{"as_of":"2026-08-18T21:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3e8c1720fb41ec581540ffaf46a9b87eac1afadd668bc3efb2244e2168d87395","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:28:34.243755Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2507.18724/citation-record","integrity":"/paper/2507.18724/integrity","json":"/paper/2507.18724/citation-record.json","paper":"/paper/2507.18724"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:28:35.256338Z","title":"Symplectic Geom.16 (2018), no","venue":null,"work_id":"3e1143ed-6812-4c0c-bd67-5c3c56beddf3","year":2018},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:33.755528Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:29fd63cefb23a05990d9c61cf573917b4719b5f68cac3193243cb0b0df2225a9","observation_id":"42599e47-6271-4675-91f6-7799d516b925","resolution":{"observed_at":"2026-08-15T18:28:35.260275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.242973Z","title":"0, 2550071","venue":null,"work_id":"796f0258-ca88-4be9-81b4-dafd2bf715b8","year":null},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:33.855611Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:593a70365659b515d7b953dcb794b04f8ad64628cd8e0fa141f28d7f3b095d45","observation_id":"f5ec0605-4818-44f5-afce-b5aa50ab857e","resolution":{"observed_at":"2026-08-15T18:28:35.246356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.232153Z","title":null,"venue":null,"work_id":"c3028fd8-cb92-429a-82b7-4b05e9125e36","year":2024},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:33.961861Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:b3afc89d44ad526b342d223d4a5a4e01aafcf37fe81edf89980c9a91e41a6a92","observation_id":"3bc7308e-6849-4034-add7-9074f54ee5a3","resolution":{"observed_at":"2026-08-15T18:28:35.236189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.220496Z","title":null,"venue":null,"work_id":"303c94b9-4020-469a-80d0-b28d8376df12","year":null},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.046365Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:33536133b6b312c710beb80bc0f1662bd89b7010c2a5fbb0dd278e6763d539d2","observation_id":"0ab886bb-f3d8-49d0-a3ca-49487f0ce9f0","resolution":{"observed_at":"2026-08-15T18:28:35.224271Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.209241Z","title":null,"venue":null,"work_id":"06b92370-e9f1-480f-aa9a-aa9b9d2f9603","year":2021},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.051067Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:99a5fa8382c7dd8f58a16f36719db2928e71338b2b92a8fb9bf6be5172315a07","observation_id":"c6f8e83c-9618-4555-a377-86161153b8fe","resolution":{"observed_at":"2026-08-15T18:28:35.213357Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.154835Z","title":"Math.25 (2001), no","venue":null,"work_id":"14efb3f4-b952-4f10-84f3-489eebf7d301","year":2001},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.055430Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:12c7e33c1d7b636a44b7b2378fcf8e43f28ce429618cf2588fe68a823ed7ab1f","observation_id":"1de55f3b-e89c-4a38-908b-4db5083a14d8","resolution":{"observed_at":"2026-08-15T18:28:35.201568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.052660Z","title":"4, 631–691, Submitted August 18, 2020; Published January 19, 2022","venue":null,"work_id":"a184c9c3-234f-4c57-b53c-20a45c6b4651","year":2021},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.059532Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:8b8d5d1f1b43fa9da82f0810fa59bd547f6b75c671bb829a642f0ea725039c20","observation_id":"c5ba30e3-7bdd-4b85-9743-f69065b7130c","resolution":{"observed_at":"2026-08-15T18:28:35.064223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.042481Z","title":null,"venue":null,"work_id":"3d1f561f-6bb8-4166-bb43-634161a9f3ae","year":2008},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.063239Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:7790071b70f38c04015c18786bc3177a198c8b40d5cb67c9169a3e779f1653a3","observation_id":"8a3866ac-8d42-41ff-b548-1cd8a8a663d1","resolution":{"observed_at":"2026-08-15T18:28:35.045560Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.032260Z","title":null,"venue":null,"work_id":"87b2377b-7582-48c6-83c1-41a3f44472cc","year":2019},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.067058Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:cb8bdd36bf007592c80328c4c89480c9d60ee322bdfc43f2e120e1dd8fd06291","observation_id":"096671a2-2b07-4e8a-8a00-f1b17e296ca5","resolution":{"observed_at":"2026-08-15T18:28:35.035331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.021643Z","title":null,"venue":null,"work_id":"ee152988-4b27-4169-9656-f58dc97baae2","year":2000},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.071115Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:ce32fd4dcd5e1c96c1e545bd669c7b75561b62e1886e08c718cd82dd9e698dbd","observation_id":"93a29874-fa9b-4e58-b578-8d00846933e5","resolution":{"observed_at":"2026-08-15T18:28:35.024978Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.011335Z","title":null,"venue":null,"work_id":"75094000-7719-4bd0-aafb-62e69de748f0","year":2009},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.075053Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:e54815153ca150a77cc263b3175fe14601aae68636e125031e19a0f14363e6fd","observation_id":"1e84b9af-13f4-476f-ad66-eb7e744f8513","resolution":{"observed_at":"2026-08-15T18:28:35.014736Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:35.000576Z","title":null,"venue":null,"work_id":"1c78a6a9-3dac-432e-bf96-5191a084cde5","year":2010},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.078168Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:fbad5caf0f91320d790e1dd3cc727cd65484e9b43cea96f78197684a6a925440","observation_id":"1dddc66f-9e6d-464a-9ec3-b8b7a590cf55","resolution":{"observed_at":"2026-08-15T18:28:35.004276Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.989951Z","title":"Symplectic Geom.14 (2016), no","venue":null,"work_id":"d6a84afa-a290-4f66-9314-25cd052967e5","year":2016},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.082258Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:d73eb8a2c3fa49b797276b34c5ca176b7fbe8d988bd5ecc12384a7f12592cc23","observation_id":"9c1dd88b-3016-4c44-badc-78663a39135e","resolution":{"observed_at":"2026-08-15T18:28:34.993617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.979427Z","title":null,"venue":null,"work_id":"c326397d-8f28-4e94-8ff1-744d4a0b277d","year":2015},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.086054Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:9e44f875f638f4c9c7a7cd9f22dd5b0b2fc99a886cb53aa517df5404240de352","observation_id":"4e439df9-a8e4-4ac0-9e4c-8fde99a028ce","resolution":{"observed_at":"2026-08-15T18:28:34.983469Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.07997","last_updated":"2019-01-30T19:43:20Z","snapshot_observed_at":"2026-08-14T19:33:54.174699Z","submitted_at":"2018-03-21T16:31:33Z","title":"Contactomorphism groups and Legendrian flexibility","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.07997","snapshot_observed_at":"2026-08-15T18:28:34.090075Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.090075Z"},"links":{"cited_paper":"/paper/1803.07997","citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:7be7c8ed9a1cd0d03f221fa6432756b4bf877e6be61319d5b5aa43f6bfdac1ad","observation_id":"7b9fc5d0-1546-4c45-b626-9806b7d00e82","resolution":{"observed_at":"2026-08-15T18:28:34.090075Z","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":"2026-08-15T18:28:34.737881Z","title":"Topol.10 (2006), 1635–1747","venue":null,"work_id":"56fd5ea0-98e9-49c9-a515-ecc9b5774f4c","year":2006},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.094402Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:2b0b792210fe3116ebb0ab09ea2ec2b9ef9fd88140a04032b0d75bc65d71de06","observation_id":"f5d8ed27-060d-408b-b21e-5c7d326679f9","resolution":{"observed_at":"2026-08-15T18:28:34.809108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.715535Z","title":null,"venue":null,"work_id":"78158637-75c5-4e19-a9b7-0876355e9a8a","year":2000},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.098198Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:fca0a6e2cf0662ba35ad3ad044b04ee8d5ced0fb743ae5f62a9abf22eb49ff9e","observation_id":"84868976-49a9-4d0a-b82a-80252c6a255d","resolution":{"observed_at":"2026-08-15T18:28:34.719300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.704288Z","title":null,"venue":null,"work_id":"35cdb4db-6f50-45a6-8d6f-2f012a565357","year":2018},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.117274Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:d064ed0fcd517fa388e83c05e112fe274f5475acc5be6a99325824d35aa4ad93","observation_id":"968a5f9a-f93f-4329-8dac-c7f8a94f0b53","resolution":{"observed_at":"2026-08-15T18:28:34.708285Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.692537Z","title":"3-4, 