{"as_of":"2026-08-16T17:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:717ad94ca285900447f805acfda380f8443f572d2f19b462742e5408651279b9","coverage":[{"denominator":69,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":69,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:44:24.741904Z","state":"measured"},{"denominator":72,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":72,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T15:29:24.205378Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T03:07:35.494298Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"cited_work":{"arxiv_id":"2505.12276","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.12276","snapshot_observed_at":"2026-07-03T03:07:35.494298Z","title":"Community detection of hypergraphs by ricci flow","venue":null,"work_id":"b994f120-072b-4fae-b3e8-f866e12fec11","year":2025},"citing_paper":{"arxiv_id":"2603.10479","last_updated":"2026-04-19T12:37:48Z","snapshot_observed_at":"2026-08-16T05:23:06.576639Z","submitted_at":"2026-03-11T07:07:52Z","title":"The Ricci flow with prescribed curvature on graphs","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-15T13:27:23.144014Z"},"links":{"cited_paper":"/paper/2505.12276","citing_paper":"/paper/2603.10479"},"observation_digest":"sha256:c4d7f934e4da9d2c5316cdf9a58589af5279c176bcaee45b5a8d888e7b8983a0","observation_id":"5893b5d2-d4f3-4da8-b146-57fce1450cc7","resolution":{"observed_at":"2026-05-15T13:30:01.738798Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"cited_work":{"arxiv_id":"2505.12276","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.12276","snapshot_observed_at":"2026-07-03T03:07:35.494298Z","title":"Community detection of hypergraphs by ricci flow","venue":null,"work_id":"b994f120-072b-4fae-b3e8-f866e12fec11","year":2025},"citing_paper":{"arxiv_id":"2604.02632","last_updated":"2026-04-03T01:55:03Z","snapshot_observed_at":"2026-07-06T22:51:57.889822Z","submitted_at":"2026-04-03T01:55:03Z","title":"The Calabi flow with prescribed curvature on finite graphs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-13T18:51:46.358463Z"},"links":{"cited_paper":"/paper/2505.12276","citing_paper":"/paper/2604.02632"},"observation_digest":"sha256:4e384abe4c9175a2e5298ba8676d760d61055283d82b7674d1587c6d9dda1e67","observation_id":"397b114c-71d2-46ce-9bf7-1f9887681fe0","resolution":{"observed_at":"2026-05-13T18:53:08.294180Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"cited_work":{"arxiv_id":"2505.12276","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.12276","snapshot_observed_at":"2026-07-03T03:07:35.494298Z","title":"Community detection of hypergraphs by ricci flow","venue":null,"work_id":"b994f120-072b-4fae-b3e8-f866e12fec11","year":2025},"citing_paper":{"arxiv_id":"2606.09017","last_updated":"2026-06-08T04:28:11Z","snapshot_observed_at":"2026-08-07T03:24:19.060410Z","submitted_at":"2026-06-08T04:28:11Z","title":"The Ollivier Ricci flow with prescribed curvature on infinite graphs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-27T15:29:24.205378Z"},"links":{"cited_paper":"/paper/2505.12276","citing_paper":"/paper/2606.09017"},"observation_digest":"sha256:7ed4c659646682244cf5f10576f6457a8136f260960510a7463bc15c8d25f1b5","observation_id":"5ff56800-ce67-46e0-8520-54b49ceecbab","resolution":{"observed_at":"2026-07-03T03:07:35.496259Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.12276/citation-record","integrity":"/paper/2505.12276/integrity","json":"/paper/2505.12276/citation-record.json","paper":"/paper/2505.12276"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:44:26.891191Z","title":"Hypergraph laplace op erators for chemical reaction networks,","venue":null,"work_id":"91702d54-4867-4334-9c6c-43e643d7bf11","year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.003709Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:e6a8d5f3cfd1c7ca8a6cec9de0a8f7503f7645dcde068585b9b98e2379696f93","observation_id":"a4dc3c33-4b59-4ed1-b10c-8e45378011f7","resolution":{"observed_at":"2026-08-15T20:44:26.901468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.873136Z","title":"Self- supervised multi-channel hypergraph convolutional netwo rk for social recommendation,","venue":null,"work_id":"b46922e2-a3b8-430d-952c-7488fadecab0","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.015137Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:b9404809627acba2896ddd46e4f44fdb5ed6fa290a6635ed46dec72b9d9516fa","observation_id":"ba2d181e-8437-40aa-853e-d19cd6559c24","resolution":{"observed_at":"2026-08-15T20:44:26.878472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.854722Z","title":"Self-supervised learning for recom- mender systems: A survey,","venue":null,"work_id":"624015e9-f248-4fd1-af10-648d1382f5d4","year":2023},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.025881Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:8adee57c3f74b0960a285a53a1f171982795849b5502adb6b39c0f1fee86cea2","observation_id":"4cf6a8da-18e4-4d12-8136-886eb346c90e","resolution":{"observed_at":"2026-08-15T20:44:26.860787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.830831Z","title":"Ricci curvature of markov chains on metr ic