{"as_of":"2026-08-08T05:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:735cb61af192251b6cfca349d4fed6c61d6e24ec4d413a7a61269aa7a726c127","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:35:57.925198Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T16:20:31.623760Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T16:20:32.602845Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"cited_work":{"arxiv_id":"2505.21823","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.21823","snapshot_observed_at":"2026-08-05T16:20:32.602845Z","title":"Discrete snakes with globally centered displacements","venue":"math.PR","work_id":"7c596231-93b5-4f08-a581-e260cecabcb6","year":2025},"citing_paper":{"arxiv_id":"2508.18792","last_updated":"2025-08-26T08:18:15Z","snapshot_observed_at":"2026-08-07T21:14:42.502830Z","submitted_at":"2025-08-26T08:18:15Z","title":"Random punctured hyperbolic surfaces & the Brownian sphere","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T16:20:31.623760Z"},"links":{"cited_paper":"/paper/2505.21823","citing_paper":"/paper/2508.18792"},"observation_digest":"sha256:f62e9e728e8259788f3ada096fe94cbb5558ec144742bf75841f43ba5628565b","observation_id":"c3db62ba-55d0-4c6b-882a-52262e8033e5","resolution":{"observed_at":"2026-08-05T16:20:32.609087Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.21823/citation-record","integrity":"/paper/2505.21823/integrity","json":"/paper/2505.21823/citation-record.json","paper":"/paper/2505.21823"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/16-aop1124","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:01.524398Z","title":"and A LBENQUE , M","venue":null,"work_id":"3486a219-4436-415d-aaa1-85377d0c0482","year":2017},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.072393Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:9c2c26c7a93b8d6bbf0763fa2651dd6c02d5db65c5fef569b4722b2c6019ea8e","observation_id":"1a63abd5-104f-4156-8ea7-0f7a01ef9d60","resolution":{"observed_at":"2026-08-07T13:36:01.643849Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5802/ahl.84","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:01.303274Z","title":"and A LBENQUE , M","venue":null,"work_id":"b87a9d05-e092-4074-b4b6-b86cc88d8c3f","year":2021},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.173239Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:f85d074745519a3b305f0dcc19cdbb945519b6e6ef8814ed019753c5296b3b63","observation_id":"6b3a478b-625c-4a5e-9b09-10efd286b80e","resolution":{"observed_at":"2026-08-07T13:36:01.407694Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5802/ahl.231","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:01.072966Z","title":"and K ORTCHEMSKI , I","venue":null,"work_id":"fde21294-8202-4701-9e27-696ef65ac92a","year":2025},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.272872Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:54574f8d877556943a3bf05cb5168ed24a2cf5df027a6a99a9ef598906220670","observation_id":"2788e4ee-d13a-4f32-9d2a-3f7872b45f79","resolution":{"observed_at":"2026-08-07T13:36:01.191429Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:40:15.013216Z","title":null,"venue":null,"work_id":"f0e4f091-7279-4399-8ec8-4cde79a9a1f6","year":1993},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.350163Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:4e134b99fb8ed291114aa4c3af8578845b81e435579d868f55c27016572c2c3b","observation_id":"beb51e94-e6b2-4537-93df-ad86a6c05a52","resolution":{"observed_at":"2026-08-07T13:40:15.054747Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:40:14.869549Z","title":"and P ITMAN , J","venue":null,"work_id":"6c6793ae-7024-4037-8703-5d419d4a20cd","year":2002},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.443847Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:5830b6d2256c3869991f1799a59e0536afad1d030e6e32200b15456f8f937c14","observation_id":"42973043-feef-4189-bd73-7e41aded0258","resolution":{"observed_at":"2026-08-07T13:40:14.938296Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:36:03.969102Z","title":null,"venue":null,"work_id":"9a5bd653-2aae-4327-8add-4a187368f385","year":1999},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.550230Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:1415a60a867f4d1024640d0e60abe598af0f8cf17f75d39c121c4f059019ec80","observation_id":"2637c1f8-8f4c-45c3-bd7b-370020d32f85","resolution":{"observed_at":"2026-08-07T13:40:14.801779Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/rsa.20463","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:00.812715Z","title":"and M ARCKERT , J.