771–795","venue":null,"work_id":"ba4e6218-8ab2-4ebc-ac03-a0d1d0603993","year":2014},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.155453Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:de4e0afdefda491d098e4da709a98db8fd965fc9e887fac6d7ded9bf9be97fa7","observation_id":"db0950db-e7b2-4e9b-a685-0b29396069bb","resolution":{"observed_at":"2026-08-15T18:28:34.696766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.682179Z","title":null,"venue":null,"work_id":"43ea959b-c772-4f5a-b76d-33a033dbaf68","year":2025},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.163510Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:db5133e1c0bf2fc7daaf8e9fc714999aa39bb6b8671415410abaa1640cb6b2c9","observation_id":"5d58ec82-54ab-431a-bf49-8b87997c8352","resolution":{"observed_at":"2026-08-15T18:28:34.685748Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.672156Z","title":"Hirsch, Differential topology, Graduate Texts in Mathematics, vol","venue":null,"work_id":"4e046d27-8eb2-4889-a89d-ac5b3dcf6090","year":1994},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.181838Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:91c8949778d0f708fc4d4b7fdd86509ffced08d7b94d2d12596ddea0e6bd520c","observation_id":"cc4a0355-a2ac-4ee7-8094-876b25d46b4d","resolution":{"observed_at":"2026-08-15T18:28:34.675441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.661747Z","title":"3, 373–404 (en)","venue":null,"work_id":"a52a9e6d-24b1-46b4-a332-3d91a89c8c9f","year":2008},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.196793Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:134351f3aaff2ccc07fe10ddb3351ffcdcc77cbc456d5de024c8413532196ddd","observation_id":"be6d57f0-0806-421b-9eec-30df3f2c79ee","resolution":{"observed_at":"2026-08-15T18:28:34.665424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.650545Z","title":"Lee,Introduction to Topological Manifolds, 1 ed., Graduate Texts in Mathematics, vol","venue":null,"work_id":"3f904c39-701b-4516-9f87-dc62b3c212d7","year":2000},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.202027Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:79d68001d75af559faa3766d663a01c138fa29bf50bf5794e2179bed907ef2d4","observation_id":"166aa8c9-7e8c-4f33-a262-8407aa52baba","resolution":{"observed_at":"2026-08-15T18:28:34.655069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.639463Z","title":"Sb.) 104 (1977), no","venue":null,"work_id":"f6b4f2af-d2a1-4140-a765-a2b733b47265","year":1977},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.205616Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:e8e200f4b44ebfc6f1d972b07db0de684bc6b3dc14948a9e4fed2010110a241d","observation_id":"afed62d5-b4d8-4b7e-9c36-f0154f23eac2","resolution":{"observed_at":"2026-08-15T18:28:34.643328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.10905","last_updated":"2025-04-03T13:47:53Z","snapshot_observed_at":"2026-08-16T15:14:39.141187Z","submitted_at":"2023-07-20T14:28:58Z","title":"A new metric on the contactomorphism group of orderable contact manifolds","version":3},"cited_work":{"arxiv_id":"2307.10905","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.10905","snapshot_observed_at":"2026-08-15T18:28:34.272265Z","title":"A new metric on the contactomorphism group of orderable contact manifolds","venue":"math.SG","work_id":"3b5565d3-d637-42f2-b247-72306b510a54","year":2023},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.208904Z"},"links":{"cited_paper":"/paper/2307.10905","citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:6f7500446c60a32e6311ee5e8da67aeb08cf474261744f89a7895260af9843d4","observation_id":"f3911613-3fbc-4704-8b47-5bea0bf3cdc8","resolution":{"observed_at":"2026-08-15T18:28:34.316068Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.628773Z","title":"05, 