{"as_of":"2026-08-18T01:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:17a1fceffbd2396ff883067f30d2f740575ecddffb2b599bf22a5043fd8149a0","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-16T22:37:25.557234Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:04:02.427530Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T04:36:45.555205Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"cited_work":{"arxiv_id":"2512.11118","doi":null,"metadata_source":"pith","pith_arxiv_id":"2512.11118","snapshot_observed_at":"2026-07-10T04:36:45.555205Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","venue":"quant-ph","work_id":"a9a227c5-456b-48c9-9317-bb67e01a6d8e","year":2025},"citing_paper":{"arxiv_id":"2607.08615","last_updated":"2026-07-09T15:47:51Z","snapshot_observed_at":"2026-08-13T18:38:48.596246Z","submitted_at":"2026-07-09T15:47:51Z","title":"Operational meaning of Markov gap in tripartite entanglement of quantum dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-10T04:32:45.857657Z"},"links":{"cited_paper":"/paper/2512.11118","citing_paper":"/paper/2607.08615"},"observation_digest":"sha256:2ae046c9405a915ddaee8771dca56f29002c7e75d132fe9f02f367fd746b8814","observation_id":"817483d1-2104-4171-907e-e0a99c01d30f","resolution":{"observed_at":"2026-07-10T04:36:45.556728Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.11118","snapshot_observed_at":"2026-08-15T15:04:02.427530Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.03102","last_updated":"2026-08-14T05:00:55Z","snapshot_observed_at":"2026-08-18T01:09:40.177558Z","submitted_at":"2026-08-04T04:19:07Z","title":"Typical Output States of Monitored Random Clifford Circuits: A Graph-Theoretic Approach","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:02.427530Z"},"links":{"cited_paper":"/paper/2512.11118","citing_paper":"/paper/2608.03102"},"observation_digest":"sha256:94ec42693f2ebbf243bcc9f480355cc3071a3e965f76af94eca14b9c54eb4043","observation_id":"fab3ff81-0992-4d53-b7eb-992624febc46","resolution":{"observed_at":"2026-08-15T15:04:02.427530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2512.11118/citation-record","integrity":"/paper/2512.11118/integrity","json":"/paper/2512.11118/citation-record.json","paper":"/paper/2512.11118"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"agonalization (ED)","venue":null,"work_id":"9c0a906b-be63-41fa-abaa-3a2ea38f46f5","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:c8b55021ac41041611c3cf0918aa9861ea09ab37e9dbd4d8f77139faacc31bc4","observation_id":"22d8c54e-1d12-41ad-a723-a95fb2445240","resolution":{"observed_at":"2026-05-16T22:41:20.472776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hauke, M","venue":null,"work_id":"3891dc3f-fcf9-4cc4-a515-aafe3ed1705e","year":2016},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:72402c7a7c471b72ac190b8812d70e205d45ba57d3d590424a65ce4a0eee4e99","observation_id":"8b04cbdf-e08b-452e-a6cb-210e1b871001","resolution":{"observed_at":"2026-05-16T22:41:20.482942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pezzè, M","venue":null,"work_id":"11b39e96-a762-41fc-ac9b-4a2c750e2b3e","year":2017},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:70bf1817fca2803555c580162e77f53081064ab37795392d831f62139487b42d","observation_id":"fecf3b71-0ab7-45b7-b5b9-355feaf44ccf","resolution":{"observed_at":"2026-05-16T22:43:38.565131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hofmann, A","venue":null,"work_id":"e29686a0-75b1-461d-a84f-f2b645558c54","year":2014},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:4d7fbb1983d74824d73dd93321e77eb4065b6224ce4feeb5143f4f5e4ee52ab7","observation_id":"905cdcb4-ac2e-4c9a-936d-b96fae9815bc","resolution":{"observed_at":"2026-05-16T22:43:38.588698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