{"as_of":"2026-08-13T03:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b0005f71d7cc9272eebe5d6137f07fbfe7089790a413990247e57a001473b97c","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:35:20.236492Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:17:47.747414Z","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":"2026-08-12T16:17:47.789478Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"cited_work":{"arxiv_id":"2411.13374","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.13374","snapshot_observed_at":"2026-08-12T16:17:47.789478Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","venue":"cs.DS","work_id":"4bfb310d-7834-4280-be04-79c0462898ef","year":2024},"citing_paper":{"arxiv_id":"2411.13708","last_updated":"2024-11-26T17:01:59Z","snapshot_observed_at":"2026-08-12T15:56:21.015136Z","submitted_at":"2024-11-20T20:58:08Z","title":"Comments on \"$\\mathcal{O}(m\\cdot n)$ algorithms for the recognition and isomorphism problems on circular-arc graphs\"","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:47.747414Z"},"links":{"cited_paper":"/paper/2411.13374","citing_paper":"/paper/2411.13708"},"observation_digest":"sha256:fcecee1448ae5c7f1c4136a247272b7dc1f8066dd94a4562165e8894f445aa55","observation_id":"b2c245f3-25c9-41ae-a73b-467c1cd9f62e","resolution":{"observed_at":"2026-08-12T16:17:47.795733Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.13374/citation-record","integrity":"/paper/2411.13374/integrity","json":"/paper/2411.13374/citation-record.json","paper":"/paper/2411.13374"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.081324Z","title":"Aho, John E","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.081324Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:b64c21ed2ce2eb6508bd03a3c545702b52910fdc8a8842e7263bedf84143a06d","observation_id":"c12285c4-596f-4c4c-8748-64283e43d77c","resolution":{"observed_at":"2026-08-12T16:35:20.081324Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.734492Z","title":"Graph isomorphism in quasipolynomial time [extende d abstract]","venue":null,"work_id":"8609219d-2269-4a39-a589-6efecf11347a","year":2016},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.086944Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:728770f9c677916160bcedfd2063458ea9730fd65e9c74477bba7874eb39b8a1","observation_id":"2aaa1468-bb3c-4c73-bba1-c28c5ee14072","resolution":{"observed_at":"2026-08-12T16:35:20.740550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.710935Z","title":null,"venue":null,"work_id":"861df1b1-4464-4562-8f43-faf72e69e6e6","year":1980},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.091617Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:cb92dc9aa47595c5971eb5f51dd08842642d53a400f2d6408e85a634f04708c9","observation_id":"789f67a6-fda2-4150-b7d0-ca0786611ad7","resolution":{"observed_at":"2026-08-12T16:35:20.715367Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:35:20.096818Z","title":"Booth and George S","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.096818Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:ee5e287e9724f9d934844c10493495f89959b90691e29fd39117861a25880fed","observation_id":"31ec4712-05c0-4ff5-8d85-e6580438070f","resolution":{"observed_at":"2026-08-12T16:35:20.096818Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.680313Z","title":"Deciding circular-arc graph isomorphism in para meterized logspace","venue":null,"work_id":"502e1f33-2f2c-4584-9bcb-3b79fc456cdd","year":2016},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.101911Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:527e304269584aeb18f0f5b7a1aabb749b1ee1dcd1afb0d36ea20a3b47edf99e","observation_id":"1a36d2bb-9297-42b9-ae36-121da1c3855b","resolution":{"observed_at":"2026-08-12T16:35:20.688189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.654668Z","title":"Extending pa rtial representations of circle graphs","venue":null,"work_id":"037b892a-3d73-4cfe-9e73-9d0c8eff1737","year":2019},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.108992Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:e17807803d02e063d98007f181771596773fe281ea1a04b4c0c7246011ef0c34","observation_id":"f422a140-02f4-4a9f-85b2-8eae95b72f61","resolution":{"observed_at":"2026-08-12T16:35:20.663806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.636759Z","title":"Cunningham","venue":null,"work_id":"89dce45c-17c3-4cef-950c-6905a4d5f322","year":1982},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.114849Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:788249ea7fdbafc6ce85c6a40f38e2587130e7730bcf661c605a19a12a47a872","observation_id":"52b975ee-14fd-4375-a4c6-9ddb1ea5d204","resolution":{"observed_at":"2026-08-12T16:35:20.644518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:35:20.120859Z","title":"Curtis, Min Chih Lin, Ross M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.120859Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:06753bc87f871e926aeb7000fdeabccab09642b862554f5bd947ec35250f73a0","observation_id":"c2989eb5-deae-4dc2-bf10-43f103886596","resolution":{"observed_at":"2026-08-12T16:35:20.120859Z","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":"2026-08-12T16:35:20.126462Z","title":null,"venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.126462Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:3d89ae91b6383f39a4ddc9b714de689cdfe4e80b7ffcaba57aace37d2a1087ef","observation_id":"cf8de91c-5cb8-42b8-9ce2-66de7fd15676","resolution":{"observed_at":"2026-08-12T16:35:20.126462Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.601243Z","title":"Circular-arc