{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:YT3TMDVSDCT3AVKBVGKYCZBJE2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d6b67039a181060a8e60b804e42c5ece8705982f082ff4c0a97343a227af30e9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T06:02:04Z","title_canon_sha256":"86536b7cc563e6082c0157faa01daba694d21ae614d35d8e7b8d3d6e7a18ec2f"},"schema_version":"1.0","source":{"id":"gr-qc/9912058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9912058","created_at":"2026-07-04T14:26:25Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9912058v1","created_at":"2026-07-04T14:26:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9912058","created_at":"2026-07-04T14:26:25Z"},{"alias_kind":"pith_short_12","alias_value":"YT3TMDVSDCT3","created_at":"2026-07-04T14:26:25Z"},{"alias_kind":"pith_short_16","alias_value":"YT3TMDVSDCT3AVKB","created_at":"2026-07-04T14:26:25Z"},{"alias_kind":"pith_short_8","alias_value":"YT3TMDVS","created_at":"2026-07-04T14:26:25Z"}],"graph_snapshots":[{"event_id":"sha256:50a6f0dd4ba38518b727e7bfdbb54359f9da20f891860c2bec9e315377725891","target":"graph","created_at":"2026-07-04T14:26:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/9912058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Traditional approaches to energy-momentum localization led to reference frame dependent pseudotensors. The more modern idea is quasilocal energy-momentum. We take a Hamiltonian approach. The Hamiltonian boundary term gives not only the quasilocal values but also boundary conditions via the Hamiltonian variation boundary principle. Selecting a Hamiltonian boundary term involves several choices. We found that superpotentials can serve as Hamiltonian boundary terms, consequently pseudotensors are actually quasilocal and legitimate. Various Hamiltonian boundary term quasilocal expressions are cons","authors_text":"Chia-Chen Chang, Chiang-Mei Chen, James M. Nester","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T06:02:04Z","title":"Energy-Momentum (Quasi-)Localization for Gravitating Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9912058","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:57e5f098a0686259a208b6e09e1e425c0e7360328f295c1ee68f128a540c6507","target":"record","created_at":"2026-07-04T14:26:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d6b67039a181060a8e60b804e42c5ece8705982f082ff4c0a97343a227af30e9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T06:02:04Z","title_canon_sha256":"86536b7cc563e6082c0157faa01daba694d21ae614d35d8e7b8d3d6e7a18ec2f"},"schema_version":"1.0","source":{"id":"gr-qc/9912058","kind":"arxiv","version":1}},"canonical_sha256":"c4f7360eb218a7b05541a9958164292683e59a12042c07f882b7c7a1316044ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4f7360eb218a7b05541a9958164292683e59a12042c07f882b7c7a1316044ab","first_computed_at":"2026-07-04T14:26:25.673839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:26:25.673839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KXOI2n+WCZKLgu0n1doJw+swrbC0bigjFGV4e4Y/Dj5bXukmVuPg/qjz1qhIEPlrLfj/PCHQPpRZuyjoJxOjBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:26:25.674237Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9912058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57e5f098a0686259a208b6e09e1e425c0e7360328f295c1ee68f128a540c6507","sha256:50a6f0dd4ba38518b727e7bfdbb54359f9da20f891860c2bec9e315377725891"],"state_sha256":"1d9b297759e420f1217d68545341bd25f1d6345dd53a9ee335ea4cbcc020d4ef"}