{"as_of":"2026-08-17T02:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3d067fddb036db6944d33c0ed5809e98a1ec742243e13492fc6f6cd19becf7b","coverage":[{"denominator":66,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":66,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:41:24.816727Z","state":"measured"},{"denominator":66,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":66,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2504.12641/citation-record","integrity":"/paper/2504.12641/integrity","json":"/paper/2504.12641/citation-record.json","paper":"/paper/2504.12641"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0007031","last_updated":"2001-06-02T01:29:20Z","snapshot_observed_at":"2026-08-06T06:48:17.122588Z","submitted_at":"2000-07-14T18:56:24Z","title":"Gravity with a dynamical preferred frame","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0007031","snapshot_observed_at":"2026-08-16T12:41:24.541256Z","title":"Gravity with a dynamical p referred frame,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.541256Z"},"links":{"cited_paper":"/paper/gr-qc/0007031","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:c60befdb58abd3a0e6aaf23e6afad9cf2b1f6b2e6d6393bcd1b1aaf0fd68d56d","observation_id":"16904b14-1f9f-4898-a4d1-68c1280974f0","resolution":{"observed_at":"2026-08-16T12:41:24.541256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0801.1547","last_updated":"2008-03-09T16:26:11Z","snapshot_observed_at":"2026-08-15T10:23:56.404126Z","submitted_at":"2008-01-10T06:51:29Z","title":"Einstein-aether gravity: a status report","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0801.1547","snapshot_observed_at":"2026-08-16T12:41:24.546171Z","title":"Jacobson, Einstein-Aether gravity: a status report, Proc","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.546171Z"},"links":{"cited_paper":"/paper/0801.1547","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:59d74933028c9be19cf402f9b5863663a9405d77a3da654f049fb5b6e8900e9c","observation_id":"cfa1f0ba-954d-47ba-9415-3ed4d994b111","resolution":{"observed_at":"2026-08-16T12:41:24.546171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.5115","last_updated":"2014-03-23T19:50:28Z","snapshot_observed_at":"2026-08-14T23:58:26.650345Z","submitted_at":"2013-10-18T18:10:42Z","title":"Undoing the twist: the Ho\\v{r}ava limit of Einstein-aether","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.5115","snapshot_observed_at":"2026-08-16T12:41:24.550353Z","title":"Undoing the twist: The Hoˇ rava limit of Ein stein-aether theory,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.550353Z"},"links":{"cited_paper":"/paper/1310.5115","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:1c8cb4a7253a7492ccff5bd9f9d16830bc9d77494b1c4fe140ecb4d83d9c10ab","observation_id":"f6f337e2-fd6c-4f84-9b80-5ee571e374de","resolution":{"observed_at":"2026-08-16T12:41:24.550353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0502097","last_updated":"2005-07-07T20:10:57Z","snapshot_observed_at":"2026-08-10T08:39:50.315368Z","submitted_at":"2005-02-22T19:23:05Z","title":"Modern tests of Lorentz invariance","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0502097","snapshot_observed_at":"2026-08-16T12:41:24.554157Z","title":"Modern tests of Lorentz invariance,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.554157Z"},"links":{"cited_paper":"/paper/gr-qc/0502097","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:af18be0c572e4c1ff06ce30ca27b379dcc49c9fcf2227942608ec44d289bcd08","observation_id":"cd4fb48c-75c4-453c-a949-b416a7e21c86","resolution":{"observed_at":"2026-08-16T12:41:24.554157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.5795","last_updated":"2013-09-05T14:30:12Z","snapshot_observed_at":"2026-08-17T00:15:19.047690Z","submitted_at":"2013-04-21T20:20:09Z","title":"Tests of Lorentz invariance: a 2013 update","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.5795","snapshot_observed_at":"2026-08-16T12:41:24.558300Z","title":"Tests of Lorentz invariance: a 2013 update ,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.558300Z"},"links":{"cited_paper":"/paper/1304.5795","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:52d75d4be6d41d2c60efb176bfd2bb028f924d0e2494f7d5a23700e05a32d1c4","observation_id":"2b6fd1e0-1b9e-420f-964c-5326a7ca42c4","resolution":{"observed_at":"2026-08-16T12:41:24.558300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0711.3822","last_updated":"2007-11-24T06:49:09Z","snapshot_observed_at":"2026-08-15T10:27:06.044183Z","submitted_at":"2007-11-24T06:49:09Z","title":"Einstein-aether gravity: theory and observational constraints","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.3822","snapshot_observed_at":"2026-08-16T12:41:24.562465Z","title":"Einstein-aether gravity: Theory and obse rvational constraints,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.562465Z"},"links":{"cited_paper":"/paper/0711.3822","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:8f646f5a686f5cd7bd6c7e5938fb97068dbf5055357a0fd066603d4170fb4df7","observation_id":"ac69a8d1-7416-4487-9e9c-9dac7d5b9640","resolution":{"observed_at":"2026-08-16T12:41:24.562465Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.04303","last_updated":"2018-06-15T07:34:25Z","snapshot_observed_at":"2026-08-14T19:46:41.953276Z","submitted_at":"2018-02-12T19:03:17Z","title":"Constraints on Einstein-aether theory after GW170817","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.04303","snapshot_observed_at":"2026-08-16T12:41:24.566320Z","title":"Constraints on Einste in-aether theory after GW170817,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.566320Z"},"links":{"cited_paper":"/paper/1802.04303","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:c90ceb7328aae3c6f2f8c0da45dab27f6ab8e77eb0c3917fbc73ff0aeff348a8","observation_id":"d94c66c4-5e5a-41c6-a931-d8eeb61f79d7","resolution":{"observed_at":"2026-08-16T12:41:24.566320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0509083","last_updated":"2006-02-08T15:57:40Z","snapshot_observed_at":"2026-07-07T03:21:28.597214Z","submitted_at":"2005-09-20T23:26:13Z","title":"Post-Newtonian