spaces,","venue":null,"work_id":"42f84392-7fb5-40e5-b1b7-459029127417","year":2009},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.035432Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:055e0f9e31ff2fcd95526a629b38f276ea9e2ac77eacdd085a38a5bdf89e560b","observation_id":"02dd6c4b-4843-428e-8dfa-f226dfc62906","resolution":{"observed_at":"2026-08-15T20:44:26.838258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.803643Z","title":"Ricci curvature and eigenvalue estimate on locally finite graphs,","venue":null,"work_id":"f55ce59d-0ce6-46d2-84da-7de6e7f96fba","year":2010},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.044253Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:e974a5901836afee8f2e316621756e5bf3bc7c1aec44dc67f2a9778c73071c7d","observation_id":"50db068f-309d-4533-82e4-afc978cfef0a","resolution":{"observed_at":"2026-08-15T20:44:26.812446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.772945Z","title":"Ricci curvatu re of graphs,","venue":null,"work_id":"9db5882f-56f0-45f4-8035-4101c809bc0d","year":2011},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.053672Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:888582d2e809a5a6b76137046e20a7e41feec75fcfe3e3575370e60fa661ffc2","observation_id":"b3bbbdb2-32b1-49bc-8eb1-c304056aa6d7","resolution":{"observed_at":"2026-08-15T20:44:26.779470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.739954Z","title":"On the sum of ricci-curvatures for weighted graphs,","venue":null,"work_id":"dfc1337b-134a-404e-8e5b-26b69b98609d","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.065752Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:71b1fd7ea4ca3ecd5627c90e82edd426e2e5ebe78d883d3eaea740bfe52aa24e","observation_id":"13eb8284-b9de-4135-b122-86bc1340a191","resolution":{"observed_at":"2026-08-15T20:44:26.749123Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.708123Z","title":"Ollivier–ri cci curvature and the spectrum of the normalized graph laplace operator,","venue":null,"work_id":"983421cc-7f7b-453f-86b4-ad3f4c4ae8b2","year":2012},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.074391Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:f37dbf041b828d55a3c79736e175b68bf753bc6a81adea1e19b6513c75692a76","observation_id":"aa0de5e5-ffb5-4961-ad16-615bd6389d8b","resolution":{"observed_at":"2026-08-15T20:44:26.718716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.677742Z","title":"V olume gr owth, curvature, and buser-type inequalities in graphs,","venue":null,"work_id":"89e7da35-9a35-4b00-bdd3-b68d0a53da71","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.089422Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:d2869e384222415403a3f9dd0d0dd9398b8631ad1b397afdbf3129f95cf68453","observation_id":"4bc57820-6804-41ac-8b3e-446880fa081d","resolution":{"observed_at":"2026-08-15T20:44:26.690279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.649572Z","title":"Discrete curva ture on graphs from the effective resistance,","venue":null,"work_id":"610ec871-180a-4fc2-a519-c79b77e6da96","year":2022},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.096898Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:bbb8109f610c88fb7198ce563365aefa10bcd3d6386846856f22a8938ad0f521","observation_id":"98588857-cdd1-44e8-96bd-43331fe1094c","resolution":{"observed_at":"2026-08-15T20:44:26.657208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.621658Z","title":"Ollivier’s ricci curvatu re, local clustering and curvature-dimension inequalitie s on graphs,","venue":null,"work_id":"80c2f974-f4ff-454c-862f-d17ee8beb513","year":2014},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.106978Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:faa4e8e4de9f076aa6956f1d2742db123d724ab1b35cf82ff285474bc52b974e","observation_id":"f4c1aa7e-ef02-40fc-a688-1d98fbccd7ca","resolution":{"observed_at":"2026-08-15T20:44:26.630059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.594428Z","title":"Ollivi er ricci curvature for general graph laplacians: heat equation, laplacian comparison, non-explosion and diamet er bounds,","venue":null,"work_id":"6b65d3e3-5d29-429f-81cb-241798329d02","year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.117246Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:ec394b75ff94e7912ce89ce2a28a155b081fb952ba4507a04c1fe6e048c340ff","observation_id":"e7e7d1ed-080c-4d19-960e-9007e2f19fa5","resolution":{"observed_at":"2026-08-15T20:44:26.604556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.557307Z","title":"The ricci curvature on directed graphs,","venue":null,"work_id":"9081ffd4-b823-4140-b7fe-1e5e1a0bb61f","year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.125504Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:422c51213e28855804464cc37abd8a6efbcb3c3bd45b4e6f7b24fc0035677e04","observation_id":"2686e0f5-84ef-4720-a9a7-f8f0e057c75c","resolution":{"observed_at":"2026-08-15T20:44:26.567540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.532278Z","title":"Geo metric and spectral properties of directed graphs under a lower ricci curvature