803–811","venue":null,"work_id":"2c464f58-284b-43ab-a351-37ecda175ff2","year":2003},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.212372Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:0a40fc214f9e75b1569a30fd820b70b74cd739e7ccd144937272fea9e98972ca","observation_id":"5e75eaaa-0a7c-443a-9762-7640b926411a","resolution":{"observed_at":"2026-08-15T18:28:34.632273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.566661Z","title":null,"venue":null,"work_id":"5616c93e-227e-4d6a-8a06-87df4ec763fe","year":2020},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.215455Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:34a4f3e217a82edfb04698d63cc10274646e14f08bce11a28204812b3d29aefa","observation_id":"1b6937db-0bd3-4bec-84c8-5221ffa814e4","resolution":{"observed_at":"2026-08-15T18:28:34.591499Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.493098Z","title":null,"venue":null,"work_id":"6d4c8a6d-4eab-4a3c-8750-e85ca29fedd2","year":2010},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.218920Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:86708830065144652118d34e9a1bbe33ab83af488c6df5a8908a5f1ab51f71a0","observation_id":"f8ab7d36-82f8-4b26-871a-c955389d12b8","resolution":{"observed_at":"2026-08-15T18:28:34.504143Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.481614Z","title":null,"venue":null,"work_id":"03fd15cc-2289-4106-9814-4e97b393faed","year":2011},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.222748Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:faebe6fcd8380ca3187e1af7486bafe8b4604c41a7633e93a5a3e0bff1803dfa","observation_id":"f6ebac52-9e55-4e72-b629-5372d89c0420","resolution":{"observed_at":"2026-08-15T18:28:34.485694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.468750Z","title":null,"venue":null,"work_id":"3bd5041d-f99b-476d-bfc5-e576500f111f","year":2014},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.226261Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:e0655101d7469d4f0dcf16f5dda5cdefc90bc49d29fe7ba30798611639beb639","observation_id":"205eede1-5da5-4fa1-8341-305f4a981527","resolution":{"observed_at":"2026-08-15T18:28:34.473439Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.456716Z","title":"Symplectic Geom","venue":null,"work_id":"9b3315db-b4d7-460e-82df-d6cd832c6c0e","year":2017},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.229750Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:d49d414f5a593ba261e01e41c4b91e657e066ad955908e36ebb67a0dd78410dc","observation_id":"6a37d940-ffb7-47a1-9592-e57bb3617c18","resolution":{"observed_at":"2026-08-15T18:28:34.460519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.445481Z","title":null,"venue":null,"work_id":"2db806af-a89e-45c0-85f2-5b5f448fa8f4","year":2024},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.233233Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:ebaf75129a9d565b015dac77647a125757eef7bcbbdf4ed4507d14a253d4838d","observation_id":"749e2944-e801-46a9-a50e-bea2008cbf6b","resolution":{"observed_at":"2026-08-15T18:28:34.449330Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.432897Z","title":null,"venue":null,"work_id":"727b5a41-b839-46ae-bb6a-dac847345662","year":2008},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.236720Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:84b62a1b4ab0a71a2af20c216381b5d9701296256928b08a66198d7a3d8dadf7","observation_id":"8e3c2b13-71ca-4dcf-b428-dca7d1984d26","resolution":{"observed_at":"2026-08-15T18:28:34.437044Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.420282Z","title":null,"venue":null,"work_id":"e6fd5313-4034-4338-8aa5-e47290f18151","year":2024},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.240670Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:e59d7a0020dcd65f2437742ce10de44658a71e549009d389b2ef70b650bd9271","observation_id":"e2c35972-3439-4afe-bcdf-490389a566af","resolution":{"observed_at":"2026-08-15T18:28:34.424480Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:28:34.392164Z","title":null,"venue":null,"work_id":"ac833a58-3cbe-4c9b-81c2-3f7ae7ffe4a8","year":2013},"citing_paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T18:28:34.243755Z"},"links":{"citing_paper":"/paper/2507.18724"},"observation_digest":"sha256:62e130fe2f752ba44473d9dffb3a37935eefe2b3237c639d7a80919ef0efd491","observation_id":"d3f07344-9db1-40a3-8511-52e0e6f06c72","resolution":{"observed_at":"2026-08-15T18:28:34.411956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.18724","last_updated":"2025-07-24T18:13:26Z","latest_version":1,"primary_category":"math.SG","snapshot_observed_at":"2026-08-17T10:52:37.214915Z","submitted_at":"2025-07-24T18:13:26Z","title":"Invariant distances on spaces of Legendrians"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":35},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.18724."}