{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YZKPAVR2UGLGFNZPBHDHDNLGDF","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":"a91c391cebfeafb8716031168c49da8f11b62a192254474aea1b6f1a84c4a9a2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-28T16:51:56Z","title_canon_sha256":"19c6dd2aa81237c7e3845c934dd17a3d2288e99995845a4eda8f40a61ab08c08"},"schema_version":"1.0","source":{"id":"1202.6279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6279","created_at":"2026-05-18T04:01:03Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6279v2","created_at":"2026-05-18T04:01:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6279","created_at":"2026-05-18T04:01:03Z"},{"alias_kind":"pith_short_12","alias_value":"YZKPAVR2UGLG","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YZKPAVR2UGLGFNZP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YZKPAVR2","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:78c4f434ac2647edd650f36e6b95915178a4ab5360a60c4241ef559d15aabebd","target":"graph","created_at":"2026-05-18T04:01:03Z","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"},"paper":{"abstract_excerpt":"We observe that an analogue of the Positive Mass Theorem in the time-symmetric case for three-space-time-dimensional general relativity follows trivially from the Gauss-Bonnet theorem. In this case we also have that the spatial slice is diffeomorphic to $\\Real^2$.","authors_text":"Willie Wai-Yeung Wong","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-28T16:51:56Z","title":"A positive mass theorem for two spatial dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6279","kind":"arxiv","version":2},"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":"sha256:60edc8313cb95d54753b88c4ea927779c9a5d179eb6ccce2f3d7d3821d9084af","target":"record","created_at":"2026-05-18T04:01:03Z","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":"a91c391cebfeafb8716031168c49da8f11b62a192254474aea1b6f1a84c4a9a2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-28T16:51:56Z","title_canon_sha256":"19c6dd2aa81237c7e3845c934dd17a3d2288e99995845a4eda8f40a61ab08c08"},"schema_version":"1.0","source":{"id":"1202.6279","kind":"arxiv","version":2}},"canonical_sha256":"c654f0563aa19662b72f09c671b56619695aac357ddcea985f364b2d0145830a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c654f0563aa19662b72f09c671b56619695aac357ddcea985f364b2d0145830a","first_computed_at":"2026-05-18T04:01:03.483113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:03.483113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o0d+PkZIvY/PwPzUCEnsNIbyqxLDh9MZs8FN6xkiX6PYQ7MZwUet2DOdoUOllipAHEIX6n+XC6Ja5eV3cHTbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:03.483732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60edc8313cb95d54753b88c4ea927779c9a5d179eb6ccce2f3d7d3821d9084af","sha256:78c4f434ac2647edd650f36e6b95915178a4ab5360a60c4241ef559d15aabebd"],"state_sha256":"39693731702af2638db0e124e767e8c6bf8f9cd1e119a04b3dfa289d40f67b16"}