{"as_of":"2026-08-13T17:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a35edc2e31b98f118a2032d2ea24cf82201b0a26eba90f95d430b25e0ab14b1d","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T05:04:07.205787Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-04T10:02:40.628752Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.05802","snapshot_observed_at":"2026-08-04T10:02:40.628752Z","title":"Huang and Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.12673","last_updated":"2026-06-01T17:16:00Z","snapshot_observed_at":"2026-08-07T19:00:32.722584Z","submitted_at":"2025-10-14T16:08:47Z","title":"Local mollification of metrics with small curvature concentration","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:40.628752Z"},"links":{"cited_paper":"/paper/2509.05802","citing_paper":"/paper/2510.12673"},"observation_digest":"sha256:f87e5d345a6f6cb4942ba2a37c925d0dad37966de7a33e088cd3027f13ce4e01","observation_id":"923abce5-e8ee-479b-82d6-3beb5a42a138","resolution":{"observed_at":"2026-08-04T10:02:40.628752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.05802/citation-record","integrity":"/paper/2509.05802/integrity","json":"/paper/2509.05802/citation-record.json","paper":"/paper/2509.05802"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T05:04:07.107335Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.107335Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:67e524ea483a2e0008e53a51649a60d24873ca3752823788469d292825851061","observation_id":"f5ea3095-1041-4394-95b3-1e839c8da28f","resolution":{"observed_at":"2026-08-05T05:04:07.107335Z","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":"2026-08-05T05:04:07.569459Z","title":null,"venue":null,"work_id":"58519444-e2fa-42cf-84ae-5fee1a20e6cd","year":2009},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.112227Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:97ca77afd07aa213177dd70033f1eeaae882010c71b6182e241ce452f96bc025","observation_id":"7ddbd902-d0b5-483d-970e-acd2b8c796d1","resolution":{"observed_at":"2026-08-05T05:04:07.573824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.554975Z","title":"PDE10(2024), no","venue":null,"work_id":"bc59f52e-506a-482a-9864-288c57de5816","year":2024},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.116686Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:ab71c471e55d4c13eb69f2cdd7cf9e2d1aa48c043958302c20ff4feb8860a299","observation_id":"b0cace5c-e48e-4e66-b13a-5c255ba2eaf1","resolution":{"observed_at":"2026-08-05T05:04:07.559260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.02564","last_updated":"2026-06-29T22:26:03Z","snapshot_observed_at":"2026-08-13T09:29:44.595836Z","submitted_at":"2024-03-05T00:39:34Z","title":"Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature","version":2},"cited_work":{"arxiv_id":"2403.02564","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.02564","snapshot_observed_at":"2026-08-05T05:04:07.294450Z","title":"Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature","venue":"math.DG","work_id":"278555ef-d522-4075-be25-adb8d71f720d","year":2024},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.120934Z"},"links":{"cited_paper":"/paper/2403.02564","citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:eae7c6668716a936f7223e8f5e83f6280cdb5b79dd424815da44b96f782a7645","observation_id":"7a1dda74-0f01-48dc-8ab3-457689d4a2f2","resolution":{"observed_at":"2026-08-05T05:04:07.301481Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.540078Z","title":"Differential Geom.73(2006), no","venue":null,"work_id":"4ec3f219-6f1f-49ab-b431-1e8d8795b07b","year":2006},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.125564Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:7b30dcfcb76c0aba61643f2ef4e262a91a3853ef034e24f8c996db164a0d252c","observation_id":"20260f23-edb7-4046-a4ed-0c627f5acef7","resolution":{"observed_at":"2026-08-05T05:04:07.544501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.523760Z","title":"Colding,On the structure of spaces with Ricci curvature bounded below","venue":null,"work_id":"63c5e58f-6203-4b2f-9bbb-fdcb650f7bb1","year":1997},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.129900Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:a8f22cc1da09e60506fe0c3084306b1dcd787bb10b32b0057bd6abad2eea925b","observation_id":"b3d66318-df13-4033-bc54-180406b40e3e","resolution":{"observed_at":"2026-08-05T05:04:07.529179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.507075Z","title":"Differential