c80583d6-f249-4cc2-b685-a9b819ba7364","year":2013},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:c63e07e4514640bb148a2045ddaa2ac60e51b3dd5ffb2be391e60429105115ea","observation_id":"f49bf27b-37f1-4693-a3e1-0c170ee5c608","resolution":{"observed_at":"2026-05-16T22:43:38.574392Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a0873f80-c90f-4870-9924-145f5b400c10","year":2014},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:97bf5695b595e516c2a7a5261767d4ea9e7da0b7c55dd88350c6f78eb63c7858","observation_id":"dbf09659-3554-49fd-a452-0ffecedfe881","resolution":{"observed_at":"2026-05-16T22:43:38.568727Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.48550/arxiv2402","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Parez and W","venue":null,"work_id":"79f932c3-774b-4057-8800-afd947be3c7d","year":2024},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:df5b2342d25accef78a00d65b5411567330eb0a127e75ea34b0cb829c8ccc7db","observation_id":"934a48f8-e2d1-48c3-8981-0ae1f09e19f7","resolution":{"observed_at":"2026-05-16T22:38:37.401537Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4bd73f6f-ea23-434f-b25d-22950b121b6d","year":2025},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:12e33f9c53d9f6468b97571ffc51d5f1136b121e57acc9f71a55c1f358bac390","observation_id":"8a99b1bf-6ae6-433b-9550-ec0a562e1fb8","resolution":{"observed_at":"2026-05-16T22:43:38.570602Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6e5e36ea-22a7-4864-91a3-fb97c234701d","year":2025},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:d01803febc280affa7f73d35a908f0de2dcbb9b047f88436bebb90736f48fad3","observation_id":"e7e78287-e498-4c95-9e66-3d8c72053e71","resolution":{"observed_at":"2026-05-16T22:43:38.586961Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18124","last_updated":"2025-07-11T22:08:17Z","snapshot_observed_at":"2026-08-17T11:29:00.158000Z","submitted_at":"2025-05-23T17:30:27Z","title":"Multiparty entanglement loops in quantum spin liquids","version":2},"cited_work":{"arxiv_id":"2505.18124","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18124","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9e3285ac-f40a-426d-9cce-d8f201353796","year":2025},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"cited_paper":"/paper/2505.18124","citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:f0d947af7eddb264bf452d60a30d10e0a35b7a190a87274ef0918628e8658e72","observation_id":"1a5f0d9b-0372-4add-91f1-6241819146b5","resolution":{"observed_at":"2026-05-16T22:38:37.610807Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.02256","last_updated":"2026-04-22T13:26:04Z","snapshot_observed_at":"2026-08-02T16:14:53.752774Z","submitted_at":"2025-10-02T17:39:53Z","title":"Fate of entanglement in open quantum spin liquid: Time evolution of its genuine multipartite negativity upon sudden coupling to a dissipative bosonic environment","version":4},"cited_work":{"arxiv_id":"2510.02256","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.02256","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Fate of entanglement in open quantum spin liquid: Time evolution of its genuine multipartite negativity upon sudden coupling to a dissipative bosonic