{"as_of":"2026-08-18T00:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:74b33928d8832ca241d5b6e39b511580502b6d0467d76862810a2b6664b3702b","coverage":[{"denominator":67,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":67,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T21:33:03.939484Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2605.26219/citation-record","integrity":"/paper/2605.26219/integrity","json":"/paper/2605.26219/citation-record.json","paper":"/paper/2605.26219"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Vidal, J","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:390386715308b15dd9ff3d5ba58748c3e04d0eb457c006e84b1d89a5509cf3c0","observation_id":"e3a98dd5-53a1-41b3-8965-ab74e90c25be","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:a10af2c649a820d26f001975e328c5dd719a2afc0db7c674450bd8f3928aa1fc","observation_id":"121960b0-8158-430d-ba26-45725e6a361d","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Jiang, Z","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:afc254a48fa7e275f964e79a3b5cd8cf6f283e9d719af3de76458a1a7108209f","observation_id":"ddf42d38-ff9e-425f-9f9e-59e6630e9251","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Kitaev and J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:c90a3823cfd58d45ea9e96661e0a51d164fe959086edb0e9bd762fe33c145387","observation_id":"29cb2a0a-c393-4008-b5b9-735945dfc4c6","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Levin and X.-G","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:962a7d288dc27c2ef871bcf334bd7044f04f8e442cc2ab62d5cac38817b6ab0e","observation_id":"42ff4973-7cbd-4ce9-8c1d-cf40bbac5b70","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:4e9cde52b511253d3a14489c5ae2d99f1f09c86f7ae324c495750001a2192818","observation_id":"fcfbc38b-d0f3-4599-b633-3713ae85d945","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Papanikolaou, K","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:3c0bb4363116737646eec2c3064f54b010e5c1443c1b46d76488801c91d90db4","observation_id":"a4c95992-ca88-4897-b757-46d4f2859378","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Castelnovo and C","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:e58e09687c0944b7129efedeeb8593a07762db75d3795fb2bea5fcdf7b0ac22b","observation_id":"21275f72-1f2b-4141-88fc-8db3f5dad9ba","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:d705e5454bcc886232d5c2e181fa8281599cd1da9c005de9f1617dd03fd90448","observation_id":"8f239b16-fe54-4304-8b22-4cdb7a5e6c7d","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:8f38414941d9a920dd3fbe3bd2f0ac8b72d4df649eefff232c00c7ded61312b0","observation_id":"36a7099e-c333-4993-aa06-0a8d05e864b3","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Buerschaper, M","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:daa38feaa2105789da708ad3b025cbdab1ce22fcaaa6a2cac64713a5488c88ae","observation_id":"06b3ba59-f2af-4b81-8f8d-f32613d43f38","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:0037b74d0de6b5aabfc5038adc385b28bf0e0491ee8f4c1699af60933f24ff90","observation_id":"14190f1b-4f8e-4d20-9969-432cdac173c1","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Zeng and X.-G","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f8b6a105e803463fea7f79bea9f42951b978b33933f145f53d56ad6a6a6de1da","observation_id":"8c1e19fa-e840-4999-8662-65252d179108","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Zeng and D.-L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:810bac2e4b013dae3fa83df8085bf1b8ae6950ead3cf9aa87ac03bb06d63d82b","observation_id":"20252a95-8c5f-479b-ab03-60b8e09f4119","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:696cdea517c4eb02b4baed6b2b457ba41c6ff8ec22e33cba3101ea01ae707570","observation_id":"687c6523-312d-4f9c-9916-6505f13622b9","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:87f538af3ad786ef7a91ad92a1118c55ef3f85ed6b2fc23271754e9e906b9cac","observation_id":"716b97cd-eb84-4beb-81e2-3bf71f75984c","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Bravyi and M","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:89b965c78c02b5c64f7eed97cb4882c2015c115039d3907aea6907179c709887","observation_id":"300b0ea3-568c-414c-8f51-10cbbc1fa8ea","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f761b89bcfaaead7030b0944b1e19b3a4a2b7ce1090243e95301dd194df31a90","observation_id":"2aa0ec47-58cc-41b9-83db-0d9f7ad2323d","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Chen, Z.