graph recognition and related problems","venue":null,"work_id":"14d65c10-78d0-4ee2-a403-b512f53f165d","year":null},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.133407Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:527644592d4f2a5aea4cd24363d828bf9b4f99f4df29a105efccf96432ce474e","observation_id":"3c2c72ed-d391-4e87-9c73-6163337b5857","resolution":{"observed_at":"2026-08-12T16:35:20.606171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.568935Z","title":"Gabor, Kenneth J","venue":null,"work_id":"a869104c-2c95-447f-922d-717c5a4555c9","year":1989},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.144507Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:35bde0a207c8066533c4988f53e92722d9fde80f59f5e5dfd35f17f00095b895","observation_id":"09e32117-563f-4501-a856-9b6586e05de4","resolution":{"observed_at":"2026-08-12T16:35:20.574547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.551642Z","title":"Transitiv orientierbare Graphen","venue":null,"work_id":"05e3cf22-2d24-400f-abd7-7f673a8df62c","year":1967},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.150495Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:819f78a108317050816464f43e7f8f29031f9624e90c1870be55da87b4bb70d4","observation_id":"0bfeb2d6-d4e2-42b2-8d33-ae189fcc6092","resolution":{"observed_at":"2026-08-12T16:35:20.557204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.527977Z","title":"Garey, David S","venue":null,"work_id":"7ea30167-2d8f-4151-8bd1-1c6510ce52de","year":1980},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.155460Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:ed2a8efe68e8b7ec79c48d61934ce28fee83003a77ddadde17fb1f7b44632924","observation_id":"0f9eb93f-4dcb-4bf2-bd23-4e8b5b50d42a","resolution":{"observed_at":"2026-08-12T16:35:20.535906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.509054Z","title":"O(m*n) algorithms for the recognition and isomor phism problems on circular-arc graphs","venue":null,"work_id":"57ebdaab-e157-48a9-b03d-7ab54328dad7","year":1995},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.160042Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:10a824413fb8b71dd7756b0e0e58578b2533b59eb5669179254c9ce3f96684b4","observation_id":"be73d72e-b176-4a00-8d69-ba0f4246d82f","resolution":{"observed_at":"2026-08-12T16:35:20.513619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.494409Z","title":"Circle graph isomorp hism in almost linear time","venue":null,"work_id":"afc167c5-c368-49a3-8662-221e5d45da80","year":2022},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.165612Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:19977f4edac61a8d9fd0ccf2585cf91bae09fbb5f4945ff67ff9253606fab71a","observation_id":"0e02e38a-7bc2-4750-8b35-1638f610167c","resolution":{"observed_at":"2026-08-12T16:35:20.498908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.478791Z","title":"On the isomorphism problem for Helly circular-arc graphs","venue":null,"work_id":"361390ca-0a64-4969-80bc-f8d89f489c19","year":2016},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.170340Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:8ba55d048ae2d21ab78e3c4d193dcecf22e42fe184c06f73800d159818630d5b","observation_id":"67648a92-059d-4976-b2b7-be0dfafd4051","resolution":{"observed_at":"2026-08-12T16:35:20.484261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.04501","last_updated":"2019-07-12T20:16:10Z","snapshot_observed_at":"2026-07-06T07:44:54.113537Z","submitted_at":"2019-04-09T07:38:12Z","title":"Testing isomorphism of circular-arc graphs -- Hsu's approach revisited","version":3},"cited_work":{"arxiv_id":"1904.04501","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.04501","snapshot_observed_at":"2026-08-12T16:35:20.305375Z","title":"Testing isomorphism of circular-arc graphs -- Hsu's approach revisited","venue":"cs.DS","work_id":"9d3dacbf-5205-4f9d-8aab-63bcba524e5c","year":2019},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.176682Z"},"links":{"cited_paper":"/paper/1904.04501","citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:26b5651c11d0a6b8c827e5fa54f564603502c1abe3d9205b473a8e41093c0ae3","observation_id":"1d845cb4-883f-46ad-b317-e05fe7331ea8","resolution":{"observed_at":"2026-08-12T16:35:20.309807Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.13708","last_updated":"2024-11-26T17:01:59Z","snapshot_observed_at":"2026-08-12T15:56:21.015136Z","submitted_at":"2024-11-20T20:58:08Z","title":"Comments on \"$\\mathcal{O}(m\\cdot n)$ algorithms for the recognition and isomorphism problems on circular-arc graphs\"","version":2},"cited_work":{"arxiv_id":"2411.13708","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.13708","snapshot_observed_at":"2026-08-12T16:35:20.282156Z","title":"Comments on \"$\\mathcal{O}(m\\cdot n)$ algorithms for the recognition and isomorphism problems on circular-arc graphs\"","venue":"cs.DS","work_id":"3b0cbe61-28cd-4bda-b97c-e4b73af41a15","year":2024},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.181336Z"},"links":{"cited_paper":"/paper/2411.13708","citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:a47f5362da99538282a108a444a4339d4024259958a9c8c7aa05d81f96cd4fd0","observation_id":"47592894-4d8e-4e67-b05a-203115ac78a7","resolution":{"observed_at":"2026-08-12T16:35:20.289263Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.463957Z","title":"Soulignac, and