{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:ATGNPP7TXTO4RQREUR2MB2H3IL","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":"2447d7a3a843fa8789247ab4af2c875b74c68da2f622b16ce8956384fc2ca7e4","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-03-02T12:38:03Z","title_canon_sha256":"e83eb50122379473a57688bee1b1aebd0c0ed746f86f2a9c78f842fc708c19f1"},"schema_version":"1.0","source":{"id":"gr-qc/9803010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9803010","created_at":"2026-07-04T15:29:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9803010v1","created_at":"2026-07-04T15:29:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9803010","created_at":"2026-07-04T15:29:20Z"},{"alias_kind":"pith_short_12","alias_value":"ATGNPP7TXTO4","created_at":"2026-07-04T15:29:20Z"},{"alias_kind":"pith_short_16","alias_value":"ATGNPP7TXTO4RQRE","created_at":"2026-07-04T15:29:20Z"},{"alias_kind":"pith_short_8","alias_value":"ATGNPP7T","created_at":"2026-07-04T15:29:20Z"}],"graph_snapshots":[{"event_id":"sha256:3a445961363d3d8b7d83d3d69350ecfd5f51182540bc0a1bc2d68ba83a372ca7","target":"graph","created_at":"2026-07-04T15:29:20Z","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/9803010/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is shown that the only functionals, within a natural class, which are monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri, are those depending on the metric only through a specific combination of the Bondi `mass aspect' and other next--to--leading order terms in the metric. Under the extra condition of passive BMS invariance, the unique such functional (up to a multiplicative factor) is the Trautman--Bondi energy. It is also shown that this energy remains well-defined for a wide class of `polyhomogeneous' metrics.","authors_text":"Jacek Jezierski, Malcolm A.H. MacCallum, Piotr T. Chru\\'sciel","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-03-02T12:38:03Z","title":"Uniqueness of the Trautman--Bondi mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9803010","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:ec7261efc5465a2de1142d07e692282307c12ebad6e3e1c63d8738908bc85048","target":"record","created_at":"2026-07-04T15:29:20Z","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":"2447d7a3a843fa8789247ab4af2c875b74c68da2f622b16ce8956384fc2ca7e4","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-03-02T12:38:03Z","title_canon_sha256":"e83eb50122379473a57688bee1b1aebd0c0ed746f86f2a9c78f842fc708c19f1"},"schema_version":"1.0","source":{"id":"gr-qc/9803010","kind":"arxiv","version":1}},"canonical_sha256":"04ccd7bff3bcddc8c224a474c0e8fb42e84a0146cf978c4f64e81bdc968a3889","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04ccd7bff3bcddc8c224a474c0e8fb42e84a0146cf978c4f64e81bdc968a3889","first_computed_at":"2026-07-04T15:29:20.794947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:29:20.794947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76k3Em7qxo9fu77NXEYG6tXaUUZEfqkvamJWy0yeUos4FGQIRsBxoONL1AhK0SQBUMilMOf+mwHr6n4bsBtuAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:29:20.795369Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9803010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec7261efc5465a2de1142d07e692282307c12ebad6e3e1c63d8738908bc85048","sha256:3a445961363d3d8b7d83d3d69350ecfd5f51182540bc0a1bc2d68ba83a372ca7"],"state_sha256":"b16434284bb1046188fed533e4fea9c8913f9c429df4dfbf2e19510deb5d585d"}