bound,","venue":null,"work_id":"88f63cbb-716f-418b-942c-6397ba3a36bf","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.134882Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:c4922b8e7844cc28228fb5f86cb235668a424f239bc29abd3517edfb1312e80b","observation_id":"3be47e30-4fc0-4873-9953-82e64afd97d9","resolution":{"observed_at":"2026-08-15T20:44:26.539618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.507120Z","title":"Ollivier ricci curvatur e of directed hypergraphs,","venue":null,"work_id":"7bd8adee-4cd0-45d2-a1ea-ae81052760fb","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.141379Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:560725abab907a7bf7715f3fd62efbfce68189ebdcc72031c3192e3393aaddd1","observation_id":"5f9078cb-84a7-4afc-b2d6-895b514f06f5","resolution":{"observed_at":"2026-08-15T20:44:26.514802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.485392Z","title":"Edge-based analysis of net- works: curvatures of graphs and hypergraphs,","venue":null,"work_id":"cc40934b-679d-4a31-bf1e-e2edcba50b4c","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.150125Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:b51d3eb32ff46ca656768337362437a60a5ffc8641d4168c051176c230e25573","observation_id":"80fca732-9077-4648-8c0e-88fb1ddd0b31","resolution":{"observed_at":"2026-08-15T20:44:26.492862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.454944Z","title":"Forman–ricci curvature for hypergraphs,","venue":null,"work_id":"074201e0-0483-405e-85a4-898e9a3d8195","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.158652Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:cea77c6b70b8722caafe780bfb4bb7066478e4f89e55dfea06473983c8b07f39","observation_id":"0f0f373e-22af-4183-bd4f-ba8f24148221","resolution":{"observed_at":"2026-08-15T20:44:26.463471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.428048Z","title":"Ricci curv ature of random and empirical directed hypernetworks,","venue":null,"work_id":"58a3eb46-d69c-4cf8-bbb4-56c0774ee9ca","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.165472Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:438ebb3bf3d12e5614c0455132f2745d152bc085de7f5e603b6f82f9ced8f47c","observation_id":"7a828220-81b4-4d77-9aea-ff36fe6878af","resolution":{"observed_at":"2026-08-15T20:44:26.437630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12048","last_updated":"2023-04-06T16:54:48Z","snapshot_observed_at":"2026-08-16T16:22:11.483330Z","submitted_at":"2022-10-21T15:40:49Z","title":"Ollivier-Ricci Curvature for Hypergraphs: A Unified Framework","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12048","snapshot_observed_at":"2026-08-15T20:44:24.176577Z","title":"Ollivier-ricci curvature for hypergraphs: A unified framework,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.176577Z"},"links":{"cited_paper":"/paper/2210.12048","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:12dafd4c052b51ff07c5fd90a37b4b57fc2f5d356806426579d3c91e528afd12","observation_id":"48542f98-57fe-42bd-ae0e-422d12d62273","resolution":{"observed_at":"2026-08-15T20:44:24.176577Z","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":"2026-08-15T20:44:26.401703Z","title":"Three-manifolds with positive ri cci curvature,","venue":null,"work_id":"1acfce8f-81a0-4086-91de-a274663b61c4","year":1982},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.187888Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:d6eb78c76b849410af8d6e4b5fd78d6d95bf98cf47b6dff6a5e8fc9212d430af","observation_id":"8bfc320e-9618-4945-8f4e-a88bd5d67b4d","resolution":{"observed_at":"2026-08-15T20:44:26.408450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0211159","last_updated":"2002-11-11T16:11:49Z","snapshot_observed_at":"2026-07-07T05:32:21.443158Z","submitted_at":"2002-11-11T16:11:49Z","title":"The entropy formula for the Ricci flow and its geometric applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0211159","snapshot_observed_at":"2026-08-15T20:44:24.211635Z","title":"The entropy formula for the ricci flow and its geometric applications,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.211635Z"},"links":{"cited_paper":"/paper/math/0211159","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:00421a15d9b2a59a1c7ccba42f7b85d36012ee07b52cbe3699919e686bc582bd","observation_id":"25ba761b-4cb7-42c9-b522-c96f9aaabb83","resolution":{"observed_at":"2026-08-15T20:44:24.211635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0307245","last_updated":"2003-07-17T15:26:38Z","snapshot_observed_at":"2026-07-07T05:35:59.786340Z","submitted_at":"2003-07-17T15:26:38Z","title":"Finite extinction time for the solutions to the Ricci flow on certain three-manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0307245","snapshot_observed_at":"2026-08-15T20:44:24.221202Z","title":"Finite extinction time for the solut ions to the ricci flow on certain three-manifolds,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.221202Z"},"links":{"cited_paper":"/paper/math/0307245","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:7e2f1da74d6b881eb2239e0c4d0491da45252df682e255f655b5d504fe29873c","observation_id":"c3bb4736-b5f9-482b-a4ac-62396cb30c3b","resolution":{"observed_at":"2026-08-15T20:44:24.221202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0303109","last_updated":"2003-03-10T16:44:35Z","snapshot_observed_at":"2026-07-07T05:34:01.844436Z","submitted_at":"2003-03-10T16:44:35Z","title":"Ricci