parameters and constraints on Einstein-aether theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0509083","snapshot_observed_at":"2026-08-16T12:41:24.570524Z","title":"Post-Newtonian parameter s and constraints on Einstein- aether theory,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.570524Z"},"links":{"cited_paper":"/paper/gr-qc/0509083","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:2bdf25db457f599687f3299cc73713e7f281208df3f138ac9c8938c42d7da823","observation_id":"2c0a6d6f-fc1c-4fbd-814f-65ba524adf74","resolution":{"observed_at":"2026-08-16T12:41:24.570524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.04596","last_updated":"2021-08-27T18:36:28Z","snapshot_observed_at":"2026-08-16T18:32:39.141443Z","submitted_at":"2021-04-09T20:55:18Z","title":"New binary pulsar constraints on Einstein-{\\ae}ther theory after GW170817","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.04596","snapshot_observed_at":"2026-08-16T12:41:24.574511Z","title":"New binary pulsar constraints on Einstein-æther theory af ter GW170817,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.574511Z"},"links":{"cited_paper":"/paper/2104.04596","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:94563a38f6560914e5a734744033c6257fc0c39e9b6369c692ed24c5f9344c41","observation_id":"a5a3bf7b-6301-4720-8f0f-93a181e50a00","resolution":{"observed_at":"2026-08-16T12:41:24.574511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0505211","last_updated":"2005-07-19T21:22:07Z","snapshot_observed_at":"2026-08-10T07:30:27.812771Z","submitted_at":"2005-05-24T21:16:17Z","title":"Constraining the New Aether: Gravitational Cherenkov Radiation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0505211","snapshot_observed_at":"2026-08-16T12:41:24.579006Z","title":"Constraining t he new Aether: Gravitational Cerenkov radiation,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.579006Z"},"links":{"cited_paper":"/paper/hep-ph/0505211","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:8189b0ceb775c8ab026c3ee54f391289dbe4b2c9708c92caa807e02166176fcc","observation_id":"6fe2f6fa-b4e3-4950-9187-9ee19dd5e4f6","resolution":{"observed_at":"2026-08-16T12:41:24.579006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.00005","last_updated":"2022-06-13T18:17:38Z","snapshot_observed_at":"2026-08-16T18:06:15.560359Z","submitted_at":"2021-07-30T18:00:00Z","title":"Rotating black holes in Einstein-aether theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.00005","snapshot_observed_at":"2026-08-16T12:41:24.583388Z","title":"Rotat ing black holes in Einstein- aether theory,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.583388Z"},"links":{"cited_paper":"/paper/2108.00005","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:e9a0491faa5dac89b5f4567b1e3bb3bd969dddbdd30056d24b40165d42abca8a","observation_id":"310b0c5c-8a9e-49ca-a2cc-a573a2648030","resolution":{"observed_at":"2026-08-16T12:41:24.583388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1301.7122","last_updated":"2013-10-25T09:36:17Z","snapshot_observed_at":"2026-08-15T00:30:39.627249Z","submitted_at":"2013-01-30T02:12:44Z","title":"A Static Spherically Symmetric Solution of the Einstein-aether Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1301.7122","snapshot_observed_at":"2026-08-16T12:41:24.592213Z","title":"Static Spherically Symmetric Sol ution of the Einstein-aether Theory,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.592213Z"},"links":{"cited_paper":"/paper/1301.7122","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:3a7b69063a2c0e2865f65de73da82d5739d022465f1bb9eece79f67b60a264d3","observation_id":"4c4f828e-86e2-4416-8abd-542d1b3b9d37","resolution":{"observed_at":"2026-08-16T12:41:24.592213Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1104.2889","last_updated":"2011-07-07T12:48:23Z","snapshot_observed_at":"2026-08-15T04:49:18.447378Z","submitted_at":"2011-04-14T19:46:51Z","title":"Black holes in Einstein-aether and Horava-Lifshitz gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1104.2889","snapshot_observed_at":"2026-08-16T12:41:24.596309Z","title":"Black hole s in Einstein-aether and Horava- Lifshitz gravity,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.596309Z"},"links":{"cited_paper":"/paper/1104.2889","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:7ff65411912626e8c84cb8959da624470617c7b672d557412b5cb73cdf323474","observation_id":"988c53b4-115d-463e-b36a-e55d2ff170bb","resolution":{"observed_at":"2026-08-16T12:41:24.596309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1507.06618","last_updated":"2015-10-06T17:14:21Z","snapshot_observed_at":"2026-08-14T22:39:14.832391Z","submitted_at":"2015-07-23T19:09:57Z","title":"Charged Einstein-aether black holes and Smarr formula","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.06618","snapshot_observed_at":"2026-08-16T12:41:24.600675Z","title":"Generic features of Einstei n-Aether black holes,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.600675Z"},"links":{"cited_paper":"/paper/1507.06618","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:8654bb3bdff2dab90c0830b21ca7d0833fc8cd07ee7b889ba15917b7b6e7030c","observation_id":"50c77b77-a996-4d12-a737-8c9f40c61fa5","resolution":{"observed_at":"2026-08-16T12:41:24.600675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0703093","last_updated":"2007-07-01T18:45:07Z","snapshot_observed_at":"2026-08-15T10:44:31.698351Z","submitted_at":"2007-03-18T21:03:31Z","title":"Numerical simulations of gravitational collapse in Einstein-aether theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0703093","snapshot_observed_at":"2026-08-16T12:41:24.604691Z","title":"Numerical simul ations of gravitational collapse in Einstein-aether