environment","venue":"cond-mat.str-el","work_id":"4a0590d5-1693-4376-a15b-59ef414e0f52","year":2025},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"cited_paper":"/paper/2510.02256","citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:d9708e2030b5ac799d46931686a733e093bd686a4d67923565c9c0af81766b96","observation_id":"ae94ac81-3954-45c8-a15c-c928feb95251","resolution":{"observed_at":"2026-05-16T22:38:37.601136Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.15144","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"classical","venue":null,"work_id":"3a1f9dd5-37b3-4bed-ada5-12d19acce96c","year":2025},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:8dc3c7aeca8998985c66ea130df157f9986571b3abbc51ab526be92b6d32371e","observation_id":"9c8c48ec-74b5-4500-bef8-1497842ff190","resolution":{"observed_at":"2026-05-16T22:38:37.614967Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Jungnitsch, T","venue":null,"work_id":"29d1e0b9-745e-41e3-84ab-f02722d445ff","year":2011},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:9d7a67c93f57763842f34e8226e23f787760aea893c57b2bd595dbaa72dfdeec","observation_id":"1afedfb0-a3ec-4390-be47-70ac8e4023e6","resolution":{"observed_at":"2026-05-16T22:41:20.466837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hofmann, T","venue":null,"work_id":"024ce388-fa4b-4c91-bb62-52c6a5c0ea9a","year":2014},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:fe06fd052be486a423653eb65d34c07383c4aa2df0a8ef78fa44d943bd1571fc","observation_id":"c44239ab-d3fe-425c-9865-edf218b9b3ca","resolution":{"observed_at":"2026-05-16T22:43:38.583327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Navascués, E","venue":null,"work_id":"1372bbd1-163c-46c9-b10c-b822dce00609","year":2020},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:d95d56fb05542ae93f23954ee90bb7d567139d21184ec789b94c32be73823bf5","observation_id":"2b82ab5f-23e1-4cc4-9425-1b8de62c95be","resolution":{"observed_at":"2026-05-16T22:43:38.578246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kraft, S","venue":null,"work_id":"5e0e4c1d-802a-4e77-a268-da451cfaa019","year":2021},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:da1b2cf7a4154e2296d62681c5a7541d8ebfabcb284cc3b7738e08079040b7c7","observation_id":"4440a77d-09b3-4946-90fe-2205f0d23c48","resolution":{"observed_at":"2026-05-16T22:43:38.581709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Luo, New genuinely multipartite entanglement, Advanced Quantum Technologies4, 2000123 (2021)","venue":null,"work_id":"d927e388-8de1-46b9-ba1c-f28cba483ab4","year":2021},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:2069dcc89c512e5dd48561f779cffc2e98d9db90140d2c66ac3d02f27bfde89f","observation_id":"b83cb53f-f211-4833-9174-98d6a100740d","resolution":{"observed_at":"2026-05-16T22:41:20.464394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kitaev, Anyons in an exactly solved model and be- yond, Annals of Physics321, 2 (2006), january Special Issue","venue":null,"work_id":"85662bcc-57fd-4067-95f0-d5184e1ae6b6","year":2006},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:5cd4780ed855769c0603b65c0994cc082babfcfd78a78ce52659d151dea34f4d","observation_id":"f3ebe352-ed02-499d-adde-d1e571e245b2","resolution":{"observed_at":"2026-05-16T22:41:20.470230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:07:03.950531Z","title":"Eisert, M","venue":null,"work_id":"4564115a-b1e4-4f64-8133-3f26d737cc3b","year":2010},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:fc7113ee0fc0e1aebbd505a91d8aceb43a858639e9c509f9062215d983936bc9","observation_id":"d1664690-4afb-4ddc-a4f2-26876e63efee","resolution":{"observed_at":"2026-05-16T22:41:20.475290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2da1d9a3-28d1-4a28-82b5-3278a63ada36","year":2005},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:04eff90145f10d5bc0f230f21a8a1642843a7733c2827cfad9410fd614c57137","observation_id":"9f5f745a-2801-452b-aa33-d2162e3d989c","resolution":{"observed_at":"2026-05-16T22:41:20.477977Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:46:17.965078Z","title":"Peres, Separability Criterion for Density