{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IP72WZZK63WUO7NJNTA4MPBV2E","short_pith_number":"pith:IP72WZZK","schema_version":"1.0","canonical_sha256":"43ffab672af6ed477da96cc1c63c35d1157dccffcb868a32bfaa393dfd255549","source":{"kind":"arxiv","id":"2412.02470","version":1},"attestation_state":"computed","paper":{"title":"Formulation and Proof of the Gravitational Entropy Bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Artem Averin","submitted_at":"2024-12-03T14:25:09Z","abstract_excerpt":"We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory's phase space. If this framework is applied to a field theory on a spacetime foliated by a hypersurface $\\Sigma,$ the choice of a codimension-2 surface $B$ without boundary contained in $\\Sigma$ specifies a submanifold in the phase space. We show here that this submanifold is naturally restricted to obey an entropy bound if the field theory is diffeomorphism-invariant. We prove this rest"},"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":"2412.02470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-03T14:25:09Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"60ee7659ba8cbb95ff88fcae5c87007292016e9de28a4fc83ff914006f61de04","abstract_canon_sha256":"fba293296cbcd0c948e0fc3240da8e17b441c3e0bfc28cf0e838994583627206"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:43:50.405276Z","signature_b64":"j7bx8AvoPYTpZ7VHPgNEem8dycnj/dbB5JKCTzdPNxq4PiMkcO6NUj7KFKXt3Aytemd4ww7ocH+YOQjzipsmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43ffab672af6ed477da96cc1c63c35d1157dccffcb868a32bfaa393dfd255549","last_reissued_at":"2026-07-05T09:43:50.404689Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:43:50.404689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Formulation and Proof of the Gravitational Entropy Bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Artem Averin","submitted_at":"2024-12-03T14:25:09Z","abstract_excerpt":"We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory's phase space. If this framework is applied to a field theory on a spacetime foliated by a hypersurface $\\Sigma,$ the choice of a codimension-2 surface $B$ without boundary contained in $\\Sigma$ specifies a submanifold in the phase space. We show here that this submanifold is naturally restricted to obey an entropy bound if the field theory is diffeomorphism-invariant. We prove this rest"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.02470","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/2412.02470/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":"2412.02470","created_at":"2026-07-05T09:43:50.404758+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.02470v1","created_at":"2026-07-05T09:43:50.404758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.02470","created_at":"2026-07-05T09:43:50.404758+00:00"},{"alias_kind":"pith_short_12","alias_value":"IP72WZZK63WU","created_at":"2026-07-05T09:43:50.404758+00:00"},{"alias_kind":"pith_short_16","alias_value":"IP72WZZK63WUO7NJ","created_at":"2026-07-05T09:43:50.404758+00:00"},{"alias_kind":"pith_short_8","alias_value":"IP72WZZK","created_at":"2026-07-05T09:43:50.404758+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.14876","citing_title":"Obstructions to unirationality for product-quotient surfaces over $\\overline{\\mathbb{F}}_p$","ref_index":2,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E","json":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E.json","graph_json":"https://pith.science/api/pith-number/IP72WZZK63WUO7NJNTA4MPBV2E/graph.json","events_json":"https://pith.science/api/pith-number/IP72WZZK63WUO7NJNTA4MPBV2E/events.json","paper":"https://pith.science/paper/IP72WZZK"},"agent_actions":{"view_html":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E","download_json":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E.json","view_paper":"https://pith.science/paper/IP72WZZK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.02470&json=true","fetch_graph":"https://pith.science/api/pith-number/IP72WZZK63WUO7NJNTA4MPBV2E/graph.json","fetch_events":"https://pith.science/api/pith-number/IP72WZZK63WUO7NJNTA4MPBV2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E/action/storage_attestation","attest_author":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E/action/author_attestation","sign_citation":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E/action/citation_signature","submit_replication":"https://pith.science/pith/IP72WZZK63WUO7NJNTA4MPBV2E/action/replication_record"}},"created_at":"2026-07-05T09:43:50.404758+00:00","updated_at":"2026-07-05T09:43:50.404758+00:00"}