theory,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.604691Z"},"links":{"cited_paper":"/paper/gr-qc/0703093","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:6fe64444d760f622048788d231b7a0b61ca0f8a95e13dbcd690f0fd4c30ffe2b","observation_id":"2f6a7876-11e0-4fcf-b9db-42dc8e207c2c","resolution":{"observed_at":"2026-08-16T12:41:24.604691Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0604088","last_updated":"2010-03-28T12:58:03Z","snapshot_observed_at":"2026-07-07T03:22:24.227721Z","submitted_at":"2006-04-20T19:49:09Z","title":"Black Holes in Einstein-Aether Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0604088","snapshot_observed_at":"2026-08-16T12:41:24.608788Z","title":"Black Holes in Einstein-Aeth er Theory,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.608788Z"},"links":{"cited_paper":"/paper/gr-qc/0604088","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:cb38d8181dce338fd207324a2b47d4f45fc8652424f7a7f889c5ed19c75ad63b","observation_id":"6330cabd-d64a-44fb-bee5-323f3b433f4b","resolution":{"observed_at":"2026-08-16T12:41:24.608788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.06155","last_updated":"2020-09-16T18:52:25Z","snapshot_observed_at":"2026-07-06T09:12:04.401235Z","submitted_at":"2020-04-13T19:01:02Z","title":"Spherically symmetric static black holes in Einstein-aether theory","version":4},"cited_work":{"arxiv_id":"2004.06155","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.06155","snapshot_observed_at":"2026-08-16T12:41:25.226899Z","title":"Spherically symmetric static black holes in Einstein-aether theory","venue":"gr-qc","work_id":"41753da7-7f41-4394-9f03-e5bbe4b3567a","year":2020},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.612994Z"},"links":{"cited_paper":"/paper/2004.06155","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:afd2cc2c54b2f76b9adf95675ca6b0bf106a52f35fef3b8a2fcb01407a3ce713","observation_id":"8b9a2bd4-a7bb-40af-bde6-f68cc5b57909","resolution":{"observed_at":"2026-08-16T12:41:25.231050Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1512.02028","last_updated":"2016-04-18T11:54:45Z","snapshot_observed_at":"2026-08-14T22:19:43.590740Z","submitted_at":"2015-12-07T13:07:34Z","title":"Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions","version":2},"cited_work":{"arxiv_id":"1512.02028","doi":null,"metadata_source":"pith","pith_arxiv_id":"1512.02028","snapshot_observed_at":"2026-08-16T12:41:25.210797Z","title":"Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions","venue":"gr-qc","work_id":"d65529f0-b700-4107-9111-273143701039","year":2015},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.617094Z"},"links":{"cited_paper":"/paper/1512.02028","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:23446bafb6f2592330fa56e1758abe055f6387786a490ebf452e153ac7e1447b","observation_id":"6df940ca-c048-44af-a9b7-30c9451fcdbd","resolution":{"observed_at":"2026-08-16T12:41:25.214783Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.4351","last_updated":"2012-01-16T20:25:00Z","snapshot_observed_at":"2026-08-15T05:10:27.072915Z","submitted_at":"2010-08-25T19:58:02Z","title":"Stability of the aether","version":2},"cited_work":{"arxiv_id":"1008.4351","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.4351","snapshot_observed_at":"2026-08-16T12:41:25.194640Z","title":"Stability of the aether","venue":"hep-th","work_id":"0a4eaf98-3ad6-439a-9622-575a11c79f35","year":2010},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.621342Z"},"links":{"cited_paper":"/paper/1008.4351","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:b8e8d9b5406c84c8f2684217ea4bc52dcd717fc508cea69dee254626e358bf5e","observation_id":"9d7b8393-4747-42f9-afd3-2edc713352e0","resolution":{"observed_at":"2026-08-16T12:41:25.198508Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0812.1049","last_updated":"2009-03-23T21:09:48Z","snapshot_observed_at":"2026-08-15T05:59:56.231245Z","submitted_at":"2008-12-05T20:29:15Z","title":"Instabilities in the Aether","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0812.1049","snapshot_observed_at":"2026-08-16T12:41:24.625391Z","title":"In stabilities in the Aether,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.625391Z"},"links":{"cited_paper":"/paper/0812.1049","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:d42bb290226a9698e6b00e9ac1232bb37cf975f99a69713da0881d20431bf3b6","observation_id":"9f31defe-59b9-49cb-a59d-52175c116a80","resolution":{"observed_at":"2026-08-16T12:41:24.625391Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.08061","last_updated":"2021-08-17T15:28:50Z","snapshot_observed_at":"2026-08-16T18:09:28.488325Z","submitted_at":"2021-07-16T18:03:16Z","title":"Odd-parity stability of black holes in Einstein-Aether gravity","version":2},"cited_work":{"arxiv_id":"2107.08061","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.08061","snapshot_observed_at":"2026-08-16T12:41:25.166920Z","title":"Odd-parity stability of black holes in Einstein-Aether gravity","venue":"gr-qc","work_id":"d5b98d76-50f7-4f00-9e7d-eb9b930afb7d","year":2021},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.629392Z"},"links":{"cited_paper":"/paper/2107.08061","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:fe3ced958a973914129eafeca05aca06a44de7ca11d38202621fd4cd181e410b","observation_id":"6f954a7d-b4d4-45ba-97cc-c108ebe169a9","resolution":{"observed_at":"2026-08-16T12:41:25.171156Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0711.0520","last_updated":"2007-11-04T14:05:06Z","snapshot_observed_at":"2026-08-15T10:28:28.379476Z","submitted_at":"2007-11-04T14:05:06Z","title":"On the growth of structure in theories with a dynamical preferred frame","version":1},"cited_work":{"arxiv_id":"0711.0520","doi":null,"metadata_source":"pith","pith_arxiv_id":"0711.0520","snapshot_observed_at":"2026-08-16T12:41:25.150918Z","title":"On the growth of structure in theories with a dynamical preferred frame","venue":"astro-ph","work_id":"bad4d781-6fc4-45ff-bf32-e1288f981a72","year":2007},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.633089Z"},"links":{"cited_paper":"/paper/0711.0520","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:57d0314de3b4e1b0ef1857a18cb9cda52502b0301dcafd0ca793cb88446e065a","observation_id":"a2cd437c-9f7a-4c66-8cb3-e275570972e6","resolution":{"observed_at":"2026-08-16T12:41:25.154932Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0407149","last_updated":"2005-01-01T23:00:35Z","snapshot_observed_at":"2026-08-01T21:10:23.983893Z","submitted_at":"2004-07-17T00:52:26Z","title":"Lorentz-Violating