Matrices, Phys","venue":null,"work_id":"e724f574-adf4-443d-b6a3-25d4661dfee5","year":1996},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:052870602f47d439f4a8078d34823065846b4c8425fc80ef703061b03577aae7","observation_id":"a2cfa268-79e8-496f-9dc6-f47268cc6700","resolution":{"observed_at":"2026-05-16T22:41:20.488506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Giudici, T","venue":null,"work_id":"fe8a9046-94d4-44d5-9cc7-707c92635871","year":2018},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:048d086f5b6eced96c284b27e0fd1863df45f7dd5bebd534ca2f1e88a5fb1b62","observation_id":"2a616639-8896-4dad-8a2d-81b7ab900fd7","resolution":{"observed_at":"2026-05-16T22:41:20.493376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dalmonte, V","venue":null,"work_id":"f4a39d8b-0be5-48fb-b2e9-1d985bf8582d","year":2022},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:2b75b45a7be46c53ad0f590a8f3590726f1be6f014d49e2b2b3c255774057799","observation_id":"3a5bfecc-9aea-4341-8383-8b34ccfa94f8","resolution":{"observed_at":"2026-05-16T22:43:38.585143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Åberg, R","venue":null,"work_id":"021dd8f2-30fe-4908-8c38-d45147cc308f","year":2020},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:70db9832986f6db09140f1735d03b31706fee0d112dceef9f2ff1d577d42127d","observation_id":"5d1dbde0-ed2c-4c0c-abcb-869755f50f26","resolution":{"observed_at":"2026-05-16T22:41:20.490937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kraft, C","venue":null,"work_id":"f0303782-6e40-4deb-a451-520fb1e86866","year":2021},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:9fd418e15382114012762c4060358c71783a11e0ca3e6920fbbae900c410b8e2","observation_id":"5f40e81e-1cb9-4477-9052-e8aa631811fc","resolution":{"observed_at":"2026-05-16T22:43:38.554489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hansenne, Z.-P","venue":null,"work_id":"f8848781-6415-4397-96ac-48cd4273ed1f","year":2022},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:b0b5d135f85599577d3584c996f8a2efe3147ee932da3125ff1952761085b962","observation_id":"8980832a-640e-4550-bb1e-580404c4f88b","resolution":{"observed_at":"2026-05-16T22:43:38.563395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Xu, Characterizing arbitrary quantum networks in the noisy intermediate-scale quantum era, Phys","venue":null,"work_id":"5cf25d9d-c669-463a-aa6e-077152e440d3","year":2023},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:bf3f033e541612e397bde3961bc2de32f3afbaececd887d735d7830af1e2b4b0","observation_id":"4e89c221-ab95-4116-8fa2-6507dfcb446e","resolution":{"observed_at":"2026-05-16T22:43:38.567015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pandya, O","venue":null,"work_id":"5e3df6c0-4fca-48d1-8cfa-9955999d686f","year":2020},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:4d5d81a7328cd98d0717f1f2180b8734dad213ad9bbbf0742a3d95432e80360a","observation_id":"344555ac-3af9-4096-94c7-51208d94d388","resolution":{"observed_at":"2026-05-16T22:41:20.480388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3e09af03-71df-424a-8d80-033f817bd262","year":1966},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:ba31f43a0ec0e29b699cd7838e1b2dffab355f2cef3531dc38ec10019f0a107a","observation_id":"1b159a2b-fb2b-4cfa-9c1d-459399973a89","resolution":{"observed_at":"2026-05-16T22:41:20.485565Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Shang and O","venue":null,"work_id":"a129a05b-4553-4dfa-96a4-155e25eb1be1","year":2018},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:97f86228b6bf7535ff98ad424b748c1a07d649e21a000be1a32852efa199d5cf","observation_id":"78b7a156-8ebf-44f4-b4f7-1f194e2ee1f7","resolution":{"observed_at":"2026-05-16T22:43:38.580021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-05T02:20:37.846803Z","title":"Pfeuty, The one-dimensional Ising model with a trans- verse field, Annals of Physics57, 79 (1970)","venue":null,"work_id":"bd6b4497-a442-49df-9d71-500ef7274bfa","year":1970},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:f80a6d46be1f464764a2c85c61b6460e93992f15902545073c2c789ec6368839","observation_id":"ce776e67-12a1-4989-8acb-0041358844e6","resolution":{"observed_at":"2026-05-16T22:43:38.576422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Fagotti and F","venue":null,"work_id":"81dcb673-cd09-4496-9da3-ac89fe8f6e16","year":2013},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:278eb1d16c03d2e22f22f6c4abbba3b442f1a9362cab20264d1bd8ab2d106cd3","observation_id":"69229c81-c296-41aa-b3ba-9720dbe2e5c6","resolution":{"observed_at":"2026-05-16T22:43:38.561752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bauer, L","venue":null,"work_id":"77e6dd57-f151-44e5-b4f7-967125b69fed","year":2014},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:2df43e7f529121ca3197177269fb3b67b1752dde8810a1f2dd3ad187eb5292ec","observation_id":"58904e8a-5ea7-4c88-b601-0cd3d5c4924a","resolution":{"observed_at":"2026-05-16T22:43:38.552778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Vedral, M","venue":null,"work_id":"f438f45a-c030-438f-8922-01b8917c21b2","year":1997},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:283409171ab4da67124f863e5df22d77d5de60f9bdaf0ba8d4953c2017248648","observation_id":"fbdf5d80-e9e4-469f-bf5b-c2005f81d5cb","resolution":{"observed_at":"2026-05-16T22:41:20.459919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.05011","last_updated":"2017-01-05T13:51:49Z","snapshot_observed_at":"2026-08-14T21:39:33.268210Z","submitted_at":"2016-09-16T11:43:59Z","title":"Convex separation from convex optimization for large-scale problems","version":2},"cited_work":{"arxiv_id":"1609.05011","doi":null,"metadata_source":"pith","pith_arxiv_id":"1609.05011","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Convex separation from convex optimization for large-scale problems","venue":"quant-ph","work_id":"fc7b47a9-3c2b-4eef-a130-d7547556b0c7","year":2016},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"cited_paper":"/paper/1609.05011","citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:7233684535531d975878517a933e2e3386f87891cca8a1d7740f6bbeb46555d7","observation_id":"4761fc8c-9fdc-449a-bf0e-622df7861e08","resolution":{"observed_at":"2026-05-16T22:38:37.605245Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gurvits and H","venue":null,"work_id":"3227c85e-09a1-46be-87bf-85d9bb976bf8","year":2003},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:2c1ed9147d85ce6423cdc565a0efafa010134151c8047cbedaaac9a6479e80ff","observation_id":"8f2698c3-4221-40bb-bbec-5464ad037dc8","resolution":{"observed_at":"2026-05-16T22:41:20.461876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Wolfe, R","venue":null,"work_id":"782d87b5-8203-4451-9686-b97c97907bcb","year":2019},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:8d115b107f3534c0911a878dbd8e13b65db376a1c7854e893d8f64e51e53384b","observation_id":"3ccd4a96-199a-41b4-a98b-cf3277a9fc65","resolution":{"observed_at":"2026-05-16T22:43:38.556206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Wolfe, A","venue":null,"work_id":"7a5af4ca-f47b-4a71-b355-3c31c54f468b","year":2021},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:67f9db7002ce50d80bad7b20581a62f3f0d9aa339b280b10c5c2f196149a8bc7","observation_id":"3e393482-eddc-47b8-b62c-13177d2691f7","resolution":{"observed_at":"2026-05-16T22:41:20.452205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"629accd1-77e0-4665-aeba-1bc04e522043","year":2002},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:856cb26005658fab6648616ba2c538189c1a61d878bb2bfddd08a953f1c61047","observation_id":"5f2a5025-5cb8-420c-93a5-41c0cc03b151","resolution":{"observed_at":"2026-05-16T22:41:20.449194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Löfberg, inIn