flow with surgery on three-manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0303109","snapshot_observed_at":"2026-08-15T20:44:24.230626Z","title":"Ricci flow with surgery on three-mani folds,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.230626Z"},"links":{"cited_paper":"/paper/math/0303109","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:e09650cbcce41286700e656f8e3e1139592931c6ad45964596d4b5f83fe8d7d0","observation_id":"75817bb9-edcd-4bdf-9c44-81fbb3293e61","resolution":{"observed_at":"2026-08-15T20:44:24.230626Z","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":"2026-08-15T20:44:26.365441Z","title":"Discret e surface ricci flow,","venue":null,"work_id":"06701690-b6b3-4641-b230-4049aa6a2df7","year":2008},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.243557Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:39909e8c0cfda2915a0fee39308a0fd2e436b2b454bc4824ac5adb65a1f5206d","observation_id":"cf2400f8-c69b-4676-aa83-7a0556841f8e","resolution":{"observed_at":"2026-08-15T20:44:26.373302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.341448Z","title":"Greedy routing with guaranteed delivery using ricci flows,","venue":null,"work_id":"627cbf88-86a2-434d-a919-b0b53414210e","year":2009},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.255187Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:560ee47ee5a165eb529263173f940e88c158a5bcdb6ca2d66d38a50b744df218","observation_id":"9092d266-9486-4443-93bd-b1dda4705c8d","resolution":{"observed_at":"2026-08-15T20:44:26.348821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.317271Z","title":"Feature-aware reconstruction of trimmed splines using ricci flow with metric optimization,","venue":null,"work_id":"9d7dec29-91a2-46f2-92d4-1bdbf1bb0437","year":2022},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.275115Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:3c8e56682abc4a7d600b1bc4384ce0008a986516fabb93b85cd910d403ac03e7","observation_id":"c579b945-856d-41e3-ac76-b5396fd0af0e","resolution":{"observed_at":"2026-08-15T20:44:26.327565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.294686Z","title":"The four dimensions of social network analysis: An overview of r esearch methods, applications, and software tools,","venue":null,"work_id":"6c510904-6c62-4015-add0-753395f71681","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.283427Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:0bc99c0136a8ce7b3aa6fc261eabf037777ea61f15124c7c6d32f313a90d8b05","observation_id":"8b6c1368-d4fb-421a-9318-7381f2fc54be","resolution":{"observed_at":"2026-08-15T20:44:26.301314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.274126Z","title":"Community detection in graphs,","venue":null,"work_id":"f1048f6f-20d5-4fd1-b5d0-89e74db0d273","year":2010},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.291034Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:5056e1862dd399abcb4094e6f7d392c376334ab94ecd598c87ddbbad7e13c901","observation_id":"8f634a32-b727-4866-82e8-d0cd1a4ac2f2","resolution":{"observed_at":"2026-08-15T20:44:26.280515Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.252157Z","title":"A survey of community search over big graphs,","venue":null,"work_id":"5de30209-794f-40b8-ae98-61971b334cf8","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.308684Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:c691ffde165cd12342bfec304a45bf91bd97bc25bb0e9b932a41e6ceb86a66b2","observation_id":"9bb68273-4863-4b23-88e2-aee20e2fc3ef","resolution":{"observed_at":"2026-08-15T20:44:26.258513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.218943Z","title":"Empi rical comparison of algorithms for network community detection,","venue":null,"work_id":"0082adf5-cee4-4217-ad76-0456b9f0bf3a","year":2010},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.330521Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:99af068a5652bdb0bb17085c63534efe91d2813657ac5d672e83e6171b32bd9c","observation_id":"57cdbe2c-80ef-4f8c-985c-c7d2bfbe98b5","resolution":{"observed_at":"2026-08-15T20:44:26.227153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.188613Z","title":"Community-diversified influence maximization in social networks,","venue":null,"work_id":"0b740226-3529-4486-8d05-1f3a5703b69a","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.343410Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:bd33a10699033dfdc811d32132dc0a0130ef07aedec53aaf02b3a8cafcad4b91","observation_id":"5c85f12d-c93e-4e0a-9d0e-11c30e765e3f","resolution":{"observed_at":"2026-08-15T20:44:26.199072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.167786Z","title":"Community discover y in dynamic networks: a survey,","venue":null,"work_id":"eb99a430-e70e-4deb-9a14-f7d459d6c5d7","year":2018},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.352993Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:0712f87f7cd01612b3cdeca51750d3732cb816f3527dad5b5a11e02146dbb13f","observation_id":"5f2ed453-775a-440d-ab35-3fc1687c7f2a","resolution":{"observed_at":"2026-08-15T20:44:26.174782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.148505Z","title":"A