Vector Fields Slow the Universe Down","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0407149","snapshot_observed_at":"2026-08-16T12:41:24.637364Z","title":"Lorentz-violating vector ﬁ elds slow the universe down,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.637364Z"},"links":{"cited_paper":"/paper/hep-th/0407149","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:6598ded1295e882728fa496b29bde3eafee6dd04fb3914c678d56d416df182e7","observation_id":"94f3d67d-5561-48cc-b5f5-d226bd0ffc74","resolution":{"observed_at":"2026-08-16T12:41:24.637364Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.0849","last_updated":"2010-02-03T21:09:09Z","snapshot_observed_at":"2026-08-15T05:27:26.661971Z","submitted_at":"2010-02-03T21:09:09Z","title":"Vector field models of modified gravity and the dark sector","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1002.0849","snapshot_observed_at":"2026-08-16T12:41:24.641812Z","title":"Vector ﬁeld models of modiﬁed gravity and the dark sector,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.641812Z"},"links":{"cited_paper":"/paper/1002.0849","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:3b30507c1efca23271ed7634ce590ebd32ad9e4323409afebfb7cec34891a449","observation_id":"3bb6052c-c2c8-41c9-96b7-b58ad329320f","resolution":{"observed_at":"2026-08-16T12:41:24.641812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0607411","last_updated":"2014-02-16T17:11:21Z","snapshot_observed_at":"2026-08-15T11:08:42.803389Z","submitted_at":"2006-07-18T12:43:44Z","title":"Modifying gravity with the Aether: an alternative to Dark Matter","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0607411","snapshot_observed_at":"2026-08-16T12:41:24.645669Z","title":"Modify ing gravity with the Aether: An alternative to Dark Matter,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.645669Z"},"links":{"cited_paper":"/paper/astro-ph/0607411","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:04e08e54ddadfcdab9377ebd2954f462d98cd7ecd93b4142d84e26aa45db9dec","observation_id":"91336220-2743-4ed2-9815-f4a715a7c00b","resolution":{"observed_at":"2026-08-16T12:41:24.645669Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.05766","last_updated":"2016-03-11T15:43:07Z","snapshot_observed_at":"2026-08-14T22:22:25.396881Z","submitted_at":"2015-11-18T13:23:50Z","title":"The Einstein-Maxwell-aether-axion theory: Dynamo-optical anomaly in the electromagnetic response","version":2},"cited_work":{"arxiv_id":"1511.05766","doi":null,"metadata_source":"pith","pith_arxiv_id":"1511.05766","snapshot_observed_at":"2026-08-16T12:41:25.100750Z","title":"The Einstein-Maxwell-aether-axion theory: Dynamo-optical anomaly in the electromagnetic response","venue":"gr-qc","work_id":"dbca1193-95a6-4ce2-bc3f-f69bf94fdf83","year":2015},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.649767Z"},"links":{"cited_paper":"/paper/1511.05766","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:409daf089c5392f6fbd3cc6038fed361b1b966bf86dd41681589a33925ef8a4a","observation_id":"3a3e1826-a13e-4982-97aa-9f7399c0a364","resolution":{"observed_at":"2026-08-16T12:41:25.105038Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1407.6014","last_updated":"2014-07-22T20:00:40Z","snapshot_observed_at":"2026-08-14T23:25:46.911191Z","submitted_at":"2014-07-22T20:00:40Z","title":"Einstein-aether theory with a Maxwell field: General formalism","version":1},"cited_work":{"arxiv_id":"1407.6014","doi":null,"metadata_source":"pith","pith_arxiv_id":"1407.6014","snapshot_observed_at":"2026-08-16T12:41:25.083642Z","title":"Einstein-aether theory with a Maxwell field: General formalism","venue":"gr-qc","work_id":"154d7450-875b-4bfe-9387-7bb1badffca7","year":2014},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.654556Z"},"links":{"cited_paper":"/paper/1407.6014","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:f07e8637687dd75fc8eaca8e2635d8ca52ebcab51a884bb86de8c34f086e0ede","observation_id":"c6113f61-8ceb-479d-aed8-955dd51bf62e","resolution":{"observed_at":"2026-08-16T12:41:25.088017Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0707.3519","last_updated":"2007-11-06T11:22:42Z","snapshot_observed_at":"2026-08-15T10:35:31.268598Z","submitted_at":"2007-07-24T10:24:02Z","title":"Generalized Einstein-Aether theories and the Solar System","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0707.3519","snapshot_observed_at":"2026-08-16T12:41:24.658976Z","title":"Generalized Einstein- Aether theories and the Solar System,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.658976Z"},"links":{"cited_paper":"/paper/0707.3519","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:52b059f2a126d5442b957f181b653c49c8d2d8fd502bd2be7a51096cadcb0835","observation_id":"48359c03-ba09-48c0-a0aa-1d4bbc5e859e","resolution":{"observed_at":"2026-08-16T12:41:24.658976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.02266","last_updated":"2019-03-10T23:06:25Z","snapshot_observed_at":"2026-08-14T22:02:33.089857Z","submitted_at":"2016-04-08T08:07:20Z","title":"A Modified Gravity Theory: Null Aether","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.02266","snapshot_observed_at":"2026-08-16T12:41:24.663107Z","title":"A Modiﬁed Gravity Theory: Null Aether,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.663107Z"},"links":{"cited_paper":"/paper/1604.02266","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:8c1103da4f08491a73ddf087a748ef5326a5be01b0814a8c6e2bae83d6a28a22","observation_id":"8e4a42ab-7fb7-4092-9eb5-334a4f0ddcd0","resolution":{"observed_at":"2026-08-16T12:41:24.663107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0905.0328","last_updated":"2009-08-11T07:07:17Z","snapshot_observed_at":"2026-08-15T05:49:16.360249Z","submitted_at":"2009-05-04T09:04:46Z","title":"{\\AE}ther Field, Casimir Energy and Stabilization of The Extra