-F","venue":null,"work_id":"26819bb1-4726-4559-81bb-75f237a8df1b","year":2014},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.660626Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:894ed5f298d44b0da5679d7cd52c1f5762ba13996cc73151531e3bc9ca6844c7","observation_id":"e37c5e87-645e-4a92-85a5-ac9879a21ca2","resolution":{"observed_at":"2026-08-07T13:36:01.010184Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00440-003-0297-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:00.566454Z","title":"and S CHAEFFER , G","venue":null,"work_id":"8b60885b-6b30-4b22-a051-d52e62196080","year":2004},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.837497Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:e2e04b4e9a9f9faabcfbc73af98dabc8addccfa2c1fb71ccd30b0909255ee0c0","observation_id":"1761d93d-c2b5-41b1-9f28-487a1de019ee","resolution":{"observed_at":"2026-08-07T13:36:00.679672Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:54.952638Z","title":"and K ORTCHEMSKI , I","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:54.952638Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:1c8b2f1ef5a26f8563f7fd8a2b0a8360d6006cca0c9246990a3e728479ef16fd","observation_id":"d75e7d81-0f10-4208-a100-af19d42c60d8","resolution":{"observed_at":"2026-08-07T13:35:54.952638Z","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":"2026-08-07T13:36:03.768594Z","title":"and R EBEI , F","venue":null,"work_id":"5b85ae96-6d2c-475a-af99-d987e5eab21f","year":2025},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.040323Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:6d6c12d435d2d89ea1698ff406bb361351be14f104a0b85a6e33d8cab2dab256","observation_id":"53e7ffd5-9f41-4801-a46b-779b79f9a6bd","resolution":{"observed_at":"2026-08-07T13:36:03.863313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:55.132031Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.132031Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:b9f55dabdccdaae056b9a3a454be1fbb48dd783fdec57feef29bd6070b0b91d2","observation_id":"9680524a-c65a-4525-b33b-35ef8f8881f3","resolution":{"observed_at":"2026-08-07T13:35:55.132031Z","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":"2026-08-07T13:36:03.567256Z","title":"and LE GALL , J.-F","venue":null,"work_id":"27db3b6a-b8c2-4eaa-a593-ec39b19c8e57","year":2002},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.255056Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:c59b67e0f84d99dadeebef2bf668be438678d21dd6352991048cd60fa44f7e78","observation_id":"93073319-cbfc-4580-8d1a-a6990cf1f137","resolution":{"observed_at":"2026-08-07T13:36:03.661470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2006.91251","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:02.409757Z","title":"State spaces of the snake and its tour—convergence of the discrete snake","venue":null,"work_id":"5cfb67fb-0501-4cdd-9a11-98b3ef0bcb74","year":2003},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.409085Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:b74f9cdf146677a8667205d9e4e707aa7a8bd2ca7ae7db376be0625a941c1626","observation_id":"53e52c8b-416c-47ff-a7a5-eeef3728fb38","resolution":{"observed_at":"2026-08-07T13:36:02.482464Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:36:03.354160Z","title":"and M IERMONT , G","venue":null,"work_id":"62fc7552-72d3-47ce-a3a9-f398e640ff42","year":2012},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.502869Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:e61bedebe542118c3be55c96c2d7a3f92a6d2fc9fe947ca2bae48e8f57198fc7","observation_id":"e2e61f1c-b184-4313-85c6-bc3c09490625","resolution":{"observed_at":"2026-08-07T13:36:03.432506Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00453-006-0099-3","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:00.369093Z","title":null,"venue":null,"work_id":"f121c89b-aa8f-44cd-b0e5-7a76159f6602","year":2006},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.613890Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:fabc651bf09a35dd27a609260e0271f44ef8e09dd6c8293a6a95f14cd486e53b","observation_id":"53c3a0f1-fcf1-4ca4-9fb5-6f6c530b60fc","resolution":{"observed_at":"2026-08-07T13:36:00.480180Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1108.3924","last_updated":"2011-08-19T09:14:52Z","snapshot_observed_at":"2026-07-06T02:32:39.313164Z","submitted_at":"2011-08-19T09:14:52Z","title":"Probability asymptotics: notes on notation","version":1},"cited_work":{"arxiv_id":"1108.3924","doi":null,"metadata_source":"pith","pith_arxiv_id":"1108.3924","snapshot_observed_at":"2026-08-07T13:36:02.152250Z","title":"Probability asymptotics: notes on notation","venue":"math.PR","work_id":"ec3c03bd-f969-4413-8f1b-f3f844af806e","year":2011},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.747228Z"},"links":{"cited_paper":"/paper/1108.3924","citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:3e4dca36ae6548fcf4ab56da546a42a0bfc48346d2304832ff6791c9ea02b6a9","observation_id":"fa243a73-0b5b-4f4b-b52b-413b2f2ed440","resolution":{"observed_at":"2026-08-07T13:36:02.238883Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:55.845628Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.845628Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:82a288962e2978fbc01c40ee578c45a075dda62c853c0f0da020bd37bb89b623","observation_id":"9b953722-b8b8-4f6f-9f08-e2b7ba3bb15d","resolution":{"observed_at":"2026-08-07T13:35:55.845628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10959-005-7252-9","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:00.173501Z","title":"and MARCKERT , J.