Proceedings of the CACSD Conference (Taipei, Taiwan, 2004)","venue":null,"work_id":"0d1e6c88-b826-443b-94e0-4a9045ab6c66","year":2004},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:432093451d30fcf2741f29e81f353ff4bab7673dfab63628200fc315c9689e02","observation_id":"339c163c-6f2a-44d1-b624-301774e40a02","resolution":{"observed_at":"2026-05-16T22:41:20.435506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"O’Donoghue, E","venue":null,"work_id":"76bc7e84-0ecb-4495-b9c4-4fe4cf290be1","year":2016},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:2047a3da9e8141b5de13ec8f5cb8a81dd65af4df05317b458774ace3f536ad9b","observation_id":"b049ee95-3d91-4955-aca8-5e52750f6e6d","resolution":{"observed_at":"2026-05-16T22:41:20.432097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0de1c192-8817-45fe-96df-33e8d5146f61","year":2013},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:428cf18f23850b2ee99b33d7567a3af22d56cdd2f1b114110bf9c84b5137988b","observation_id":"b0d436bf-d687-4476-bf81-4b3c3a2a1ef4","resolution":{"observed_at":"2026-05-16T22:41:20.439345Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Vidal and R","venue":null,"work_id":"cf814f42-dbe2-439a-ba77-a540885ab723","year":2002},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:442907120dd80fc0b3cc7ea868f6b13c2160883ff0668181bd19b13226ef7aaf","observation_id":"14fd678a-f1fd-45f5-ac8a-d686a1672b52","resolution":{"observed_at":"2026-05-16T22:41:20.442262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The geometric entanglement is defined as [34] Dnet =min σ∈net d(ρ, σ)(7) whered(ρ, σ)= √ Tr[(ρ−σ)2]is the Hilbert-Schmidt distance between two quantum states","venue":null,"work_id":"68281653-4156-4a3f-8cd8-9334680dac7e","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:cdad9bd1d4a75ff257dc9928a74589b7b2bc0014cfcebcbaa497b64bd5fe1e2a","observation_id":"50ebbd2b-e9a1-4f2f-bd23-7c44a5423997","resolution":{"observed_at":"2026-05-16T22:41:20.429243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"An additional improvement on the Gilbert algorithm can be made by recording the pure states generated in step 2 (Gilbert with Memory [35])","venue":null,"work_id":"94543218-27ac-42ac-9120-ef1fad5aa22f","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:71075a0051a44d3a7b3143c78f1e8730a05912ecace0767f375fb34a90794b24","observation_id":"1ab36132-a3c2-4ed8-bbb6-4e140b65f171","resolution":{"observed_at":"2026-05-16T22:41:20.446629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The criterion introduced in Ref","venue":null,"work_id":"eaa3968c-2257-41b5-a3a6-6d2949ca6507","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:1e72974218e6b33042e3a28d38418f2cb5ec8c83b62887ebae19693a2dad0b4a","observation_id":"47b997e3-6cf8-49c6-b3a0-2637d5a7eb5b","resolution":{"observed_at":"2026-05-16T22:41:20.454707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"To certify that a state lies outside the set of network states, a general strategy is to work with a tractableinflation, i.e","venue":null,"work_id":"6f97ddf8-9b1d-4a04-9bb8-d6573dee01b8","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:5b5aa4f0bb308771ba9f5ef6b3c2fcbed762a731790b603bd79d7166fcbc0f2b","observation_id":"80af2e60-858a-4b4c-9a6a-e976321b03f2","resolution":{"observed_at":"2026-05-16T22:41:20.468541Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9110d04c-6b08-4c1e-b792-aaf2ebbc7d11","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:81643f6d90cf285257a9885a6ba1d775a31936c91fdc40d8c30855b780f2f22a","observation_id":"e97d25f9-ae7a-43e1-9f19-1230532199ff","resolution":{"observed_at":"2026-05-16T22:43:38.572546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Given a three-qubit stateρ, we construct the extended stateρ ext =ρ⊗I/D, where the ancilla