-C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:86629570486eb5f25f670dbb2d8141ae65d77db22534174bca08d234e2b26f75","observation_id":"fc5bc112-af9d-4bc3-86ba-4dce4732ec02","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"D ¨ur, G","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f1cbbd6141de89d57bb6c11f7bdc6a021cac477fca9eb8b6c8174915a9b22422","observation_id":"65069ec2-6c23-49bf-86d0-9e1fa1a2b519","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Verstraete, J","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:98f5d7df352f44d5cf7c833c3070aa980fdb0ba2eecceae1b0fa8fbf6f204a3a","observation_id":"1f4bf396-b978-4282-9ed5-44731c8185ea","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Horodecki, P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:950e88116423f56c9d3dd678f8d5e2901d1827ae640f4114f17b93081b34167a","observation_id":"51e8cbf8-3c27-4837-ab74-9cac952eb54d","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.10716","last_updated":"2024-03-14T22:15:20Z","snapshot_observed_at":"2026-08-16T14:51:39.165330Z","submitted_at":"2023-10-16T18:00:01Z","title":"$W$ state is not the unique ground state of any local Hamiltonian","version":2},"cited_work":{"arxiv_id":"2310.10716","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.10716","snapshot_observed_at":"2026-06-29T21:33:58.791936Z","title":"Gioia and R","venue":null,"work_id":"eaa01e0f-86b4-4366-be66-ffd1df55513a","year":2024},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2310.10716","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:ff3c3e790101f8cfb1889292931627b2e3dfc84689fc775cb0d7d5cbac9fbf84","observation_id":"95f78048-b568-4980-a49b-d84522fcea96","resolution":{"observed_at":"2026-06-29T21:33:58.793483Z","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":"2510.24713","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:58.792726Z","title":"Gioia, S","venue":null,"work_id":"96a05085-fcfc-435e-bf94-0e44f8a524cc","year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:e844d26590aac0e34433c04c7c07ebaea52608977c36ffb1591a1d538b010536","observation_id":"94a557cc-ab50-4d68-aa89-a7f428732f44","resolution":{"observed_at":"2026-06-29T21:33:58.794076Z","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":"2601.14206","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:58.779359Z","title":"O’Dea, L","venue":null,"work_id":"cdaf39b0-46d4-479a-8807-d11b52670c7b","year":2026},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:5adeb177ce5f2ba37a7263e567bb19f320e427180a66745358fd6a5d8c0904f4","observation_id":"622f291a-04a4-488c-b49b-fbadc11876eb","resolution":{"observed_at":"2026-06-29T21:33:58.780678Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:fa4bf4a2f88b7712efb817e6d71c2a71335231aea037dc5ff93756344bf797b9","observation_id":"ffb3e9d3-3bd0-4517-abd1-f6db450e8a35","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Verstraete, M","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:3e28e9db82aebdc2b3c23ecba169e8dfb44460b71395be27d8a9faec5e7a6360","observation_id":"01b66c73-9bbe-40e0-a4f7-e09e47a41a11","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0707.2260","last_updated":"2007-07-16T05:21:57Z","snapshot_observed_at":"2026-08-15T10:36:14.133032Z","submitted_at":"2007-07-16T05:21:57Z","title":"PEPS as unique ground states of local Hamiltonians","version":1},"cited_work":{"arxiv_id":"0707.2260","doi":null,"metadata_source":"pith","pith_arxiv_id":"0707.2260","snapshot_observed_at":"2026-06-29T21:33:58.794598Z","title":"PEPS as unique ground states of local Hamiltonians","venue":"quant-ph","work_id":"b2ca6c60-dbda-40a6-979a-1beef4e04c7f","year":2007},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/0707.2260","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:fbc97b910d2463b4fc06dc9a7e39be5ec19093100aee820a8aa5d0f249f46770","observation_id":"0bf19e6f-11bc-4fbb-b0e4-976101084fc2","resolution":{"observed_at":"2026-06-29T21:33:58.795734Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Schuch, I","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:366ed448318aea7701d22fc7bb16556e54a3e02c2529cd3c7f12844baac9b6bf","observation_id":"ae938a8e-f749-4882-a46a-fe3023d569e6","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:3da9f5f62cdea825fab9d5df3812c1278558e17cac2b86277bfc0177e8a47603","observation_id":"ecd88a38-17eb-4a95-be4d-9be14e338416","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f51cbdc3d5ea1047329b3d71eccc72e9993d7f25e953edf35fb5791c05624a5a","observation_id":"248377b3-291a-4e9f-a1e1-07df8650616d","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.07212","last_updated":"2026-06-18T12:36:49Z","snapshot_observed_at":"2026-08-15T00:21:07.100826Z","submitted_at":"2025-11-10T15:38:08Z","title":"Matrix-product