Dimension","version":2},"cited_work":{"arxiv_id":"0905.0328","doi":null,"metadata_source":"pith","pith_arxiv_id":"0905.0328","snapshot_observed_at":"2026-08-16T12:41:25.042535Z","title":"{\\AE}ther Field, Casimir Energy and Stabilization of The Extra Dimension","venue":"hep-th","work_id":"47d944d2-182d-4c3d-98e7-0d80436d75ab","year":2009},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.666809Z"},"links":{"cited_paper":"/paper/0905.0328","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:4d7367ab8375108a3c57bf455796405d3a53c9b56b3bd6eb494fba9868a6679a","observation_id":"f8a593a6-3804-4456-90a2-2c8f9ef35654","resolution":{"observed_at":"2026-08-16T12:41:25.048074Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0802.0521","last_updated":"2008-06-24T22:10:14Z","snapshot_observed_at":"2026-08-15T10:22:16.984333Z","submitted_at":"2008-02-05T00:04:10Z","title":"Aether Compactification","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.0521","snapshot_observed_at":"2026-08-16T12:41:24.671312Z","title":"Aether Compactiﬁcation,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.671312Z"},"links":{"cited_paper":"/paper/0802.0521","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:862cc5ecf8de683266e766b40e464683adacf1b88f7a014be275c3b7107aa0cb","observation_id":"4a8a2aa1-98b4-4a4e-ae51-7765d4a3f190","resolution":{"observed_at":"2026-08-16T12:41:24.671312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0701357","last_updated":"2009-08-10T19:42:39Z","snapshot_observed_at":"2026-08-15T10:51:11.599196Z","submitted_at":"2007-01-11T23:47:40Z","title":"Imprints of a Primordial Preferred Direction on the Microwave Background","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0701357","snapshot_observed_at":"2026-08-16T12:41:24.676385Z","title":"Imprints of a P rimordial Preferred Direction on the Microwave Background,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.676385Z"},"links":{"cited_paper":"/paper/astro-ph/0701357","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:9847c70aa4523b301ef88b2222eee3cce11323d9aa692a5d4d9ceea5edae3b51","observation_id":"5df8f960-e62d-4374-b637-f31e7df13fb1","resolution":{"observed_at":"2026-08-16T12:41:24.676385Z","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":"2026-08-16T12:41:25.614236Z","title":"Kosmologische Betrachtungen zur allgem einen Relativit¨ atstheorie,","venue":null,"work_id":"b7be37a3-9e9b-4411-98f4-cb338d6328a5","year":1917},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.680891Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:07fe9f6a6c469b96eeb6ef82ff4017135f3ecc93b934244f702749f1f19624d0","observation_id":"f0a9b607-fac8-424b-90bf-f4ee8bdd86d3","resolution":{"observed_at":"2026-08-16T12:41:25.617857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9812133","last_updated":"1998-12-08T03:27:34Z","snapshot_observed_at":"2026-08-14T18:17:06.144059Z","submitted_at":"1998-12-08T03:27:34Z","title":"Measurements of Omega and Lambda from 42 High-Redshift Supernovae","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9812133","snapshot_observed_at":"2026-08-16T12:41:24.684836Z","title":"Measureme nts of Omega and Lambda from 42 high redshift supernovae,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.684836Z"},"links":{"cited_paper":"/paper/astro-ph/9812133","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:d2fe0f024f7d8940adb7861ad8a4c691fb13ccf0fd56b4087f6ff7d3527ec559","observation_id":"7b2c250e-b657-4b69-a4e5-a670728041f4","resolution":{"observed_at":"2026-08-16T12:41:24.684836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9805201","last_updated":"1998-05-15T03:59:02Z","snapshot_observed_at":"2026-08-14T08:08:09.999762Z","submitted_at":"1998-05-15T03:59:02Z","title":"Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9805201","snapshot_observed_at":"2026-08-16T12:41:24.689055Z","title":"Observational evidence from sup ernovae for an accelerating universe and a cosmological constant,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.689055Z"},"links":{"cited_paper":"/paper/astro-ph/9805201","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:7284afd62d4705919db94bf4d4d2f23e2dba2f84829e377e2c9d464ea090142f","observation_id":"e918579a-176a-4c83-aa7c-5c1293611548","resolution":{"observed_at":"2026-08-16T12:41:24.689055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9711200","last_updated":"1998-01-22T15:42:41Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-11-27T23:53:13Z","title":"The Large N Limit of Superconformal Field Theories and Supergravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9711200","snapshot_observed_at":"2026-08-16T12:41:24.693095Z","title":"The Large N limit of superconformal ﬁe ld theories and supergrav- ity,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.693095Z"},"links":{"cited_paper":"/paper/hep-th/9711200","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:4297e21f5c8e4461a5ea59ba96cff9c2548c0a2c6ad1f709fdb30db52fd357e4","observation_id":"01575612-fcba-423c-a7f1-2347d3a8c270","resolution":{"observed_at":"2026-08-16T12:41:24.693095Z","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":"2026-08-16T12:41:25.602648Z","title":"Central Charges in the Cano nical Realization of Asymp- totic Symmetries: An Example from Three-Dimensional Gravi ty,","venue":null,"work_id":"1fc7d61c-b579-4b56-b4fa-15212aeb8c1d","year":1986},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.696920Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:bda4a6791b1088734e5316e536ca1009d1f070af972fc837d1cc44851892726b","observation_id":"e38bb612-d2e0-471f-918e-bc31e08dea47","resolution":{"observed_at":"2026-08-16T12:41:25.607282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.591759Z","title":"Hidden Const ants: The Theta Parameter of QCD and the Cosmological Constant of N=8 Supergravity,","venue":null,"work_id":"a9b14566-0b50-48a9-8992-4b9cf2aab4c2","year":1980},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.700305Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:4894a2064aa654f190133c04bc8a290203f1e7225c0896370331499e7c4a542a","observation_id":"73475573-dcd2-4b63-9599-8e2be5b77c2a","resolution":{"observed_at":"2026-08-16T12:41:25.595670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.581327Z","title":"Quantum