{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:6A6RG2UKEK2Z5LC4QYAFURB4FS","short_pith_number":"pith:6A6RG2UK","canonical_record":{"source":{"id":"gr-qc/0609079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-20T12:34:57Z","cross_cats_sorted":[],"title_canon_sha256":"18c45e4cc129fb86ad48bad4d2ddec9cdb69786b4ad46103f3eb729690fffa5f","abstract_canon_sha256":"074898b72bd883ff635e207a926e70b26d168fa1597c64fcf24f1910c56f4975"},"schema_version":"1.0"},"canonical_sha256":"f03d136a8a22b59eac5c86005a443c2cb42bac6b19fe357baeaf2b5ab587e1b5","source":{"kind":"arxiv","id":"gr-qc/0609079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0609079","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0609079v1","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0609079","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"6A6RG2UKEK2Z","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_16","alias_value":"6A6RG2UKEK2Z5LC4","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_8","alias_value":"6A6RG2UK","created_at":"2026-07-04T15:19:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:6A6RG2UKEK2Z5LC4QYAFURB4FS","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0609079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-20T12:34:57Z","cross_cats_sorted":[],"title_canon_sha256":"18c45e4cc129fb86ad48bad4d2ddec9cdb69786b4ad46103f3eb729690fffa5f","abstract_canon_sha256":"074898b72bd883ff635e207a926e70b26d168fa1597c64fcf24f1910c56f4975"},"schema_version":"1.0"},"canonical_sha256":"f03d136a8a22b59eac5c86005a443c2cb42bac6b19fe357baeaf2b5ab587e1b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:19:20.570412Z","signature_b64":"yIlw5nAUKtaokg0N2Zkb9zz9H2FPsifVBnPnQT3x/hOJ6HrjmmJ2KRG4Wq+BBVlmvU4enf65IialaL0B7GYVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f03d136a8a22b59eac5c86005a443c2cb42bac6b19fe357baeaf2b5ab587e1b5","last_reissued_at":"2026-07-04T15:19:20.570025Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:19:20.570025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0609079","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ENceSq0fXb2uonOAfXKsbnQv9V4mpm55mXGA10olLlRlWiDUIhBzex8YJ91KoVMMAgMdkwvHLuJdAX316AAVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:13:00.133696Z"},"content_sha256":"fe8236c696209b2d7eb3538479b1dd8720980fb0b8de032bf101471956da695b","schema_version":"1.0","event_id":"sha256:fe8236c696209b2d7eb3538479b1dd8720980fb0b8de032bf101471956da695b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:6A6RG2UKEK2Z5LC4QYAFURB4FS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simple expression for the ADM mass","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Leo Brewin","submitted_at":"2006-09-20T12:34:57Z","abstract_excerpt":"We show by an almost elementary calculation that the ADM mass of an asymptotically flat space can be computed as a limit involving a rate of change of area of a closed 2-surface. The result is essentially the same as that given by Brown and York. We will prove this result in two ways, first by direct calculation from the original formula as given by Arnowitt, Deser and Misner and second as a corollary of an earlier result by Brewin for the case of simplicial spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0609079","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/gr-qc/0609079/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ktTQ86hF3GOhdAT1qwFF7QdIj33o4QfEofdn2fc7XKTcelhUDEfh5/Hbvoem0hSmxnimF09z82+nDKtFeE7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:13:00.134604Z"},"content_sha256":"369ca4a2d0536b31becdd3cdf1d6ca1846fa64c8e105adb6e18f1e9db3677f13","schema_version":"1.0","event_id":"sha256:369ca4a2d0536b31becdd3cdf1d6ca1846fa64c8e105adb6e18f1e9db3677f13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/bundle.json","state_url":"https://pith.science/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-15T14:13:00Z","links":{"resolver":"https://pith.science/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS","bundle":"https://pith.science/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/bundle.json","state":"https://pith.science/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6A6RG2UKEK2Z5LC4QYAFURB4FS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:6A6RG2UKEK2Z5LC4QYAFURB4FS","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":"074898b72bd883ff635e207a926e70b26d168fa1597c64fcf24f1910c56f4975","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-20T12:34:57Z","title_canon_sha256":"18c45e4cc129fb86ad48bad4d2ddec9cdb69786b4ad46103f3eb729690fffa5f"},"schema_version":"1.0","source":{"id":"gr-qc/0609079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0609079","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0609079v1","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0609079","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"6A6RG2UKEK2Z","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_16","alias_value":"6A6RG2UKEK2Z5LC4","created_at":"2026-07-04T15:19:20Z"},{"alias_kind":"pith_short_8","alias_value":"6A6RG2UK","created_at":"2026-07-04T15:19:20Z"}],"graph_snapshots":[{"event_id":"sha256:369ca4a2d0536b31becdd3cdf1d6ca1846fa64c8e105adb6e18f1e9db3677f13","target":"graph","created_at":"2026-07-04T15:19:20Z","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/0609079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show by an almost elementary calculation that the ADM mass of an asymptotically flat space can be computed as a limit involving a rate of change of area of a closed 2-surface. The result is essentially the same as that given by Brown and York. We will prove this result in two ways, first by direct calculation from the original formula as given by Arnowitt, Deser and Misner and second as a corollary of an earlier result by Brewin for the case of simplicial spaces.","authors_text":"Leo Brewin","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-09-20T12:34:57Z","title":"A simple expression for the ADM mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0609079","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:fe8236c696209b2d7eb3538479b1dd8720980fb0b8de032bf101471956da695b","target":"record","created_at":"2026-07-04T15:19:20Z","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":"074898b72bd883ff635e207a926e70b26d168fa1597c64fcf24f1910c56f4975","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-09-20T12:34:57Z","title_canon_sha256":"18c45e4cc129fb86ad48bad4d2ddec9cdb69786b4ad46103f3eb729690fffa5f"},"schema_version":"1.0","source":{"id":"gr-qc/0609079","kind":"arxiv","version":1}},"canonical_sha256":"f03d136a8a22b59eac5c86005a443c2cb42bac6b19fe357baeaf2b5ab587e1b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f03d136a8a22b59eac5c86005a443c2cb42bac6b19fe357baeaf2b5ab587e1b5","first_computed_at":"2026-07-04T15:19:20.570025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:19:20.570025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yIlw5nAUKtaokg0N2Zkb9zz9H2FPsifVBnPnQT3x/hOJ6HrjmmJ2KRG4Wq+BBVlmvU4enf65IialaL0B7GYVBg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:19:20.570412Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0609079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe8236c696209b2d7eb3538479b1dd8720980fb0b8de032bf101471956da695b","sha256:369ca4a2d0536b31becdd3cdf1d6ca1846fa64c8e105adb6e18f1e9db3677f13"],"state_sha256":"9de9828d9b18cc125351c9b68c920ccbf8704e4e9afffcdea164b0f745d033fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xoTaUqdbPhw7u9geByI6dzP/yONQhYDicQ/UlRECj+R45+qwZKJPFa2YLSLOh5/FzXt49u8ZPN9uS044QM2NCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T14:13:00.141017Z","bundle_sha256":"65089a8da88845dbc2d10cbf25b56515dae4aba482e56a38a014c58a6f78fe14"}}