state skeletons in Onsager-integrable quantum chains","version":2},"cited_work":{"arxiv_id":"2511.07212","doi":null,"metadata_source":"pith","pith_arxiv_id":"2511.07212","snapshot_observed_at":"2026-06-29T21:33:58.772418Z","title":"Camp and N","venue":"quant-ph","work_id":"72401dfa-0363-4093-8015-04a5c0f6b13b","year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2511.07212","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:50eac7efcef34188f345655dadd6c09ead3e4caf5ebcccf4d37c9308c2e9c5cd","observation_id":"3920bd70-a5b6-43dc-b55e-83ea3da3ef05","resolution":{"observed_at":"2026-06-29T21:33:58.773773Z","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":"2602.15116","last_updated":"2026-07-16T15:47:19Z","snapshot_observed_at":"2026-08-13T19:50:02.686432Z","submitted_at":"2026-02-16T19:00:04Z","title":"Spectral signatures of nonstabilizerness and criticality in infinite matrix product states","version":2},"cited_work":{"arxiv_id":"2602.15116","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2602.15116","snapshot_observed_at":"2026-07-17T02:21:31.747012Z","title":"Hallam, R","venue":null,"work_id":"9b8cf229-bbc2-47cd-9d84-4c0ecf177079","year":2026},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2602.15116","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f2eafe612ff50ab6eb1d22551427040d3f049e0e0455ae7719b8664e1063bca8","observation_id":"0ce3ce5c-8d55-4fec-b143-8f20b9d74225","resolution":{"observed_at":"2026-07-17T02:21:31.747012Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:26bf1c3c659ca98271189bcb7b411610d45ccc49d4f954ef23b20b6f412292be","observation_id":"558fa903-dc69-4a39-b79e-33a02da39ec6","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Soejima, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:0f300705b264bfa146723e35534512ebe20715d81718f0685d900c601b024c97","observation_id":"f5b14177-04f7-4068-814d-c2c22b05d205","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.02792","last_updated":"2021-08-05T18:00:26Z","snapshot_observed_at":"2026-08-18T00:21:23.624319Z","submitted_at":"2021-08-05T18:00:26Z","title":"Quantum Circuits For Two-Dimensional Isometric Tensor Networks","version":1},"cited_work":{"arxiv_id":"2108.02792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2108.02792","snapshot_observed_at":"2026-06-29T21:33:58.769498Z","title":"Slattery and B","venue":null,"work_id":"ba7d1c90-b255-4286-adf6-fe38c26bb098","year":2021},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2108.02792","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:8598a898eaf3b644b9c6c94daf545f62dcb47f83ef1a24f2cfc22ccf6e1f53be","observation_id":"75bae1f2-1f70-4ae5-9dcb-5b25f4b93125","resolution":{"observed_at":"2026-06-29T21:33:58.771145Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:d6405a64b264c6b99a7a1cdb854c014f11e6c87b2bc918e5fb9c1fd214377829","observation_id":"f7808c22-d670-44f7-879b-e37369b35c96","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:56fcb408bb0798ffbc9d717ea6db3e2288103d1d9d1fdaba7bd8bfcc3bafad99","observation_id":"0c6293d1-7fe8-463e-a332-1323bd459bdf","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Boesl, Y .-J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:e1b917ff2a3b0ae81a763d08bbd42b6e466165667c0796b2d5ff028cc73f137d","observation_id":"2b0169ab-8636-4e99-a111-80933172ccdc","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.13821","last_updated":"2026-04-16T14:45:09Z","snapshot_observed_at":"2026-08-14T08:23:55.608920Z","submitted_at":"2025-11-17T19:00:02Z","title":"Skeleton of isometric Tensor Network States for Abelian String-Net Models","version":2},"cited_work":{"arxiv_id":"2511.13821","doi":null,"metadata_source":"pith","pith_arxiv_id":"2511.13821","snapshot_observed_at":"2026-06-29T21:33:58.786878Z","title":"Skeleton of isometric Tensor Network States for Abelian String-Net Models","venue":"quant-ph","work_id":"ee6847ed-c9d2-4e6d-97af-05d44b49d8c5","year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2511.13821","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:76b07db57bf4295f041a4ce8d446e6b64d0664c73b084c5e02221147be053cd5","observation_id":"9be29d62-72c5-4398-a667-d5ac33018292","resolution":{"observed_at":"2026-06-29T21:33:58.788216Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Hinrichsen, Non-equilibrium