{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:7QWTWV3GKFCL6KBQA3CNI4I7GG","short_pith_number":"pith:7QWTWV3G","schema_version":"1.0","canonical_sha256":"fc2d3b57665144bf283006c4d4711f31885c1fc26f96e0963c1b74d4976c22e4","source":{"kind":"arxiv","id":"2308.09763","version":1},"attestation_state":"computed","paper":{"title":"The Action of Geometric Entropy in Topologically Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Molly Kaplan","submitted_at":"2023-08-18T18:10:37Z","abstract_excerpt":"Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. We study the action of this geometric entropy on the covariant phase space of classical solutions for TMG with matter fields whose action is algebraic in the metric. The result agrees precisely with the action of HRT area operators in Einstein-Hilbert gravity given in arXiv:2203.04270, i.e., it is a boundary-condition-preserving kink transformation. Furthe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2308.09763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-18T18:10:37Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3f17a8cb6eb2ef3c6db096815bfa281962da6e6ad217609e945a722562aab21c","abstract_canon_sha256":"26c03f6eb5b864ba39d826acfa22bfdd4e304611e51a11e26a1ab5d7fd2918e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:42:46.527877Z","signature_b64":"0QaYOjE9OrqTTfIDEipifYOJlLBPS6xrwnM4IJUJekkIDS/7KsxGWm2AKAzUhDO4zmGUt0QKt0iZur69yYDiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc2d3b57665144bf283006c4d4711f31885c1fc26f96e0963c1b74d4976c22e4","last_reissued_at":"2026-07-05T06:42:46.527410Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:42:46.527410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Action of Geometric Entropy in Topologically Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Molly Kaplan","submitted_at":"2023-08-18T18:10:37Z","abstract_excerpt":"Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. We study the action of this geometric entropy on the covariant phase space of classical solutions for TMG with matter fields whose action is algebraic in the metric. The result agrees precisely with the action of HRT area operators in Einstein-Hilbert gravity given in arXiv:2203.04270, i.e., it is a boundary-condition-preserving kink transformation. Furthe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.09763","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.09763/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2308.09763","created_at":"2026-07-05T06:42:46.527469+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.09763v1","created_at":"2026-07-05T06:42:46.527469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.09763","created_at":"2026-07-05T06:42:46.527469+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QWTWV3GKFCL","created_at":"2026-07-05T06:42:46.527469+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QWTWV3GKFCL6KBQ","created_at":"2026-07-05T06:42:46.527469+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QWTWV3G","created_at":"2026-07-05T06:42:46.527469+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.12438","citing_title":"Geometric Entropies and their Hamiltonian Flows","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG","json":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG.json","graph_json":"https://pith.science/api/pith-number/7QWTWV3GKFCL6KBQA3CNI4I7GG/graph.json","events_json":"https://pith.science/api/pith-number/7QWTWV3GKFCL6KBQA3CNI4I7GG/events.json","paper":"https://pith.science/paper/7QWTWV3G"},"agent_actions":{"view_html":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG","download_json":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG.json","view_paper":"https://pith.science/paper/7QWTWV3G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.09763&json=true","fetch_graph":"https://pith.science/api/pith-number/7QWTWV3GKFCL6KBQA3CNI4I7GG/graph.json","fetch_events":"https://pith.science/api/pith-number/7QWTWV3GKFCL6KBQA3CNI4I7GG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG/action/storage_attestation","attest_author":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG/action/author_attestation","sign_citation":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG/action/citation_signature","submit_replication":"https://pith.science/pith/7QWTWV3GKFCL6KBQA3CNI4I7GG/action/replication_record"}},"created_at":"2026-07-05T06:42:46.527469+00:00","updated_at":"2026-07-05T06:42:46.527469+00:00"}