is a three-qubit maximally mixed state withD=8","venue":null,"work_id":"e76a3756-3ea9-4fc8-b00f-22bb2232b04b","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:8fe62f19f14a908aa3104855731bfe3cd8d3615106eeeae430afdea37fa2c36d","observation_id":"627e3624-58e3-4c4c-ad11-46164f34669e","resolution":{"observed_at":"2026-05-16T22:43:38.558326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"previous best","venue":null,"work_id":"2efb55b4-ca66-41d0-9839-65a7cda8f3bc","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:c1436fdf95c1860b4722bb261b7f997d92d5333d591e4e41c705c2eabc94f43e","observation_id":"526a5307-6c67-4122-b48d-1a2ca066c865","resolution":{"observed_at":"2026-05-16T22:43:38.560049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"We consider the transformed quantity D−Dc h−hc , which approaches the derivativedD/dhash→h c","venue":null,"work_id":"d3729f0b-73ac-48c8-b335-eda2ee2bfa8c","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:d867295da53dc1184820d85f8846956408f3e5368e52b8bb01a8c9babc066c42","observation_id":"aea3a738-8434-4aa7-9f29-19f614a17f3c","resolution":{"observed_at":"2026-05-16T22:43:38.551166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"To quantify Genuine multiparty entanglement (GME), 18 0.2 0.3 0.4 0.6 0.8 1 1.2 1.5 2 3 4 h 0.005 0.01 0.05 0.1 0.2 NgorNmin h2 h!1 GMNNmin FIG","venue":null,"work_id":"9692cbd1-6754-49a9-93e4-1a5014702997","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:9e7ccd166cbef9407a8111e596ca8d195d584c1f25a56dd2304381c63ecede4b","observation_id":"af2dd108-b356-49a0-911f-3a99cca4f6d9","resolution":{"observed_at":"2026-05-16T22:41:20.464688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Recall that by definition, GMN is always upper-bounded byNmin","venue":null,"work_id":"3a90b75a-1bdf-4457-85e4-077386a645c4","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:eaa4c5ef1ee435be789d3097885fd7e470aa03af9ea103e3e597753eb8acc31f","observation_id":"51b88fad-9a63-4faa-84e5-33fc6f1ccac4","resolution":{"observed_at":"2026-05-16T22:43:38.548654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b7ba489b-5454-4a0b-b920-8d90decb9700","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:eb4e1130946fe9af00cfe991b8174382fc64f606fe83dd1bada43756c22e6c0a","observation_id":"75e1e921-b5fd-469f-8625-db39329cde75","resolution":{"observed_at":"2026-05-16T22:41:20.457534Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"364ad53e-660a-49ba-a8eb-41484560a467","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:f64b313c57674a70551a5604c72c226779c2af749eabcce5768ef1c2c6ec4524","observation_id":"b5d4525b-e40c-49cb-99ca-08a6cfbd0de0","resolution":{"observed_at":"2026-05-16T22:41:20.499507Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"We define the minimal bipartite entanglement of a stateρas Emin(ρ)=min m Em(ρ),(28) wheremruns over all possible bipartitions of the system","venue":null,"work_id":"07ac50b4-1dc6-4506-af7b-67e1df85892e","year":null},"citing_paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-16T22:37:25.557234Z"},"links":{"citing_paper":"/paper/2512.11118"},"observation_digest":"sha256:37d3a82d159783de76e3ad74aef2a66d7dfd76365f4404d063d3b57b16a4d992","observation_id":"dc5456fa-5178-49c0-804e-433ae668378a","resolution":{"observed_at":"2026-05-16T22:41:20.496192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2512.11118","last_updated":"2026-04-27T03:44:37Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-02T21:13:25.536710Z","submitted_at":"2025-12-11T20:59:22Z","title":"Network-Irreducible Multiparty Entanglement in Quantum Matter"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":5,"verified_fuzzy":39},"total_outbound_references":56},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2512.11118."}