Inequivale nce of Diﬀerent Field Repre- sentations,","venue":null,"work_id":"c2f27ba9-4db9-4bea-b97b-631d87b0e641","year":1980},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.703959Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:791fe4dbff0d5d9ca3a474fc164cbf7ccef0b8bdbb29309921246d58b0ca9479","observation_id":"985566fa-6250-4bf2-92ff-6b4353cfcb61","resolution":{"observed_at":"2026-08-16T12:41:25.584970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.570760Z","title":"The Cosmological Const ant As A Canonical Variable,","venue":null,"work_id":"b73acc93-8c38-4a77-ba56-6398ee55b540","year":1984},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.708454Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:eec9f6b6bd3b4ba23d19bb8f1ea539c3ad6aced75730efa6b2d21663ba72ff70","observation_id":"ca3a5350-7bee-4013-be0c-3dcdf90336c7","resolution":{"observed_at":"2026-08-16T12:41:25.574646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.559673Z","title":"Asymptotically anti-D e Sitter Spaces,","venue":null,"work_id":"e02d6bd0-d3e4-453a-9a3b-da43d3a89770","year":1985},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.713231Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:f9ef6e63cd953694c686853a8f1e50b3fe769e92789e4a67bb483301fd4500d4","observation_id":"aec10677-e56e-494c-8a59-9084c53c129e","resolution":{"observed_at":"2026-08-16T12:41:25.563728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.548542Z","title":"The Cosmological Constant As A Thermod ynamic Black Hole Parameter,","venue":null,"work_id":"e0e26d49-cc7d-41a5-b4d3-38a60585690b","year":1985},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.717006Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:d721a9e2de26fb6ba5b68f21e1dcfa184023304ba0df36b41a84787ffdc036af","observation_id":"895389f1-4b15-48cc-b596-8d8ea0e2d622","resolution":{"observed_at":"2026-08-16T12:41:25.552181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.536851Z","title":"The Cosmological Const ant and General Covariance,","venue":null,"work_id":"99d04fff-f0ad-4018-8bbc-560f799b7e9a","year":1989},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.720936Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:38372513aa90d701ac9b8105b979b892920e9a273c2dda5b3a12a9aa448b541c","observation_id":"a10d21f7-0e87-4090-9a41-21221393546a","resolution":{"observed_at":"2026-08-16T12:41:25.541338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.07904","last_updated":"2018-05-26T14:37:20Z","snapshot_observed_at":"2026-08-14T20:21:33.157236Z","submitted_at":"2017-10-22T07:41:47Z","title":"Cosmological constant is a conserved charge","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.07904","snapshot_observed_at":"2026-08-16T12:41:24.724421Z","title":"Cosmological constant i s a conserved charge,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.724421Z"},"links":{"cited_paper":"/paper/1710.07904","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:b3d4c634b7c09c7d6ad97ce98e304b2698919b4670bf62983c7e8d1d19511c45","observation_id":"62978c79-52b5-481e-bfac-2e59eac37ca8","resolution":{"observed_at":"2026-08-16T12:41:24.724421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.10983","last_updated":"2021-08-12T17:17:49Z","snapshot_observed_at":"2026-08-16T18:37:40.998248Z","submitted_at":"2021-03-19T18:40:25Z","title":"First law of black hole thermodynamics and Smarr formula with a cosmological constant","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.10983","snapshot_observed_at":"2026-08-16T12:41:24.728562Z","title":"First law of black hole thermodynami cs and Smarr formula with a cosmological constant,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.728562Z"},"links":{"cited_paper":"/paper/2103.10983","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:1c98c7f9e2ba104c6e01d3e5c1a1fa3c44268300032ed9d6b9fdeb432b82cf9d","observation_id":"4983877a-4c7b-48c7-98e9-244ca14da362","resolution":{"observed_at":"2026-08-16T12:41:24.728562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.07634","last_updated":"2024-05-07T02:56:13Z","snapshot_observed_at":"2026-08-16T15:00:45.428278Z","submitted_at":"2023-09-14T11:58:09Z","title":"Coupling Constants as Conserved Charges in Black Hole Thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.07634","snapshot_observed_at":"2026-08-16T12:41:24.736608Z","title":"Einstein-aether as a quantum eﬀective ﬁeld theory,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.736608Z"},"links":{"cited_paper":"/paper/2309.07634","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:2d8e9a4fb82beb0caf49db10baf8f46c4debe9995ccb1f243ba3955127b4ef2b","observation_id":"76ec1f6b-d486-49c0-8c77-c1a6173999ae","resolution":{"observed_at":"2026-08-16T12:41:24.736608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07068","last_updated":"2024-09-19T05:53:13Z","snapshot_observed_at":"2026-08-16T14:19:37.384040Z","submitted_at":"2024-02-10T23:51:04Z","title":"Minimal Einstein-Aether Theory","version":2},"cited_work":{"arxiv_id":"2402.07068","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.07068","snapshot_observed_at":"2026-08-16T12:41:24.939595Z","title":"Minimal Einstein-Aether Theory","venue":"gr-qc","work_id":"8fc23a00-49ba-417c-a5cf-0fd470ed58e6","year":2024},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.740627Z"},"links":{"cited_paper":"/paper/2402.07068","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:c618c4b2955e96acbea5451fee1af0df480bed5346d662e2d40230ded11092c7","observation_id":"eaf2952a-f547-4057-badb-a1d465fbaac0","resolution":{"observed_at":"2026-08-16T12:41:24.944541Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.06891","last_updated":"2024-04-19T14:46:17Z","snapshot_observed_at":"2026-08-16T14:35:40.897894Z","submitted_at":"2023-12-11T23:26:18Z","title":"Kerr Black Hole in Einstein--\\AE{}ther