{"as_of":"2026-08-11T19:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b12db9698234f476f3ead0565f615905a5c55ec0311fb4de188f5a361a153c51","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T04:16:30.084836Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.13742/citation-record","integrity":"/paper/2607.13742/integrity","json":"/paper/2607.13742/citation-record.json","paper":"/paper/2607.13742"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T04:16:27.548159Z","title":", title =","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:27.548159Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:d7383ce3e75a6846468972b7f42319f0698ce1809cbbf0e7b14533a06125af32","observation_id":"b6aa78f8-1f64-450b-9be7-509559f62744","resolution":{"observed_at":"2026-08-02T04:16:27.548159Z","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":"2026-08-02T04:16:27.663895Z","title":", title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:27.663895Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:02c345d788381cd53619484d994b88d46f879008348ddb0161974cd8e8cf7bb1","observation_id":"6167c33a-9154-47e6-a033-b97ac27bcbdf","resolution":{"observed_at":"2026-08-02T04:16:27.663895Z","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":"2026-08-02T04:16:27.813149Z","title":"1998 , doi =","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:27.813149Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:d548417348c846f921dc72f79d29341f599073174da850b529ea43b4dd79fb56","observation_id":"9658e5ff-c5e8-42f8-8668-5eefac9b6b42","resolution":{"observed_at":"2026-08-02T04:16:27.813149Z","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":"2026-08-02T04:16:27.920084Z","title":"Journal of the European Mathematical Society , volume =","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:27.920084Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:dd3908a9471adda9db3e136e7ef75127aef85f18bea7b83b458f1d036ac0f964","observation_id":"9dc99d24-6049-4348-9043-182782c3d338","resolution":{"observed_at":"2026-08-02T04:16:27.920084Z","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":"2026-08-02T04:16:28.017382Z","title":"Advances in Mathematics , volume =","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.017382Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:ed5e67d13a514e0e373d9872098207b4f7d317bf556e5e58ee223ad015e6707d","observation_id":"bd4017a6-6258-48c5-8fa6-3f29fd2b415f","resolution":{"observed_at":"2026-08-02T04:16:28.017382Z","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":"2026-08-02T04:16:28.121415Z","title":"2025 , eprint =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.121415Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:4b48efffa7a2ea3494d37aed00deb993af2228b3315f4d712e1280016dcaacb7","observation_id":"6a283878-d042-4324-972c-8eae503bba03","resolution":{"observed_at":"2026-08-02T04:16:28.121415Z","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":"2026-08-02T04:16:28.210517Z","title":"Advances in Mathematics , volume =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.210517Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:0bbf65286a8b721a31b21be04c43c40707940bb7604281e5a0fabceab59da1d3","observation_id":"bf7b977d-4891-44f4-bae9-3e3d374d06b0","resolution":{"observed_at":"2026-08-02T04:16:28.210517Z","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":"2026-08-02T04:16:28.280657Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.280657Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:7cfc05f5a67803a5516f8abc5594f7a822a4e6102d7f8449d2e80fa86c18fe43","observation_id":"0a60dd62-8601-49cd-a352-992b6b5ec65f","resolution":{"observed_at":"2026-08-02T04:16:28.280657Z","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":"2026-08-02T04:16:28.352640Z","title":"Robin , title =","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.352640Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:ec367d85930ac93a06382e13c0d8c81881762cbea501f163a9efe0c902c25fc7","observation_id":"2f4e92e5-b88a-4920-989e-50857acb2487","resolution":{"observed_at":"2026-08-02T04:16:28.352640Z","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":"2026-08-02T04:16:28.430965Z","title":"Robin and Lee, John M","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.430965Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:066756b27fa3b8cbd71c1a8f9680f1c2ab0a6e2bb179ab5d026fc85adb6ae586","observation_id":"86dcf871-e464-446f-bdbd-25f823633352","resolution":{"observed_at":"2026-08-02T04:16:28.430965Z","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":"2026-08-02T04:16:28.554990Z","title":"and Han, Qing , title =","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.554990Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:2c49e6aa7b4f9cc2a9d6dfa2489059b5f0588fb995504a065146ac49fb5c4e51","observation_id":"e39a5406-d593-420e-94c5-91390bea2284","resolution":{"observed_at":"2026-08-02T04:16:28.554990Z","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":"2026-08-02T04:16:28.673763Z","title":"and Han, Qing and Stolz, Stephan , title =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.673763Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:a4a3fcfee6b23ca3f36fe5662f3bd8ef16a90abba1491a34d7b735ac862bdb99","observation_id":"c46b5052-271d-4f20-ace7-7a31ead58b33","resolution":{"observed_at":"2026-08-02T04:16:28.673763Z","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":"2026-08-02T04:16:28.765348Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.765348Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:0db42b274f2584c7f26811962a535e4d8dbf3c273b11a5d72e49189bb88b20a3","observation_id":"2c5dc193-09b7-4941-a353-483630decb34","resolution":{"observed_at":"2026-08-02T04:16:28.765348Z","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":"2026-08-02T04:16:28.878353Z","title":", title =","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.878353Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:f4294bcc9b530a1633f8911f9f1da5674408d029cef2f78f7bb3746f5a199780","observation_id":"5423f39d-6983-4657-8884-6c04445a1d79","resolution":{"observed_at":"2026-08-02T04:16:28.878353Z","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":"2026-08-02T04:16:28.964344Z","title":"Transactions of the American Mathematical Society , volume =","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:28.964344Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:d9ae9d1756eb47fd69fddfaf8caa8515f92a44b66f68c9a081e93bda0589c46f","observation_id":"6e0c75fc-d3af-40c7-ab10-b31b702b8595","resolution":{"observed_at":"2026-08-02T04:16:28.964344Z","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":"2026-08-02T04:16:29.025756Z","title":"Journal of the Mathematical Society of Japan , volume =","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.025756Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:fe9d547c747259d4d433492e62a1cbc57e65c63e152d1c4806b7255e3e5748b1","observation_id":"95d0e897-86ff-471c-af72-7a1844e0ef45","resolution":{"observed_at":"2026-08-02T04:16:29.025756Z","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":"2026-08-02T04:16:29.114000Z","title":"Proceedings of the American Mathematical Society , volume =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.114000Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:df6d0ab88c2a4c2979578c7b2dea9baacf72fbc9499af86c313baef45cf2a9ac","observation_id":"3c0ad403-450e-43f6-97f6-d001530177bd","resolution":{"observed_at":"2026-08-02T04:16:29.114000Z","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":"2026-08-02T04:16:29.207857Z","title":"2026 , eprint=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.207857Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:12f65f141469f288f1003b0e0e5ab930cf73148b809d0b7fe7a08e5cae5d9752","observation_id":"8fbea416-7042-4354-a016-785337ead63e","resolution":{"observed_at":"2026-08-02T04:16:29.207857Z","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":"10.1016/j.aim.2018.12.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2019 , publisher=","venue":"Advances in Mathematics","work_id":"f780d55c-73c9-4072-8ff7-6825d325fd24","year":2019},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.267519Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:4540c90b5285cccebe05a9086f34c14ee26363e9faffcdbf5bd6f30c50733611","observation_id":"578be086-9482-4e78-b513-0410b07e2a0b","resolution":{"observed_at":"2026-08-02T04:18:45.705599Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9802150","last_updated":"1998-04-06T20:45:58Z","snapshot_observed_at":"2026-08-02T14:27:11.943858Z","submitted_at":"1998-02-20T22:41:01Z","title":"Anti De Sitter Space And Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9802150","snapshot_observed_at":"2026-08-02T04:16:29.307162Z","title":"Anti de Sitter space and holography","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.307162Z"},"links":{"cited_paper":"/paper/hep-th/9802150","citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:ae13b275cb4453e5348714bc35ef12c3c4d04ea5f452e73cf2d78fd1dac81d5b","observation_id":"8f703609-a3cc-47ab-a631-0b41100acd85","resolution":{"observed_at":"2026-08-02T04:16:29.307162Z","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":"2026-08-02T04:16:29.358179Z","title":"1985 , series=","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.358179Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:062bbb99d02bc345b01a689477a7ba77f1e3577b47b0064d8c7f842bf7a46041","observation_id":"558fcbe0-113c-469d-9dc0-49bc2fc3ffd0","resolution":{"observed_at":"2026-08-02T04:16:29.358179Z","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":"2026-08-02T04:16:29.413261Z","title":"On a conjecture of","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.413261Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:addcb34514ebc10d8da80e7a5aee97e72d2854c5bf18ee6cc7539e403ceb9522","observation_id":"d61585bd-2272-4c47-8b42-ac96e3bf1d1d","resolution":{"observed_at":"2026-08-02T04:16:29.413261Z","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":"2026-08-02T04:16:29.471913Z","title":"and Ge, Yuxin and Jin, Xiaoshang and Qing, Jie , journal=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.471913Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:67bacc7d8d9647ae397f2b77ba470028066a9026daad4f3e8d1959461b757a99","observation_id":"95e388fb-d406-4815-92bf-aa76a83312f9","resolution":{"observed_at":"2026-08-02T04:16:29.471913Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06062","last_updated":"2025-03-08T05:07:03Z","snapshot_observed_at":"2026-08-07T17:20:41.791692Z","submitted_at":"2025-03-08T05:07:03Z","title":"Rigidity of Poincar\\'e-Einstein manifolds with flat Euclidean conformal infinity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.06062","snapshot_observed_at":"2026-08-02T04:16:29.524158Z","title":"Rigidity of","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.524158Z"},"links":{"cited_paper":"/paper/2503.06062","citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:a51ab64b8527d5e9c44c0f8439e1f6bf85fdbc57fda77b49efb3f497ae9da064","observation_id":"428d1256-8053-4c89-b0dd-f0ecbfc6ff20","resolution":{"observed_at":"2026-08-02T04:16:29.524158Z","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":"2026-08-02T04:16:29.597679Z","title":"A Sharp Inequality Relating","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.597679Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:f500d3effadf4a39af45863f771d578b237b6bf6c406f1b2402e720606524216","observation_id":"aed5a536-ca8b-4147-99ba-dbf8062907b0","resolution":{"observed_at":"2026-08-02T04:16:29.597679Z","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":"2026-08-02T04:16:29.666349Z","title":"Lower Bounds for the Relative Volume of","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.666349Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:889a16d8426483faa1aa8a467cec178974d3d706c189cc3c15ad5452033ec08f","observation_id":"12fa5e3d-fcfe-4f5b-9627-616bc2347956","resolution":{"observed_at":"2026-08-02T04:16:29.666349Z","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":"2026-08-02T04:16:29.838795Z","title":"A Note on the Compactness of","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.838795Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:7c09d70a39ba4e388b3cd61215a8ef05cd7d26bf608f546a3a3c1b511ca32fc7","observation_id":"874c813c-bbd7-4a80-879f-bc76ec823d0e","resolution":{"observed_at":"2026-08-02T04:16:29.838795Z","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":"2026-08-02T04:16:29.943403Z","title":"On the Rigidity for Conformally Compact","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:29.943403Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:ce7dab9d6c5fd2e3b43bf51691be4d57fb22c0baf7f68de59f4bd9e356ef6d7a","observation_id":"06288b39-51af-41cf-b7eb-290ad55327a8","resolution":{"observed_at":"2026-08-02T04:16:29.943403Z","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":"2026-08-02T04:16:30.004384Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:30.004384Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:a517bd6fa0d2522a9b3cb3daa0d7c5e9ce5459c0f20958b0bec4727efd33135b","observation_id":"1352069a-b146-4489-93a9-4bd7fabaebd4","resolution":{"observed_at":"2026-08-02T04:16:30.004384Z","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":"2026-08-02T04:16:30.084836Z","title":"and Kazdan, Jerry L","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-02T04:16:30.084836Z"},"links":{"citing_paper":"/paper/2607.13742"},"observation_digest":"sha256:7d4147d3f2f425c9660485f6cf2114f566e3fa0eee5b1a59321ee11c2919bdf0","observation_id":"c2162c3f-cdb9-4c19-89f9-cafa4b13776c","resolution":{"observed_at":"2026-08-02T04:16:30.084836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.13742","last_updated":"2026-07-15T11:59:46Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-02T04:16:25.767940Z","submitted_at":"2026-07-15T11:59:46Z","title":"A sharp relative comparison inequality for conformal fillings of Poincar\\'e--Einstein manifolds"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":30},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.13742."}