{"as_of":"2026-08-09T21:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7533ea2d0812761078db34d7d6c2d539e0bdb3fb8b3ba43a990eddc2e4c2fc92","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T19:53:30.566637Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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":"2026-08-02T00:49:10.636476Z","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":"2026-06-29T19:53:55.258868Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"cited_work":{"arxiv_id":"2605.25683","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.25683","snapshot_observed_at":"2026-06-29T19:53:55.258868Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","venue":"cond-mat.stat-mech","work_id":"7c7a6fdf-81ac-4004-9559-a9e853bf0b7d","year":2026},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"cited_paper":"/paper/2605.25683","citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:6dd4ec21773dd7ca68e1ebccd10652b6dd0c0bbd4c61ae8bb7fdc13152e451f1","observation_id":"201cc013-9587-43d4-afb5-026cac01b2d7","resolution":{"observed_at":"2026-06-29T19:53:55.260204Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.25683","snapshot_observed_at":"2026-08-02T00:49:10.636476Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.14917","last_updated":"2026-07-16T12:35:35Z","snapshot_observed_at":"2026-08-08T01:18:54.918840Z","submitted_at":"2026-07-16T12:35:35Z","title":"Star-triangle duality estimates for triangular and honeycomb permutation models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T00:49:10.636476Z"},"links":{"cited_paper":"/paper/2605.25683","citing_paper":"/paper/2607.14917"},"observation_digest":"sha256:ebb5664a8f88ffdb32c8e665f219fdb18414c7e631927a43a35685e40349cc3c","observation_id":"8bd55716-a548-4f83-a6df-4c128935cb19","resolution":{"observed_at":"2026-08-02T00:49:10.636476Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.25683/citation-record","integrity":"/paper/2605.25683/integrity","json":"/paper/2605.25683/citation-record.json","paper":"/paper/2605.25683"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"cited_work":{"arxiv_id":"2605.25683","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.25683","snapshot_observed_at":"2026-06-29T19:53:55.258868Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","venue":"cond-mat.stat-mech","work_id":"7c7a6fdf-81ac-4004-9559-a9e853bf0b7d","year":2026},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"cited_paper":"/paper/2605.25683","citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:6dd4ec21773dd7ca68e1ebccd10652b6dd0c0bbd4c61ae8bb7fdc13152e451f1","observation_id":"201cc013-9587-43d4-afb5-026cac01b2d7","resolution":{"observed_at":"2026-06-29T19:53:55.260204Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:c1ef8c3ee593a1345c41500db242a378221f858a43c7eef0bca5380310dd1d00","observation_id":"4c77a215-4797-4919-9b3d-fb2bc1809fb1","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:1758dfccdcf8cc4a5ecc12b6d7549c1bd1390bd09b42da50134f2fa2be44eb6d","observation_id":"9aa70f64-116b-472d-a4ea-09398bf39f8d","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"du- ality analysis","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:d4f54dcd3ad7f0aee390e157a25aa87b8655f565eb60c3dd9aa0614898fbe054","observation_id":"518cb92b-5f2a-44c3-ac5f-9049291917ca","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Using the real-space renor- malization group (RSRG) method on hierarchical lattices, we determined the critical points forq=2,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:e942cec65fc53f7dc7046922b7acd07aa842f481ff748d37e1a2f547201ca0fe","observation_id":"2136661d-b835-4240-af1c-38895335b60f","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Preskill: Quantum2(2018) 79","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:7575cb03c5de669967a8ce10dcecae6b4249ebbb5138dc980575579eb3d3ab6e","observation_id":"88dd079e-5887-4ab6-880e-9e89287abcce","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:7a2f3c22c360c195cd25e51322a68eaea0deef7d015a11e45b490c3af61fbdb1","observation_id":"dbef6ccc-3299-407f-b5fc-54f58cf79c14","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Jordan, R","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:39b57ebcebd06825f4d2bfc36904dffa85d6935c8d4f6ef1c1bfd775f64977e4","observation_id":"fd17ee7c-5d18-41c8-8e0f-96e33b03998b","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Arute, K","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:696a0d13a33a7eb59846a7496992d40b2bdd6ba5ec8c26b8a5964603403cd14d","observation_id":"57c8d9ac-9827-4965-a51f-fecd7206f104","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:f63e9dc3ef88f166df199ed35b0a71321b509b1b6e6bda652600f472b1b593e1","observation_id":"b4048a19-73ad-4749-b765-0b9b1e098eba","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:8015ccf6163482592721d158537b25303f46c17fdbfb822de4adff19c2723499","observation_id":"8c50444b-a6c0-4a15-a292-367a23df4633","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Jian, Y .-Z","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:b824fb1b0174d3cbe1f881efa118c1cae815e64cade722b01b5a8c615bfc18d4","observation_id":"381a1ec4-3760-48c7-91a2-bf0ca5b5bc6e","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:7d57e72d88c19122f59baa3646f60d4df56c362898e068bdb27f03736bfab701","observation_id":"8b919a9c-e2de-4369-a3ee-c36123548766","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Hayden, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:e48d428206a129dc95ff42cea8c23101476fee86fed07165bf6775871c4d5210","observation_id":"d23276a2-05ed-4c94-8e10-5920157c58ee","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Vasseur, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:75cf9b234b42cc0358df72709e5b9eb8059bfe4727cc22c0085185ba33e7e886","observation_id":"4475ef7d-9b57-4224-b747-029dedba8e13","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Ohzeki, H","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:7366cf35c3d91b7b9f59a34e73f5229227a7a0bb1766036e0288db58bb93fd9f","observation_id":"244e1d84-d973-452a-a349-b3302c191cbd","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Ohzeki: Physical Review E79(2009) 021129","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:88d422ef8ec5785da7a3dd3376562ecbbf0549832b6303b06d70b48a004622f6","observation_id":"0a4b4c0b-83eb-4996-977c-4915b3fda5b9","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Ohzeki and J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:a628bcd1f3b69d634e099de1103a577f69b8e4cb701fb13bc0fedd948286075a","observation_id":"b5d2d480-da48-4abc-a03d-14d7a771958a","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":"Ohzeki: Progress of Theoretical and Experimental Physics (2024) ptae171","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:1764e0d6463a731e499132e4ac2d1d33dffedc336f3c04ecab19dc5b13669818","observation_id":"967c1492-5cf1-471f-a6ad-9258b4e2473f","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","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":"2026-06-29T19:53:30.566637Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T19:53:30.566637Z"},"links":{"citing_paper":"/paper/2605.25683"},"observation_digest":"sha256:634eeeff450ca59c02d9361a4eaef5c5148c0424da973c547c780f1b5551c83b","observation_id":"5eb0a5fa-0e26-4e0e-bbd8-f7dce82014a3","resolution":{"observed_at":"2026-06-29T19:53:30.566637Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.25683","last_updated":"2026-05-25T10:39:41Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-03T05:33:55.788234Z","submitted_at":"2026-05-25T10:39:41Z","title":"Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":20},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2605.25683."}