Gravity","version":2},"cited_work":{"arxiv_id":"2312.06891","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.06891","snapshot_observed_at":"2026-08-16T12:41:24.921525Z","title":"Kerr Black Hole in Einstein--\\AE{}ther Gravity","venue":"gr-qc","work_id":"f3ab0f55-752b-4442-8dbe-ab81ebd97963","year":2023},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.744482Z"},"links":{"cited_paper":"/paper/2312.06891","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:d26441faa97ecdc1427020ecfdc603d237e62ffe38e516d2875cb31066134307","observation_id":"8196fed4-7523-4c95-a477-cfe374ab82df","resolution":{"observed_at":"2026-08-16T12:41:24.927468Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.523403Z","title":"Local symmetries and constraints ,","venue":null,"work_id":"6013365d-c3c7-4a49-a330-2d1aabfa02de","year":1990},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.748371Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:8a0d8c2838eee54eba934559f1608344e82c902c21181d13439a7a3f521790ab","observation_id":"d732269d-eaf0-4316-ab91-cb8437bcfb81","resolution":{"observed_at":"2026-08-16T12:41:25.528468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9307038","last_updated":"1993-07-29T16:37:13Z","snapshot_observed_at":"2026-07-07T03:24:21.295752Z","submitted_at":"1993-07-29T16:37:13Z","title":"Black Hole Entropy is Noether Charge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9307038","snapshot_observed_at":"2026-08-16T12:41:24.752070Z","title":"Black hole entropy is the Noether charge,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.752070Z"},"links":{"cited_paper":"/paper/gr-qc/9307038","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:28d79f3cfdc1c36dbe130a15e011659c7ffdcb1043d942b66b072e05c5f72a62","observation_id":"c5b52836-fea2-4d5a-96eb-c396cfda63ea","resolution":{"observed_at":"2026-08-16T12:41:24.752070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9403028","last_updated":"1994-03-15T18:18:00Z","snapshot_observed_at":"2026-08-08T08:03:16.411862Z","submitted_at":"1994-03-15T18:18:00Z","title":"Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9403028","snapshot_observed_at":"2026-08-16T12:41:24.756058Z","title":"Some properties of Noether charg e and a proposal for dynamical black hole entropy,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.756058Z"},"links":{"cited_paper":"/paper/gr-qc/9403028","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:59337f9cf0a52d59a2b7412f06db3474964c6e8995bee94a047f8a3f67675ef3","observation_id":"05a7bfe0-fb08-41de-a0dc-f97c0e8fbc14","resolution":{"observed_at":"2026-08-16T12:41:24.756058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9911095","last_updated":"1999-11-24T21:14:17Z","snapshot_observed_at":"2026-07-07T03:32:05.385131Z","submitted_at":"1999-11-24T21:14:17Z","title":"A General Definition of \"Conserved Quantities\" in General Relativity and Other Theories of Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9911095","snapshot_observed_at":"2026-08-16T12:41:24.759882Z","title":"A General deﬁnition of ’conser ved quantities’ in general relativ- ity and other theories of gravity,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.759882Z"},"links":{"cited_paper":"/paper/gr-qc/9911095","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:a1bd955bcc888e7f68c4da79a44d9caa34bc65843ee14eec2b6b2f8b84ff6c15","observation_id":"2b5e8f13-8129-41c2-add1-f97a5c59115c","resolution":{"observed_at":"2026-08-16T12:41:24.759882Z","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":"2026-08-16T12:41:25.511668Z","title":"Phase space form ulation of general relativity without a 3+1 splitting,","venue":null,"work_id":"fbd31675-1a78-4a7c-a4d4-3591302ac407","year":1987},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.763859Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:6b43da0b8fb0e5b85f357529912e489b9a09639a02b439f2bd0c1cc565283791","observation_id":"d7b1c38c-b255-41c9-9dff-0bff25b6fbfe","resolution":{"observed_at":"2026-08-16T12:41:25.515909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.498746Z","title":"The covariant p hase space of asymptotically ﬂat gravitational ﬁelds,","venue":null,"work_id":"1d860eee-a711-4369-a80f-18f8ebf3b789","year":1990},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.768022Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:02892a8129892ed68fcefda0302f9a56d8ae46d692210ea0ba23dbc662c7fcc9","observation_id":"5f8adedd-6362-4116-bc7a-6b48d705e043","resolution":{"observed_at":"2026-08-16T12:41:25.503534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.487427Z","title":"Covariant Description Of Ca nonical Formalism In Geometrical Theories,","venue":null,"work_id":"a6574337-a5f8-4106-8713-c19282c486cb","year":1987},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.772196Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:dafa5f8ce650054133763a93c28dbb1294265a5979061c4a93fef1dff6a22786","observation_id":"562bc648-3502-4d21-b284-89402af10f73","resolution":{"observed_at":"2026-08-16T12:41:25.491293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1512.05584","last_updated":"2016-02-18T19:07:39Z","snapshot_observed_at":"2026-08-14T22:18:04.823374Z","submitted_at":"2015-12-17T14:04:01Z","title":"Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.05584","snapshot_observed_at":"2026-08-16T12:41:24.776688Z","title":"Solution Phase Spa ce and Conserved Charges: A General Formulation for Charges Associated with Exact Symm etries,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.776688Z"},"links":{"cited_paper":"/paper/1512.05584","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:97916a2ee50ea6d1feb6cb8fb12cfff1defcdc289566b3c4a46c0c39cb768b9b","observation_id":"61a47651-4a91-4c76-9b1e-863f6ade0ab7","resolution":{"observed_at":"2026-08-16T12:41:24.776688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.03494","last_updated":"2015-09-12T16:01:41Z","snapshot_observed_at":"2026-08-14T22:36:31.046819Z","submitted_at":"2015-08-14T14:20:21Z","title":"On Thermodynamics and Phase Space of Near Horizon Extremal