comprehensive survey on community detection with deep l earning,","venue":null,"work_id":"df850c0e-28ca-40ab-8404-df26dc5bd7f0","year":2022},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.362306Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:7f3b4cbd073c7c6cb5e33b6351cac3c0e7390e4cdaf54823c503a56467e74eb6","observation_id":"78d645cb-2a69-4e3c-a19f-1e5a6359c6bb","resolution":{"observed_at":"2026-08-15T20:44:26.154079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.129534Z","title":"Commun ity detection on networks with ricci flow,","venue":null,"work_id":"1fbb0aa7-239a-43f9-8a97-df9224837a5c","year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.377896Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:4a188c8dcfaf883ccd3199312ea62d73a90978e85241204bb8dacbe8d880af90","observation_id":"e35705c1-2e7f-4f44-96b4-986e69bffdcb","resolution":{"observed_at":"2026-08-15T20:44:26.136286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.099706Z","title":"Olliv ier-ricci curvature-based method to community detection in complex networks,","venue":null,"work_id":"0058c104-79ac-40bc-a833-0c92472fd88b","year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.388251Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:c369ec9c273296b783211305a1a082203e51bd0e89ffe4be7f2f55ca015790b5","observation_id":"daf21640-32bb-4aec-b41c-5e9ac3c3311f","resolution":{"observed_at":"2026-08-15T20:44:26.106973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.078430Z","title":"Normalized discre te ricci flow used in community detection,","venue":null,"work_id":"cffe7c7b-89f4-48d3-8984-41eab40473bd","year":2022},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.397865Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:f963d8fd33bcdaf1b9e039d1770c26d4314af33cd77b712af816b179c2457470","observation_id":"c08c4930-db22-4b4c-959c-7ca6d12586c4","resolution":{"observed_at":"2026-08-15T20:44:26.085348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.056187Z","title":"Ollivier ricci-flow on weighted graphs,","venue":null,"work_id":"ff973e6a-88f1-47f0-ba8d-e376375d241e","year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.413408Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:f7b6c511a3915c08f9d479d96844c058715d5fb7a2d3d8a7b4b223f182be5eb4","observation_id":"ee618229-16d3-425a-aad6-7ad506620a5a","resolution":{"observed_at":"2026-08-15T20:44:26.062405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.032077Z","title":"Bakry–émery curvature sharpness and curvature flow in finit e weighted graphs: implementation,","venue":null,"work_id":"3ce74519-4b12-4cd2-a82c-16038a7abb6c","year":2023},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.425726Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:ffa0efb5abcc4fa32b0619e88232e061d3820f8378262c977f69ba38067ad83d","observation_id":"60045302-7f76-4b84-8f4c-4913d14a4846","resolution":{"observed_at":"2026-08-15T20:44:26.038316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:26.002923Z","title":"Bakry-émery curvature sharpness and curvature flow in finite weighted graphs: theory,","venue":null,"work_id":"6c23c675-a135-475e-bf95-c05c0db1c5a7","year":2025},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.433842Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:e7e84df5347d7f8bd91dfabcf3f797edd5192d5c0b3ce255e85d271b8f68ad5c","observation_id":"b8b83bbe-bbbf-4a80-8893-17a240d3f942","resolution":{"observed_at":"2026-08-15T20:44:26.011009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07475","last_updated":"2024-02-12T08:28:19Z","snapshot_observed_at":"2026-08-16T14:19:25.460624Z","submitted_at":"2024-02-12T08:28:19Z","title":"A version of Bakry-\\'Emery Ricci flow on a finite graph","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07475","snapshot_observed_at":"2026-08-15T20:44:24.443444Z","title":"A version of bakry-Éme ry ricci flow on a finite graph,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.443444Z"},"links":{"cited_paper":"/paper/2402.07475","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:cf2376092722956ce80f9cf51e8a188e853c843131b953dc91726bf1a78f212c","observation_id":"b146ded7-7810-4565-bcb9-cc83a503f0c1","resolution":{"observed_at":"2026-08-15T20:44:24.443444Z","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":"2026-08-15T20:44:25.978679Z","title":"Community de tection in hypergraphs: Optimal statistical limit and efficient algorithms,","venue":null,"work_id":"a0dd9fc1-e581-4f69-b7c4-c02864924057","year":2018},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.454521Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:627289c2b7ae451f5d48273eca830137d3427198ea00e2fdaf7302bb154109a1","observation_id":"e36d6466-743a-4fbb-aa5f-1add3813c35f","resolution":{"observed_at":"2026-08-15T20:44:25.988238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.06503","last_updated":"2020-01-02T17:53:29Z","snapshot_observed_at":"2026-08-15T02:58:33.575003Z","submitted_at":"2019-09-14T01:50:19Z","title":"Community Detection for Hypergraph Networks via Regularized Tensor Power Iteration","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.06503","snapshot_observed_at":"2026-08-15T20:44:24.462213Z","title":"Community