-F","venue":null,"work_id":"218d34f8-cef2-4941-99d3-f99f13376368","year":2005},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.913998Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:802b525c55f14001984b08d1daecf76208baf78bd74cb339ffd506fd106929e5","observation_id":"1de40f21-0bb2-4303-aaa1-a8a146de5f8c","resolution":{"observed_at":"2026-08-07T13:36:00.280308Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:55.980440Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:55.980440Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:f805230aa69402f1b8381be4e1da89c4054fc72cc2654a0b49ac7d0740598c6f","observation_id":"fa376398-48be-4bec-88a5-587669524866","resolution":{"observed_at":"2026-08-07T13:35:55.980440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.11528","last_updated":"2025-09-08T23:09:50Z","snapshot_observed_at":"2026-07-31T00:11:48.225988Z","submitted_at":"2022-08-24T13:20:54Z","title":"Convergences of looptrees coded by excursions","version":2},"cited_work":{"arxiv_id":"2208.11528","doi":"10.48550/arxiv.2208.11528","metadata_source":"pith","pith_arxiv_id":"2208.11528","snapshot_observed_at":"2026-08-07T18:16:16.850658Z","title":"Convergences of looptrees coded by excursions","venue":"math.PR","work_id":"bd9e13e9-f2fd-4eda-a051-9d6104304541","year":2022},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.073784Z"},"links":{"cited_paper":"/paper/2208.11528","citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:6756f72a518ba43001eae99253aa82e49131caa6b140233c281ee792ade9f8b6","observation_id":"579d1899-e90e-49cb-902a-158128f249a7","resolution":{"observed_at":"2026-08-07T13:36:00.063664Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.04098","last_updated":"2025-07-13T16:21:10Z","snapshot_observed_at":"2026-08-02T17:31:59.425664Z","submitted_at":"2024-02-06T15:53:31Z","title":"Random L\\'evy Looptrees and L\\'evy Maps","version":3},"cited_work":{"arxiv_id":"2402.04098","doi":"10.48550/arxiv.2402.04098","metadata_source":"pith","pith_arxiv_id":"2402.04098","snapshot_observed_at":"2026-08-07T18:16:16.850658Z","title":"Random L\\'evy Looptrees and L\\'evy Maps","venue":"math.PR","work_id":"7a4d8e7b-9975-449d-982a-0fbd140845df","year":2024},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.169579Z"},"links":{"cited_paper":"/paper/2402.04098","citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:b28aa5eab487b7875fbf3b0f2843821c7c30d847461334be29d742876f427110","observation_id":"5a76c6f2-8a3c-4d1e-adcb-9049190fae45","resolution":{"observed_at":"2026-08-07T13:35:59.874814Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5802/afst.1636","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:59.442374Z","title":"and R ICHIER , L","venue":null,"work_id":"e4962c3a-60bb-4625-ada7-996191dc62cf","year":2020},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.252193Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:c6df652aefa4b22a5956ef40d4ac0beecdb3d403729f6508dbbe49f30cac92af","observation_id":"25ba71a5-1e2b-412f-a0b4-1559b9ee3dc8","resolution":{"observed_at":"2026-08-07T13:35:59.583008Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01197336","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:59.184662Z","title":null,"venue":null,"work_id":"3a8e57a0-2589-4917-bab8-8ed0278b30d4","year":1993},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.356888Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:c7c4d38c470d03e23e5f0bf8faf4cd718897523c70edda46ea31edc11ba2979a","observation_id":"a919b4b1-f162-461c-9040-60a88a2360d9","resolution":{"observed_at":"2026-08-07T13:35:59.277852Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01192468","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:59.035023Z","title":null,"venue":null,"work_id":"f62cdffe-cfca-4c1c-b9cd-cc9dfe4d57a4","year":1995},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.434739Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:80e4c2864cdacac629bb3dbe98666008249e04434d801f472c3e53944e8f5817","observation_id":"ccee9f0c-5fc7-4a9f-9731-0609633ffd6a","resolution":{"observed_at":"2026-08-07T13:35:59.111192Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:36:03.091716Z","title":null,"venue":null,"work_id":"9f4697dc-2653-43be-bd80-cef4cd78f35f","year":2005},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.526029Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:2d37cf704121e7a6ccad0fb8052ebd7b08a749c73a9f3cebdf71a0bb5dbfeb76","observation_id":"1436439c-8d9b-44fe-be61-90c8c0404ab0","resolution":{"observed_at":"2026-08-07T13:36:03.255267Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:56.615192Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.615192Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:990a8a5266ab8f7ee6505a26b41911a150f8f93a2b02ffbde6e72f2c612fdabd","observation_id":"734a34f5-5a1d-4530-8e1a-fe2e2dfb9048","resolution":{"observed_at":"2026-08-07T13:35:56.615192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3150/18-bej1058","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:58.841783Z","title":null,"venue":null,"work_id":"767162d9-c94c-423b-9582-ce8a9012b9c4","year":2019},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.711404Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:9e4698ef6e322f38ec21b92f99fbcaf9f3c44809c7686758159c47f2cc6601bb","observation_id":"94f7e6d3-b12f-4b42-9290-165be1b93e51