Geometries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.03494","snapshot_observed_at":"2026-08-16T12:41:24.781021Z","title":"On Thermodynamics and Phase Space of Near Ho rizon Extremal Geometries,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.781021Z"},"links":{"cited_paper":"/paper/1508.03494","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:b49d777d0432fddf14e5bfa1bedd33a5f6fff42ffa4d7f7e3bb8f63ca8893c2e","observation_id":"07dac313-8eac-4118-bb82-43161f5ac9eb","resolution":{"observed_at":"2026-08-16T12:41:24.781021Z","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":"2026-08-16T12:41:25.474963Z","title":"Four Forms and the Vanishi ng of the Cosmological Constant,","venue":null,"work_id":"d124b3b9-5cd4-4bc9-906e-d9f3dff3af0a","year":1990},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.785151Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:eff45b160c34b9ef48f0dfcf619631c106ac9fe5467da83068d928af6d38ac1f","observation_id":"ef388b67-12d7-44bb-9d6c-70b990a72c4b","resolution":{"observed_at":"2026-08-16T12:41:25.479893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0709.3314","last_updated":"2007-11-10T18:24:43Z","snapshot_observed_at":"2026-08-15T10:31:48.229197Z","submitted_at":"2007-09-21T16:07:53Z","title":"The Cosmological Constant is Probably Zero, and a Proof is Possibly Right","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0709.3314","snapshot_observed_at":"2026-08-16T12:41:24.788885Z","title":"The Cosmological Constant is Probably Zero, an d a Proof is Possibly Right,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.788885Z"},"links":{"cited_paper":"/paper/0709.3314","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:567ab6c9f5a815d4abd78427e54872d972a2a2b8f1fcce6d44f8abf9a0279e98","observation_id":"2416b19b-5545-4820-aa87-d6f3921baf06","resolution":{"observed_at":"2026-08-16T12:41:24.788885Z","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":"2026-08-16T12:41:25.462700Z","title":"Gravitational ﬁeld of a spinning mass as an example of algebraically special metrics,","venue":null,"work_id":"fc8c0132-0264-4e6b-95c6-9f5bcf8dc991","year":1963},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.792825Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:71592a2edc0e0ba0b0409105f409b4036f209c7a2cb58c3c4d8c8c9e844f7477","observation_id":"f9c238c3-1f7e-40cc-89ce-014936748c06","resolution":{"observed_at":"2026-08-16T12:41:25.466684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.451106Z","title":"Note on the Kerr spinning pa rticle metric,","venue":null,"work_id":"f0ba7207-dc7f-4ddc-98f6-ce06666ae5c9","year":1965},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.797560Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:3f14e13bbedd1dd9c167e7fb0fe8c9483b572f36cea7274a9fefb4a81c068703","observation_id":"6501f5a3-9419-4fdc-91bb-f9a07cbac2d0","resolution":{"observed_at":"2026-08-16T12:41:25.454854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.439160Z","title":"Metric of a Rotating, Charged Mass,","venue":null,"work_id":"b7d39607-943d-47f6-8447-97cabfb397d7","year":null},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.801093Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:0ff685ed0774914190484b2b8f529cdc7f45ce1909f5934875e0bfdd780f94f2","observation_id":"9b5bdd10-14e3-406a-ad97-a2ebdfd6138a","resolution":{"observed_at":"2026-08-16T12:41:25.443625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.427886Z","title":"Hamilton-Jacobi and Schrodinger separabl e solutions of Einstein’s equations,","venue":null,"work_id":"492c42cd-9e5e-4dcc-97ac-7cf447458c43","year":1968},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.805258Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:1f1c25d29d008ac8048e9c1dbc125159a69a0243d6449dbbd21cbd51f9e3412d","observation_id":"fc2e3e31-32c9-4767-bae1-72a0b2d93654","resolution":{"observed_at":"2026-08-16T12:41:25.431737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.416360Z","title":"The commutation property of a stationary, a xisymmetric system,","venue":null,"work_id":"a2f7f984-db3a-48a3-9dc2-5256c6c72e49","year":1970},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.809304Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:5f15c6986a7b674fdaf48f39a45189d1d3f23b15b6a52f5067cf4b21298d0e12","observation_id":"12a92d66-09af-47e0-8cb6-6b4f75e86baa","resolution":{"observed_at":"2026-08-16T12:41:25.420617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:41:25.404576Z","title":"Carter; in: C","venue":null,"work_id":"d5c75d3e-8be2-4e1b-810b-658887c74d5a","year":1973},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.812924Z"},"links":{"citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:e6536f76f601430285cedf734ad159f3f92028e4f929c627df6e374dae2cde47","observation_id":"a65e703a-3e04-4426-ab10-e375e3d9ee72","resolution":{"observed_at":"2026-08-16T12:41:25.408249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.05575","last_updated":"2016-07-28T19:06:54Z","snapshot_observed_at":"2026-08-14T22:09:55.708781Z","submitted_at":"2016-02-17T18:02:30Z","title":"Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.05575","snapshot_observed_at":"2026-08-16T12:41:24.816727Z","title":"Conserved charges and ﬁrst law of thermodyn amics for Kerr–de Sitter black holes,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:24.816727Z"},"links":{"cited_paper":"/paper/1602.05575","citing_paper":"/paper/2504.12641"},"observation_digest":"sha256:89eaf8910ecd9a9fcc48d725856e620f65f9ccb8992c9e2e81aaed123339e9a5","observation_id":"624a8c66-0c8f-4a98-848f-6ca508371e5f","resolution":{"observed_at":"2026-08-16T12:41:24.816727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2504.12641","last_updated":"2025-05-26T17:10:35Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-16T12:24:13.274857Z","submitted_at":"2025-04-17T04:58:15Z","title":"Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory"},"reference_resolution":{"displayed":66,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":10,"verified_fuzzy":19},"total_outbound_references":66},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2504.12641."}