They said 73 names supplied to them by concerned members of the public had been ruled out, while forensic tests and repeated public appeals have failed to lead to an identification.
The body of the woman was found on 28 August inside a black bin bag in bushes in a walled garden in Stanley Park, between the Anfield and Goodison Park football grounds.
It is believed she had been there for several weeks.
Police have received 160 reports from members of the public.
Merseyside Police said: "To date we have been unable to identify the woman despite repeated public appeals.
"Following forensic tests we have been able to establish a DNA profile for the woman but there is no match on the national DNA database. It has also not been possible to compare dental records."
The woman is described as white, believed to be around 70 years old, approximately 5ft 2in tall and of slight build, with strawberry blonde hair. She was found wearing a pink Nike T-shirt.
Detectives have been gathering CCTV and forensic evidence. They have also spoken to residents in 625 properties surrounding the park and recovered footage from 30 private and commercial cameras in the area.
Senior Investigating Officer Detective Chief Inspector John Fitzgerald: "Our investigation remains ongoing and we remain determined to identity the woman and find the person or persons responsible for her murder.
"We are actively pursuing every call we receive to ensure that people are seen to be safe and well and can be eliminated from our enquiries.
"We are continuing to appeal for anyone who has been in the area of Stanley Park over recent weeks who has seen anything suspicious to contact us and also ask anyone who may have flown a drone over the park over the past couple of months to check their footage for anything significant."
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The US company has published a lengthy report into AI misuse, including instances of malicious code and dangerous prompts it has discovered in its models.
Between December 2025 and August 2026, Anthropic's researchers identified misuse by "politically motivated individuals, state-sponsored groups seeking to spread propaganda, and spyware companies".
It blocked one request for Claude to help create a grant application for scientific funding into research to "create a new or enhanced biological property" of the chikungunya virus.
The mosquito-borne virus triggers symptoms such as severe pain and fever, and the request sought to enhance mutations to make the virus more harmful.
Anthropic said it could have been "used to make the pathogen more dangerous".
None of the cases included in the report used the newer Claude Fable or Mythos-class models, except for one "industrial-scale, covert campaign to extract a model's capabilities and replicate them in another model without authorization".
Anthropic said the older models, such as Claude Opus 4 and Claude Sonnet 4.5, "were well below the threshold" to assist a user in carrying out dangerous biological research.
The report said: "As a result, safeguards on these models were less stringent, directed mostly at preventing access to content that might uplift novices in recreating known bioweapons.
"But for today's models - which are capable of assisting in a range of complex scientific research tasks - the evidence is no longer certain, and we cannot make that same assurance."
Anthropic said it has implemented "stronger safeguards that restrict access to a wide range of dual-use biological research queries".
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Experts have repeatedly called on governments to regulate AI themselves as the models become more sophisticated, rather than relying on the industry itself.
Earlier this week, one of Anthropic's researchers, Jacob Coxon, announced he was resigning and said the company, along with its competitor OpenAI, "are racing straight to self-improving superintelligence and gambling with our lives".
He also warned that some of his colleagues believe AI could threaten humanity by the end of the decade.
Sky News has learnt that Mr Lovell, who currently chairs the Environment Agency, to head British Steel's board amid an ongoing dispute with Jingye Group, the company's former owner.
Whitehall sources said the appointment was expected to be announced later on Friday.
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Mr Lovell ran half a dozen companies in the construction and renewable energy sectors, including Costain Group, during a long executive career.
He has since chaired or served as a non-executive director of a number of other organisations, including Lloyd's of London and the Consumer Council for Water.
Mr Lovell had already announced his decision to stand down as chair of the Environment Agency, which will form part of a wider shake-up of water regulation being planned by ministers.
Jonathan Reynolds, the business secretary, is understood to have signed off Mr Lovell's appointment in recent days.
"Alan is bringing a wealth of experience to British Steel at a crucial time for the business," Mr Reynolds said in a statement issued to Sky News.
"He understands what it takes to lead companies through major change, and I know he will work closely with the workforce, the board and local communities as British Steel enters its next chapter.
"When we stepped in to secure British Steel's future, it was about far more than a single company.
"It was about backing the industries, skills and communities that will help drive Britain's reindustrialisation.
"I'm pleased Alan has agreed to take on this role and look forward to working with him to secure a strong future for steelmaking in the UK."
British Steel's transition to public ownership came 15 months after ministers seized operational control of the business from Jingye.