detec tion for hypergraph networks via regularized tensor power iteration,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.462213Z"},"links":{"cited_paper":"/paper/1909.06503","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:4fe4254a9fac61e9b5b76bb65722eca2a0ce59352b580a6847cbc405e558be8f","observation_id":"9dc5b8f1-cf94-4c6d-8a4f-430bd54e1d8f","resolution":{"observed_at":"2026-08-15T20:44:24.462213Z","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":"2026-08-15T20:44:25.955648Z","title":"Random walks and community detection in hyper- graphs,","venue":null,"work_id":"7a666e3c-a4d7-4144-bbd9-c3cc4166ae30","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.478126Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:81ad5aceb46b0a86229a2213be7c61512a3bff17710d9089e0a749a910915720","observation_id":"1e70702a-fc99-43f8-b6ed-4dfe75d88662","resolution":{"observed_at":"2026-08-15T20:44:25.962229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.927609Z","title":"Community detection in large hypergraphs,","venue":null,"work_id":"d1264847-3444-4d53-8bbc-9e40c31190ab","year":2023},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.484333Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:2a067d1f7e63951f72bd6fa82e7ae47c88c8cebc12724994f4dbe535f4628235","observation_id":"524d3ace-123f-4c01-8280-344daf669220","resolution":{"observed_at":"2026-08-15T20:44:25.936982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.904843Z","title":"Co mmunity detection in hypergraphs via mutual information maximization,","venue":null,"work_id":"9d4f356b-49db-4251-ac28-03c87fb9888b","year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.491968Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a9703f0945befcd04370b1891b568c53d3a620f52282f17ff71c99b20f3b3ec1","observation_id":"287dc2b9-5551-452e-b8f9-92bdee30def9","resolution":{"observed_at":"2026-08-15T20:44:25.914051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2412.15695","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:44:25.131456Z","title":"Hypergraph clustering using ricci curvature: an edge transport perspective,","venue":null,"work_id":"0f92512e-60f8-4ef2-b3f7-e7ebc63f4372","year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.502376Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:89feb1c69c28e685f236b2f4207c4893254eadc629334e6b117a79eaf4b4a0a6","observation_id":"8a3bdaab-faa0-46ab-842c-e08cc611608f","resolution":{"observed_at":"2026-08-15T20:44:25.159316Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.09435","last_updated":"2025-09-03T05:47:44Z","snapshot_observed_at":"2026-08-16T13:25:45.176427Z","submitted_at":"2024-08-18T10:43:21Z","title":"A modified Ricci flow on arbitrary weighted graph","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.09435","snapshot_observed_at":"2026-08-15T20:44:24.510086Z","title":"A modified ricci flow on arbit rary weighted graph,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.510086Z"},"links":{"cited_paper":"/paper/2408.09435","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:94c3d4353469183abd9c8d7bf47285126ef35d7d4e5ab04a7391ffe9b5f9e247","observation_id":"2507a92c-ae6b-43ce-98d8-5e926e61d3fd","resolution":{"observed_at":"2026-08-15T20:44:24.510086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06393","last_updated":"2025-04-29T11:45:17Z","snapshot_observed_at":"2026-08-16T13:01:27.337794Z","submitted_at":"2024-11-10T08:48:19Z","title":"Evolution of weights on a connected finite graph","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06393","snapshot_observed_at":"2026-08-15T20:44:24.517355Z","title":"Evolution of weights on a co nnected finite graph,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.517355Z"},"links":{"cited_paper":"/paper/2411.06393","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a079120cbbad0cda45c852968dfa117ad1b324008468a8e9c55c42108a951e01","observation_id":"b0a2e050-b09f-4d51-b68c-e0dc922d707e","resolution":{"observed_at":"2026-08-15T20:44:24.517355Z","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":"2026-08-15T20:44:25.882592Z","title":"Ollivier-ricci idleness func- tions of graphs,","venue":null,"work_id":"2ed071a4-573f-4dbc-9cf8-dd871749463a","year":2018},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.528224Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:27148197054e2bf5065a43d01a94eb5411e39053b35cdbc8192794be20df6da3","observation_id":"c0b68624-698c-4c65-b7bb-e1c7a62beed2","resolution":{"observed_at":"2026-08-15T20:44:25.889848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.864089Z","title":"58 (American Mathematical Soc., 2021)","venue":null,"work_id":"a9ba970b-0661-4d28-8748-784de1c13f94","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.538176Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:5a75290d7881f25be46dfbd07fbd92028600c6cd10352a38bd01c272816cd921","observation_id":"184d2683-6a61-42aa-b48e-7113562088a2","resolution":{"observed_at":"2026-08-15T20:44:25.869924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.846683Z","title":"Efficient monte carlo and greedy heur istic for the inference of stochastic block