Geometry17(1982), no","venue":null,"work_id":"e94ddffc-829c-4f92-86ba-2159e92d5fb4","year":1982},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.135099Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:288e689421658a44c2856c2a24bd2c72b8efbd5c1bf89dd6a8147ac080cd6bb2","observation_id":"5fb76455-c670-4e0b-85c9-3836c303034a","resolution":{"observed_at":"2026-08-05T05:04:07.512207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.491843Z","title":"Differential Geom.67(2004), no","venue":null,"work_id":"4b4adbeb-23cc-4dfe-bed5-ca5e6a920c72","year":2004},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.139478Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:4eed86cc62335e5bd3f078db3a1fe2da72aa35a857da8fb230f8c5f699ded408","observation_id":"bf983edf-5c3c-498a-9d21-363c17f0e9ab","resolution":{"observed_at":"2026-08-05T05:04:07.496102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.477625Z","title":null,"venue":null,"work_id":"0dc8f6a2-4fc4-4a2f-94a0-a65a87cf2478","year":2013},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.144294Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:304041aced8a66a8ac23d242a1a11cb587269038f850e9a255c39f6a813b387a","observation_id":"d526dcf3-a344-45cd-bdde-c41de728aedd","resolution":{"observed_at":"2026-08-05T05:04:07.481732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.463685Z","title":"Ann.327(2003), no","venue":null,"work_id":"4e4e133c-b5c4-46f7-94d8-52a1667c5967","year":2003},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.148625Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:f5811391668340604d9daa3bab0ec06a7c60b88a5a26100018112cb1446dd8b0","observation_id":"e66b397f-e0af-46c5-8af0-af262c0927a8","resolution":{"observed_at":"2026-08-05T05:04:07.467724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.05107","last_updated":"2022-03-10T01:47:33Z","snapshot_observed_at":"2026-08-13T16:25:51.645342Z","submitted_at":"2022-03-10T01:47:33Z","title":"Ricci Flow and Gromov Almost Flat Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.05107","snapshot_observed_at":"2026-08-05T05:04:07.152851Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.152851Z"},"links":{"cited_paper":"/paper/2203.05107","citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:e3d631bd624bacf09f41243703707980c0007084d45d02114815ef961c8db9c7","observation_id":"5fc8eed2-cff6-4ed3-806b-a70f72ac9af3","resolution":{"observed_at":"2026-08-05T05:04:07.152851Z","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":"2026-08-05T05:04:07.449433Z","title":"Hamilton,Three-manifolds with positive Ricci curvature, J","venue":null,"work_id":"71e5c612-1da5-44da-b11d-57ce2fd58861","year":1982},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.157164Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:15a90c946d17f948a2fb1f5c07d0bc6a2ab5b3d11935729c9c6af94e323e8ec2","observation_id":"5890b1c8-6482-4e48-b228-edf4421421f2","resolution":{"observed_at":"2026-08-05T05:04:07.453866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.161685Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.161685Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:a17f454f8d1ac64d5336a89031f8fd78d0d9b74b33c116cad734c8b106887a5b","observation_id":"8cb492c1-c75b-45d0-8621-5b04aff7ce90","resolution":{"observed_at":"2026-08-05T05:04:07.161685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T05:04:07.165781Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.165781Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:2ccc6b41dc1510a10140562257c5ca2ca0ba166fe0d524cb22a6eeb30689a633","observation_id":"47724518-c315-495b-bdda-3e645f6a6dbf","resolution":{"observed_at":"2026-08-05T05:04:07.165781Z","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":"2026-08-05T05:04:07.412387Z","title":"Differential