{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:UJJEPP52QUKUGXI442TO62EZ6E","short_pith_number":"pith:UJJEPP52","schema_version":"1.0","canonical_sha256":"a25247bfba8515435d1ce6a6ef6899f118d6ab24c9ba0723f09eb0b67c32fa1b","source":{"kind":"arxiv","id":"2201.09557","version":1},"attestation_state":"computed","paper":{"title":"Conserved non-Noether charge in general relativity: Physical definition vs. Noether's 2nd theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Sinya Aoki, Tetsuya Onogi","submitted_at":"2022-01-24T09:57:56Z","abstract_excerpt":"In this paper, we make a close comparison of a covariant definition of an energy/entropy in general relativity, recently proposed by a collaboration including the present authors, with existing definitions of energies such as the one from the pseudo-tensor and the quasi-local energy. We show that existing definitions of energies in general relativity are conserved charges from the Noether's 2nd theorem for the general coordinate transformation, whose conservations are merely identities implied by the local symmetry and always hold without using equations of motion. Thus none of existing defini"},"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":"2201.09557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-24T09:57:56Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"a8db2233308a23dffa6207e88e93c668f109f814d8b231b238998cf217423483","abstract_canon_sha256":"58269d3145b8516067dbd243c95e99d0e5c90b0973b5a967bd4619b3d9de6e4a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:14:10.514113Z","signature_b64":"HJiQgwrHgs3kxGqoV0gWHpxajhzGnWYc6rgXIvq+x9VswLGz/+rjest5mBpmsqBOo/G21AiFIxLsAAngeNKUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a25247bfba8515435d1ce6a6ef6899f118d6ab24c9ba0723f09eb0b67c32fa1b","last_reissued_at":"2026-07-05T05:14:10.513520Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:14:10.513520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conserved non-Noether charge in general relativity: Physical definition vs. Noether's 2nd theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Sinya Aoki, Tetsuya Onogi","submitted_at":"2022-01-24T09:57:56Z","abstract_excerpt":"In this paper, we make a close comparison of a covariant definition of an energy/entropy in general relativity, recently proposed by a collaboration including the present authors, with existing definitions of energies such as the one from the pseudo-tensor and the quasi-local energy. We show that existing definitions of energies in general relativity are conserved charges from the Noether's 2nd theorem for the general coordinate transformation, whose conservations are merely identities implied by the local symmetry and always hold without using equations of motion. Thus none of existing defini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09557","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/2201.09557/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":"2201.09557","created_at":"2026-07-05T05:14:10.513584+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.09557v1","created_at":"2026-07-05T05:14:10.513584+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09557","created_at":"2026-07-05T05:14:10.513584+00:00"},{"alias_kind":"pith_short_12","alias_value":"UJJEPP52QUKU","created_at":"2026-07-05T05:14:10.513584+00:00"},{"alias_kind":"pith_short_16","alias_value":"UJJEPP52QUKUGXI4","created_at":"2026-07-05T05:14:10.513584+00:00"},{"alias_kind":"pith_short_8","alias_value":"UJJEPP52","created_at":"2026-07-05T05:14:10.513584+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08088","citing_title":"An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole","ref_index":59,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E","json":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E.json","graph_json":"https://pith.science/api/pith-number/UJJEPP52QUKUGXI442TO62EZ6E/graph.json","events_json":"https://pith.science/api/pith-number/UJJEPP52QUKUGXI442TO62EZ6E/events.json","paper":"https://pith.science/paper/UJJEPP52"},"agent_actions":{"view_html":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E","download_json":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E.json","view_paper":"https://pith.science/paper/UJJEPP52","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.09557&json=true","fetch_graph":"https://pith.science/api/pith-number/UJJEPP52QUKUGXI442TO62EZ6E/graph.json","fetch_events":"https://pith.science/api/pith-number/UJJEPP52QUKUGXI442TO62EZ6E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E/action/storage_attestation","attest_author":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E/action/author_attestation","sign_citation":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E/action/citation_signature","submit_replication":"https://pith.science/pith/UJJEPP52QUKUGXI442TO62EZ6E/action/replication_record"}},"created_at":"2026-07-05T05:14:10.513584+00:00","updated_at":"2026-07-05T05:14:10.513584+00:00"}