The Chinese company is demanding as much as £1bn in compensation, with a formal legal dispute expected to be triggered unless a bilateral settlement can be reached.
Prior to the Labour government's move in April last year, Jingye had been threatening to close Scunthorpe's two blast furnaces, with the potential loss of thousands of jobs, and replace them with a new electric arc furnace.
Along with Speciality Steel UK (SSUK), which was part of the tycoon Sanjeev Gupta's steel empire, taxpayers have so far spent more than £650m subsidising the two steel companies over the last 18 months.
Mr Reynolds has also sanctioned the appointments of a quartet of executive directors, including a former boss of Balfour Beatty, to British Steel's board.
A Whitehall source said Mr Lovell's appointment "supports our ambition to secure a long-term future for UK steelmaking as part of Britain's wider reindustrialisation, helping ensure we retain the industrial capability, skills and supply chains needed to support growth, resilience and national security".
In a statement, Mr Lovell said: "I am proud to have been appointed into this role at such a pivotal time for the company.
"The world-class steel we produce is vital to Britain's defence, infrastructure and buildings, and is a cornerstone of the UK economy.
"Together with my fellow board members, I am looking to the future with great optimism.
"We are focused on building a sustainable business for our dedicated employees, valued customers and suppliers, and the tens of thousands of people in our supply chains.
"With the resolute support of the UK government, and the highly skilled team at British Steel, we will deliver the world-class steel Britain needs now and for decades to come."
The government is expected to run a process to sell British Steel back to the private sector at some point next year.
The vehicle overturned between the villages of Susch and Zernez in the Alpine canton of Graubuenden on Thursday afternoon and rescue teams responded to the scene, authorities said.
According to Swiss media, 48 people were on the bus.
A spokeswoman for ANVR, a Dutch travel industry association, told the Blick newspaper that the passengers were all from the Netherlands.
Pictures from the scene published by the Swiss newspaper showed a bus on its side surrounded by helicopters and emergency response vehicles.
A police spokesperson said no other vehicles were believed to be involved.
Several ambulances and five helicopters were deployed to the location, according to Swiss media.
Oad, a travel agency behind the trip, said that it was "deeply shocked and devastated by the tragic bus accident".
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The Dutch Foreign Ministry said it was too early to confirm the number of victims.
Swiss president Guy Parmelin posted on X: "My thoughts are with the victims and their loved ones. I offer my sincere condolences to the families of those who lost their lives.
"I am very grateful for the efforts of the first responders. The relevant Swiss authorities will ensure that a comprehensive and thorough investigation is carried out to establish all the circumstances surrounding this accident."
The tremor was recorded by the US Geological Survey - after Lebanon's state-run news agency NNA reported the Israeli military had carried out a powerful blast at the Ali al-Taher ridge on Thursday.
Tremors and the sound of the explosion were felt across Nabatieh and its surrounding areas, according to the NNA.
Israeli Prime Minister Benjamin Netanyahu and his defence minister, Israel Katz, confirmed the attack, saying the operation completed the consolidation of a security zone in the area.
"This was strategic terror infrastructure built over two decades, with Iranian funding and planning," they said in a joint statement, adding forces had established "operational control" over the ridge, above and below ground, before dismantling the infrastructure.
"The IDF will remain in the security zone and will continue destroying terror infrastructure and thwarting any attempt by the Hezbollah terrorist organisation to re-establish itself and restore its capabilities," they said.
"The State of Israel will continue to defend the northern communities from within Lebanon - and any attempt to harm our citizens and our forces will be met with force."
The network extended for more than a mile (2km) and contained dozens of rockets, missiles and drones, as well as anti-tank missiles, mines and explosive devices, the Israel Defence Forces (IDF) said.
The complex included command centres, weapons storage rooms and living quarters that allowed fighters to remain underground for long periods, it said.
"All of the terrorists who were inside the infrastructure were eliminated or fled," it added.
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Israel occupies a large swathe of southern Lebanon that it seized during a ground invasion after Hezbollah militants began firing rockets across the border into Israel in support of Iran in March.
Despite a US-brokered framework agreed after a June ceasefire - following talks between Lebanon and Israel - that calls for Israeli forces to withdraw from occupied areas in exchange for Hezbollah's disarmament, its implementation has largely stalled.
Hezbollah has refused to give up its weapons, with Israel continuing airstrikes as it accuses the group of attacking its forces.