Jayme Luiz Szwarcﬁter","venue":null,"work_id":"daf3b76a-2313-46cd-9a15-ca7856736165","year":2008},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.186790Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:f1fa4febfba25319b8f4db4674f8bf53621871dadac51d465d8c2b6da82dda67","observation_id":"0ea071c8-93cf-436a-8796-8b11c1712fdc","resolution":{"observed_at":"2026-08-12T16:35:20.469072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.442005Z","title":"Lueker and Kellogg S","venue":null,"work_id":"e1b26866-4ef9-4481-aaa0-10777ed4cdd2","year":1979},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.193293Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:1159f9a87970572425230812d20bed856cc0ff3744d6d185d8278cd679f45be4","observation_id":"8e456114-9073-4c02-9f0a-3d1324381321","resolution":{"observed_at":"2026-08-12T16:35:20.447783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.419485Z","title":"McConnell","venue":null,"work_id":"56766e0f-22be-4b3d-8854-fbfca5d59ad0","year":2003},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.198352Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:471cadb0559971ce40af10549d30a4f9bed14f3ef9cd03b3e126495031b79453","observation_id":"1c9ce11e-6e17-4318-b81b-61d8a122d797","resolution":{"observed_at":"2026-08-12T16:35:20.429897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.402859Z","title":"McConnell and Jeremy P","venue":null,"work_id":"37ba854e-d84e-4ce2-995a-ca76869bbcc7","year":1999},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.203356Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:e7810bb57f053bd6ef3c198ac1833e59075b4c0aff6ae2effbdc0269c238a4f1","observation_id":"f7e33b25-62f3-452f-884a-2804140237fe","resolution":{"observed_at":"2026-08-12T16:35:20.408811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.385899Z","title":"Graphes de cordes : une caract´ erisation et ses application s","venue":null,"work_id":"889bf3a6-d8a4-4615-b6a1-6a368cc19204","year":1985},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.212982Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:f4e7747848217ecff8fb94c4cc25f31657c284397d62d49731eb008a5e4e9e0f","observation_id":"f145eb5d-c319-4ab5-b24b-9e020092821e","resolution":{"observed_at":"2026-08-12T16:35:20.391133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.368383Z","title":null,"venue":null,"work_id":"b33b08ae-5585-4cff-a93e-adee76660c1b","year":1988},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.219900Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:1340c5590358916d215841e8f73c86d1b4ae66e21764f6081fc596f7a57d923f","observation_id":"82fa507b-6c0e-4b88-86fe-1546b4a098ec","resolution":{"observed_at":"2026-08-12T16:35:20.374789Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.351967Z","title":null,"venue":null,"work_id":"454a1155-3bb1-4877-a0e8-7218b13f69f8","year":1980},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.225476Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:9c2e1bd565a2f86a8fbbe327eb2f415d4367770a12352128062ce53e1528fc82","observation_id":"6cc397b7-022c-4eb0-8db6-414c9abf8bf8","resolution":{"observed_at":"2026-08-12T16:35:20.356822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.334744Z","title":null,"venue":null,"work_id":"0a446277-071c-4d68-b684-922db09f97bd","year":1983},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.231336Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:b2abe6e47b6682fd776285aa9ac5c729e5070ac528640c6b4688246b9e71650c","observation_id":"97cda4cd-7f84-4fda-b3aa-10aa26158bb1","resolution":{"observed_at":"2026-08-12T16:35:20.340349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.318660Z","title":"Enumeration of noniso- morphic interval graphs and nonisomorphic permutation graphs","venue":null,"work_id":"c6b82b65-b0a3-4622-b173-49dc13b7c414","year":2020},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.236492Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:77fe68773b6ba38bd9732eb9eab32134258c84a66483fb108e157de1cc0c2a83","observation_id":"a14eb3c3-0747-4916-a84a-47d6a7bee4e5","resolution":{"observed_at":"2026-08-12T16:35:20.323561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:35:20.585380Z","title":null,"venue":null,"work_id":"dffa752e-6f2f-454c-a13e-cb2eca4d96e9","year":null},"citing_paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited","version":2},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-12T16:35:20.139634Z"},"links":{"citing_paper":"/paper/2411.13374"},"observation_digest":"sha256:1c5a6a3f314040102b3b8c7b67866051386dee431d27cb038b237f6ea12b1709","observation_id":"863e667a-5123-4674-9b8a-0211a1ecc71e","resolution":{"observed_at":"2026-08-12T16:35:20.591582Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13374","last_updated":"2024-11-26T19:19:01Z","latest_version":2,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-12T16:27:18.993703Z","submitted_at":"2024-11-20T14:52:43Z","title":"On the structure of normalized models of circular-arc graphs -- Hsu's approach revisited"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":17},"total_outbound_references":28},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2411.13374."}