Geom.115(2020), no","venue":null,"work_id":"7f5d90ee-f18a-4e1f-80a0-0ade5b461333","year":2020},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.169615Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:eddfc52c6b1f42463eb457331363769e89a7cbb770c0f63b65398fefe07bb05a","observation_id":"8249063e-2a7a-4216-b271-d9019ae27151","resolution":{"observed_at":"2026-08-05T05:04:07.416401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.398133Z","title":"Math.193(2013), no","venue":null,"work_id":"49ef4f84-8d95-47d1-af14-6b3b7c8e9162","year":2013},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.173657Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:d217481d10ec50391a3d70c6252b6615461f38713eab3778fe5526605c2a83c2","observation_id":"586955d4-1fa1-4145-aac9-8a20f1ddf654","resolution":{"observed_at":"2026-08-05T05:04:07.402730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.383776Z","title":null,"venue":null,"work_id":"3f44d795-f911-4302-9fc2-9628bec676d9","year":2025},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.177416Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:0f94172c9cda9d0a14a495143b32dd2385a814a18dadd84bb0c6fe6716f9d1cc","observation_id":"5d8e8f40-ed76-41c7-8073-b001e46a90d7","resolution":{"observed_at":"2026-08-05T05:04:07.387976Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.368836Z","title":null,"venue":null,"work_id":"d1ef3402-2de5-477f-8dd8-ced25e3b3357","year":2025},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.181319Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:04d5bffd8fc835fd9fc3026dd1f3986ace707decc13a6390bdae13e58421ed50","observation_id":"1566beb3-24a7-479c-b4b7-80c1e5fbaada","resolution":{"observed_at":"2026-08-05T05:04:07.373319Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.354897Z","title":null,"venue":null,"work_id":"e104cc47-465f-4593-956b-f8ac2cccda73","year":2004},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.185454Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:ee10f22371bef3fb7980da192897452ab1dfa8d5a233450de16f37ae4746f2da","observation_id":"7890394b-bd51-44d1-b0a4-afe9d8f0f771","resolution":{"observed_at":"2026-08-05T05:04:07.358859Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.189437Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.189437Z"},"links":{"cited_paper":"/paper/math/0211159","citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:445e4473f4605372199f8ba9000e74af3f1f8cfd01833a0a5dac592093f90df4","observation_id":"eb51f95a-259e-4d7c-83da-297e5057ab01","resolution":{"observed_at":"2026-08-05T05:04:07.189437Z","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":"2026-08-05T05:04:07.341281Z","title":"MR 2638857","venue":null,"work_id":"0657b25e-6d8d-49ff-a855-52642a613e97","year":1990},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.193903Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:74f850f722f6d3f9898495d269e5918f8f7db385d29ab09021e8ac65111e1230","observation_id":"b69a55bf-0031-4a6b-a784-3fa8621dd6e1","resolution":{"observed_at":"2026-08-05T05:04:07.345178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.326747Z","title":"Topping,Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces, Geom","venue":null,"work_id":"20ebb479-5c84-4057-b857-efc5f026381a","year":2021},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.197982Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:6efdf74e9f957e192a0e607f54968c55780c79462a4c157dbc8da8404541c7a4","observation_id":"4bfa1638-2603-4dda-a938-749fed2251a3","resolution":{"observed_at":"2026-08-05T05:04:07.331380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T05:04:07.313114Z","title":"Differential Geom","venue":null,"work_id":"599343b6-c6dd-4608-8a87-d203303e95ae","year":2022},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.201860Z"},"links":{"citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:ea52df263aeb9160db088d5a385ee68ed7998510f717654feed1acb27a6780cc","observation_id":"f04ac65f-18f9-4c9c-b421-3fe4af2375b5","resolution":{"observed_at":"2026-08-05T05:04:07.317256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.09981","last_updated":"2020-10-20T03:01:14Z","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.09981","snapshot_observed_at":"2026-08-05T05:04:07.205787Z","title":"(Shaochuang Huang)College of Science, Sun Yat-sen University, Shenzhen, Guangdong, China","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.205787Z"},"links":{"cited_paper":"/paper/2010.09981","citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:6a75a1e0841a31a6f798b08df4109a31eeaf7dfd9dbf53fbb3bb91e3a0ce6d2d","observation_id":"091b196c-4573-4ae9-87d1-a8b7a575572b","resolution":{"observed_at":"2026-08-05T05:04:07.205787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":24},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2509.05802."}