","resolution":{"observed_at":"2026-08-07T13:35:58.914287Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/rsa.10111","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:58.743185Z","title":null,"venue":null,"work_id":"bc11f0ff-30fb-4890-8c08-47049e9e8f28","year":2004},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.832674Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:f2e6449128862bea0a19614a01eaef0f9cb08ea87f69dbf7c35bb403f395cc6b","observation_id":"492e490e-305b-4d90-a6e3-bb8268109335","resolution":{"observed_at":"2026-08-07T13:35:58.769541Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/07-aap450","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:58.617613Z","title":null,"venue":null,"work_id":"0b723c42-e6cc-4888-8e81-948dd1664d5d","year":2008},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:56.892916Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:99b2cd9c5db16c5d2e4c613c069fd62915a2ccfe73dffb6b42e4b630fb0d12b0","observation_id":"f7de9f06-cfa6-4f79-8d94-e04e5b29cfec","resolution":{"observed_at":"2026-08-07T13:35:58.651405Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:57.018062Z","title":"and M IERMONT , G","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.018062Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:fac13c76d60983f96a63e7f10adf18fc34abec8054dd0d08241315f2a5503b80","observation_id":"851f77dd-eaaa-4ea1-a481-0fd46f795de6","resolution":{"observed_at":"2026-08-07T13:35:57.018062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/b:jotp.0000012004","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:58.313021Z","title":"and M OKKADEM , A","venue":null,"work_id":"e6600f5a-628c-46ed-ac81-b471ee19d782","year":2003},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.168398Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:a8f5143ab7aa19fdfc31f4c597e0194e14bdbf0b29eb3e6a7f5f1fe76d6404b1","observation_id":"e7c4d62c-0abc-4d13-85ad-e2dc30885558","resolution":{"observed_at":"2026-08-07T13:35:58.454157Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:57.337540Z","title":"and M OKKADEM , A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.337540Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:10999d88946f50b8f77f81bf7036320a03486bb646e2c4a90199d9336df4fe2a","observation_id":"3923a948-4c77-422f-a880-9879f6aadbcd","resolution":{"observed_at":"2026-08-07T13:35:57.337540Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/19-aihp970","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:58.111483Z","title":null,"venue":null,"work_id":"73e57a16-a135-430d-8049-f6124b5f7b0e","year":2020},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.494740Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:88e0a75dde381c08edf6e3593db2b68c8a1b7c75b47107a356ff9952bb270d14","observation_id":"3f8530d1-77f7-4295-9787-de00ecff4f20","resolution":{"observed_at":"2026-08-07T13:35:58.180553Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:35:57.622826Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.622826Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:7242bd6b16bb25d813e423afcc9493e618219ef5743b2dcde15ba4774152de84","observation_id":"511f33bf-9732-4107-9ecc-bef31d90f290","resolution":{"observed_at":"2026-08-07T13:35:57.622826Z","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":"2026-08-07T13:36:02.937905Z","title":null,"venue":null,"work_id":"cfaaa81d-edde-466a-9053-a503970661d1","year":1975},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.686065Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:4e92afe1a1645cf1a3217774ae4234a3b28a86c27ed05b47c4a0386c0034eaa4","observation_id":"d384fb18-dc12-4b77-b725-1ea830608f26","resolution":{"observed_at":"2026-08-07T13:36:03.020149Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"lnms/1215091","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:36:01.917641Z","title":null,"venue":null,"work_id":"abb9adb8-8a2a-482f-b565-69edb7abf251","year":2003},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.782940Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:7c73fb0a8a0437bb07f2d83c69f8fe73c5a1720324934b732f01d81389dd7b2b","observation_id":"cbf0e674-48de-4975-82ff-e04b895a60ce","resolution":{"observed_at":"2026-08-07T13:36:02.002309Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:36:02.736934Z","title":null,"venue":null,"work_id":"350076d8-54f0-43fc-8835-4e18c6036f00","year":2006},"citing_paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T13:35:57.925198Z"},"links":{"citing_paper":"/paper/2505.21823"},"observation_digest":"sha256:00b396cde5241e5a5f65ab8f84749cbc82648139dc20ced00a8305fe9ed5ad35","observation_id":"27059e39-f390-4fc7-8185-8224f13fc83b","resolution":{"observed_at":"2026-08-07T13:36:02.870950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.21823","last_updated":"2025-07-16T20:31:34Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T13:20:18.861526Z","submitted_at":"2025-05-27T23:21:19Z","title":"Discrete snakes with globally centered displacements"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":20,"verified_fuzzy":3},"total_outbound_references":37},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2505.21823."}