models,","venue":null,"work_id":"6086fa5b-d20d-4ecd-89d5-d090291b7804","year":2014},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.546528Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a491a4345226dd3a599a884e60aa2dd4afb62e7d0aef06342cbd462b16382a50","observation_id":"1a032344-e9a0-4ab2-900e-933768585d35","resolution":{"observed_at":"2026-08-15T20:44:25.852468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.823283Z","title":"Fast unfolding of commu- nities in large networks,","venue":null,"work_id":"6dc42be9-051e-482a-8ad5-a59874c60810","year":2008},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.555768Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:55f94a0e3aa10e6a7a38a0cc23e6e0d318fa43a9abe72b426c80f723efe3d740","observation_id":"6f7a8a46-31f5-4354-bb30-e191e210b361","resolution":{"observed_at":"2026-08-15T20:44:25.830159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.795115Z","title":"Community structu re in social and biological networks,","venue":null,"work_id":"206e841f-1d97-4cfe-af3c-f3bd849a3009","year":2002},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.569664Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:515d6600e32657497cf04eb6093facb1cb5e7c3cd4dc7d5623fbd6b15b4f046d","observation_id":"a48b441f-e5ad-4714-a9da-377c72913db6","resolution":{"observed_at":"2026-08-15T20:44:25.810069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.768256Z","title":"Community detect ion via semi-synchronous label propagation algorithms,","venue":null,"work_id":"c18a4c3c-5335-4831-86be-cc2ce14c48a0","year":2010},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.575417Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:55b7f0497286807ee0049d711d53a0b6e10584278e524284cc9f751b605491ba","observation_id":"2638f13a-a3bb-48a2-a259-6f0d13654250","resolution":{"observed_at":"2026-08-15T20:44:25.776992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.741704Z","title":"Maps of random wal ks on complex networks reveal community structure,","venue":null,"work_id":"2a47b9e0-0921-4165-b920-952614af0dc0","year":2008},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.584171Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:f9c4792b2b110ead439b7ad67d8f1d58d897e4b4757c98b563e558b2b3623ff1","observation_id":"43b94680-a5be-4d2b-8bbf-b7b7cd7fa994","resolution":{"observed_at":"2026-08-15T20:44:25.754386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.718453Z","title":"Computing communiti es in large networks using random walks,","venue":null,"work_id":"253cc916-b9ac-4825-aefb-c855f244b179","year":2005},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.591205Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:c4979e4a8fddbae40e04438916d8b4f81a35d581fd540de9d8fc9283cdd6f3de","observation_id":"5f670097-7a0b-4a0f-a679-18964fe0b6ed","resolution":{"observed_at":"2026-08-15T20:44:25.726105Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.695027Z","title":"I’m me, we’re us, and i’m us : Tri-directional contrastive learning on hypergraphs,","venue":null,"work_id":"3d38b760-e1ec-413f-99cd-24e928421979","year":2023},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.602891Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:7aa3f1a4da701738f631e4a95ec0ab629e4275c5b834bd1e397eecccc0897fc9","observation_id":"013070f1-a913-4bf8-b544-f8f19e4bda36","resolution":{"observed_at":"2026-08-15T20:44:25.702092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.661954Z","title":"Uci machine learning repository,","venue":null,"work_id":"84686672-3df4-4ae9-b9b8-44f142577028","year":2017},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.610240Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:50be6399b1701ffc8c63de990b6589a87be55904475ea33e61e072dbb67ee19d","observation_id":"024a4d52-7171-4d43-ad17-fb389bef42b4","resolution":{"observed_at":"2026-08-15T20:44:25.669535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.631565Z","title":"Collective classification in network data,","venue":null,"work_id":"002d022f-4dd2-4a40-9369-d0ade1cae268","year":2008},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.627167Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a8c9260be6f836e9730f919d9de825f4a82114f779596df439c18de85d6cdac5","observation_id":"7c47d473-b219-4895-8692-643dd7061ecd","resolution":{"observed_at":"2026-08-15T20:44:25.644268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.598446Z","title":"The network data reposit ory with interactive graph analytics and visualization,","venue":null,"work_id":"3497c1f1-7cae-4219-af8b-36ed2acdbc9c","year":2015},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.640888Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:c9adb0fbb75c897a76925383888d81a328f393c1dc5cf9add1fa89e2512e4a25","observation_id":"8de8835f-bd39-41d2-ad10-dd53f0e3d9d0","resolution":{"observed_at":"2026-08-15T20:44:25.604919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.571402Z","title":"On visual similarity based 3d model