critical phenomena and phase transitions into absorbing states, Advances in Physics49, 815 (2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:1c7c71d2a795ce744bf7043b1ecf7729df64cb8b2e528ad13f78beeb2907bc20","observation_id":"bbf8f09c-4eb9-40a8-a3bc-477a620a0b7b","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"´Odor, Universality classes in nonequilibrium lattice systems, Rev","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:24b6e9c24306d60f40548bc63fe896241556d34a3bbba9afbdccfac87dc77d19","observation_id":"4793a07e-d19b-4342-b704-59bf9418b3e4","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Henkel, H","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:02506a38b0e735885917269e81f9f9815e4d93b7eb4517fd3492b0ee25f10879","observation_id":"6c1beeaf-884f-4204-909a-7a703aebabbf","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Domany and W","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:b04e4db06d095207ed48e2bd1d9d1a0abbfe25105c21c167bbb1e071328b5085","observation_id":"68e07f8f-7a39-4d36-8fed-37ce81d90d04","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Harada and N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f3fc048826e87fe1a8683a0b72f3709cf6dd3dcdb7c23da0e9d93e18e1790502","observation_id":"ade4f784-39aa-4d53-b321-d7db6a1efb12","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.07220","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T23:26:23.381896Z","title":"Chen and T","venue":null,"work_id":"01123a70-bae4-433f-8735-107e9ffceeae","year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:5bd42b3b93942ac8674389787916cf2eb5d9b081034365e3cbad06c01bc032c2","observation_id":"189f5aa4-2930-41a8-a054-bc3c85ccf78d","resolution":{"observed_at":"2026-06-29T21:33:58.785594Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Gopalakrishnan, Push-down automata as sequential genera- tors of highly entangled states, Journal of Physics A: Mathe- matical and Theoretical58, 055301 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:d5fbc5aa3ddd36c96b219d604b1058b5482fe951d8ebe13e639f124f6514841e","observation_id":"f8939ec4-a3e9-47f3-8214-3e4dd3390d71","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Zhang, Sequential generation of two-dimensional super- area-law states with local parent hamiltonian, PRX Quantum 7, 010311 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f90ad53dcc6571280b8934a142eca94f46a75cef2b7cb3a30c7f0c2b052c81c8","observation_id":"15cc5dba-a227-4aa7-b5d4-70d158ded1f9","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:e8d29ec44b883977718faa1ec7b3d63789d8fa20dbcb63b59f264fc8ada16cb2","observation_id":"17684a0d-e162-43cf-854f-c0b7435417eb","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:7fe2ee5044e6d8d2f76022904821a8477db9d8866aae668de2a15c16461e0da5","observation_id":"bf59d390-1fe3-467e-9c2c-54138fb183e5","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Malz and R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:1382b284f686e9782faeb53be927b32ecc1864ee11613242320a3360d81be095","observation_id":"c85d9e80-c1dc-484e-9a75-e90f2386e7e5","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Dickman and M","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:e81af47ad4bedb34a0fe28d8c80740282b911147ea13cd901e0b78ec8807de55","observation_id":"78155979-e1bf-496f-893d-6c19bd87251f","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Masaoka, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:3706bbf8d379a88525d2922eb4c32fdc856847a2f8d21028009aec6c65b3b0b2","observation_id":"21549159-1617-4afd-940e-eb4cdd3e0833","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:445ce4d47f03943a40456009c7d21f99d7b63d9662608655877627f87a9d50df","observation_id":"38e33f22-d8a8-41ba-baae-4d827e71485b","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Kasteleyn, Dimer statistics and phase transitions, Journal of Mathematical Physics4, 287 (1963)","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:110a7040edca1e209f13c6554e89c4844fe813adc8add766328d6fa8be3e493a","observation_id":"d24a0e3c-68e8-4381-9148-001be036cd73","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:d0d80cc8b207ba99d310666a9d2142892a48b4650e35cd5d012029cf8bd1fd55","observation_id":"0c5a564e-fddc-460b-99e6-11b7a845d842","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:56cfd551b917d6b21aae3da008923622a8a76226115ae5b5e931146c30ff4b84","observation_id":"292b8475-0f95-4c35-ae50-3cd085a7e075","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.20730","last_updated":"2026-07-01T21:29:45Z","snapshot_observed_at":"2026-08-13T02:28:08.700144Z","submitted_at":"2025-09-25T04:22:06Z","title":"Squeezing codes: robust fluctuation-stabilized memories","version":3},"cited_work":{"arxiv_id":"2509.20730","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.20730","snapshot_observed_at":"2026-07-03T01:16:49.419551Z","title":"Lake and S","venue":null,"work_id":"937021cc-05e4-4e7c-a404-628aef710084","year":2025},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"cited_paper":"/paper/2509.20730","citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:1b426fb5a75414fc899fc7e47fe8c3d4501225dd0424be99644c79bf77a04c98","observation_id":"95b657ff-5687-4843-b4fa-7da430aa5e5f","resolution":{"observed_at":"2026-07-03T01:16:49.419551Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"G´acs, Reliable cellular automata with self-organization, Jour- nal of Statistical Physics103, 45 (2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:095dcb1d91eb1a58e55838de03eb08aac545175f8d9321ee96e269a587623243","observation_id":"af46ddce-2d1d-4319-abb2-c412ba71622b","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:f0fde8e5ad658cf714590abec327f77203a93c44cdc272eb9459a6675bf00a4b","observation_id":"5d87005f-290f-4293-b822-8f9f7437e3ce","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.19630776","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Zenodo (CERN European Organization for Nuclear Research)","work_id":"faa30a1e-8e8d-4277-b915-848dd1ebd2ad","year":null},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:0d729b96183e30514f7b4a6554468e9a656fa80af1b6f7af35c2ab7584c1a858","observation_id":"919d12fe-f7af-4840-8097-94d562da8885","resolution":{"observed_at":"2026-06-29T21:33:58.164187Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Vidal and R","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:6ba795045fd22416b28dbfa4c2e0d0e4058cccd414c335177912befd219ca625","observation_id":"d4cc72fb-6f45-4567-8681-1059a7acfc03","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Peres, Separability criterion for density matrices, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:ad1bc92b074907a2375e0c5286ebca0cf13e7eb16959491ab8895eb1cad8b31f","observation_id":"e009c1a6-32ff-4e03-8b3d-a9a5a50d489f","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Horodecki, P","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:0d209aa3e2306f70d8500bb05e9620deec61d39a1a8dfbcca51f5186a083e688","observation_id":"d21618f9-e570-4f70-9c14-b1a91d1c5cb2","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Powell, Quantum kasteleyn transition, Phys","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:576adfa4a86301622413f8dd823cc9efb58470e54957389935611a4171dc9b06","observation_id":"c98b169f-0ba1-4060-ac0b-bcc61100361b","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"Grassberger, Directed percolation in 2+1 dimensions, Journal of Physics A: Mathematical and General22, 3673 (1989)","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:eb340aaefdb0b363b55379083c6bcc3dd8fd68809fe1a7621232c64806014004","observation_id":"a2323d83-cdef-493a-ab86-6a2c3335de72","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T21:33:03.939484Z","title":"plumbing","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-29T21:33:03.939484Z"},"links":{"citing_paper":"/paper/2605.26219"},"observation_digest":"sha256:3bbdbbc66caa1bded5ba57972e8c43fde2201a594ff51280e35cc9bcbcbd552e","observation_id":"b87d55ad-5676-418e-83a7-165cda3ca1f7","resolution":{"observed_at":"2026-06-29T21:33:03.939484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.26219","last_updated":"2026-05-25T18:00:04Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-16T09:51:22.561891Z","submitted_at":"2026-05-25T18:00:04Z","title":"Entanglement Pattern Transition of Quantum States from Directed Percolation"},"reference_resolution":{"displayed":67,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":56,"verified_exact":11,"verified_fuzzy":0},"total_outbound_references":67},"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 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2605.26219."}