retrieval,","venue":null,"work_id":"d2336867-8ddf-4d87-a273-9a0ec0545e7b","year":2003},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.648809Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:24f8026ce80ea682eb19fe55ef2086a9b8dc8671bf16f976d695b6ffa17a4ce6","observation_id":"ab0bf4c6-a219-46a5-a034-54309cad5e9c","resolution":{"observed_at":"2026-08-15T20:44:25.577793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.548130Z","title":"node2vec: Scalable f eature learning for networks,","venue":null,"work_id":"0e8bf280-cbc1-4698-8d7c-9bf626ad43d8","year":2016},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.655210Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:fb854f1e7b4558596ca321320de6769b87281db87d89f8f7d1d80bbe2384bcae","observation_id":"f448f671-e021-42c9-a1f0-247dc87b518f","resolution":{"observed_at":"2026-08-15T20:44:25.556016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1809.10341","last_updated":"2018-12-21T15:44:59Z","snapshot_observed_at":"2026-08-14T18:22:57.330140Z","submitted_at":"2018-09-27T04:53:24Z","title":"Deep Graph Infomax","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.10341","snapshot_observed_at":"2026-08-15T20:44:24.661826Z","title":"Deep graph infomax,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.661826Z"},"links":{"cited_paper":"/paper/1809.10341","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a01f34211d469d5cc19dea38dd5bc0e17cb9dd93cc9ea3d0bd1072f39222420f","observation_id":"2e84353d-cad7-4e43-a1a6-91bd03556852","resolution":{"observed_at":"2026-08-15T20:44:24.661826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.04131","last_updated":"2020-07-13T16:32:20Z","snapshot_observed_at":"2026-08-09T07:13:23.894027Z","submitted_at":"2020-06-07T11:50:45Z","title":"Deep Graph Contrastive Representation Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.04131","snapshot_observed_at":"2026-08-15T20:44:24.685540Z","title":"Deep graph contrastive representation learning,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.685540Z"},"links":{"cited_paper":"/paper/2006.04131","citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:6a610f14b1400b3e14c2ea07f0f3ce84804034a2601980fe34db91acbb8d9af3","observation_id":"d1713f41-48f7-4148-8166-e93bfdb5c67d","resolution":{"observed_at":"2026-08-15T20:44:24.685540Z","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":"2026-08-15T20:44:25.522035Z","title":"Double-scale self-supervised hypergraph learning for group recommendation,","venue":null,"work_id":"98e3bddb-387f-4c84-aac2-345c282db59e","year":2021},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.694816Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:4d032c8f8bac83364d0db505c881cde601fc64e91abac2f2b506153c2abcafbc","observation_id":"05f16742-f9ab-458d-97f2-61477b9036a8","resolution":{"observed_at":"2026-08-15T20:44:25.529696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.491637Z","title":"Community dete ction algorithm using hypergraph modularity,","venue":null,"work_id":"ba6314f3-3edf-44f2-8bc1-13ecb6ccbc50","year":2020},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.703324Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:94822b13accb7a085c27d5f411b2d02d1069fbd6359e8aa11c7d0eb5b6ef3ff7","observation_id":"5dba6f35-166d-4f83-87d5-db000c232957","resolution":{"observed_at":"2026-08-15T20:44:25.504692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.465074Z","title":"Robust data clustering,","venue":null,"work_id":"f7fcf584-44c6-4acb-8d8a-c5cd023f826f","year":2003},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.719627Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:d373892935d63017a9086a8792af193c7948a9cfe6c07a1ead1f0717fb88ee40","observation_id":"6deec057-b3e8-4e93-a831-9df091a7dd52","resolution":{"observed_at":"2026-08-15T20:44:25.473665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.427616Z","title":"Finding and evalua ting community structure in networks,","venue":null,"work_id":"b6680bcb-7d34-4f9e-b74d-57079f28e2f7","year":2004},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.729648Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:3b0cf5da9583510bfd6f7305a9bc95c8d0d8e22a2481990afdf0dd117db4aa7c","observation_id":"779f0416-0d0b-48d5-ad08-6384655b7766","resolution":{"observed_at":"2026-08-15T20:44:25.439198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:44:25.388345Z","title":"Community detection algorithms: a comparative analysis,","venue":null,"work_id":"90399250-1d88-45bf-9f36-6719f508bf90","year":2009},"citing_paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T20:44:24.741904Z"},"links":{"citing_paper":"/paper/2505.12276"},"observation_digest":"sha256:a6eccf30ee36828595b61ea7d20839595b2b6d2dc6072aea2e870057c5f2a46f","observation_id":"d2606329-9d0b-427c-a1b6-70fbe65e23f8","resolution":{"observed_at":"2026-08-15T20:44:25.397810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.12276","last_updated":"2025-05-18T07:28:10Z","latest_version":1,"primary_category":"cs.SI","snapshot_observed_at":"2026-08-15T20:34:50.983855Z","submitted_at":"2025-05-18T07:28:10Z","title":"Community detection of hypergraphs by Ricci flow"},"reference_resolution":{"displayed":69,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":58},"total_outbound_references":69},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 3 inbound Pith citation observations for arXiv:2505.12276."}