{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:QB5M2UPOCWPWWAH7J4WUNVU5OK","short_pith_number":"pith:QB5M2UPO","schema_version":"1.0","canonical_sha256":"807acd51ee159f6b00ff4f2d46d69d72b380512dab0794badf81379f48325c24","source":{"kind":"arxiv","id":"0901.2400","version":1},"attestation_state":"computed","paper":{"title":"New positive small vacuum region gravitational energy expressions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"James M. Nester, Lau Loi So","submitted_at":"2009-01-16T06:15:31Z","abstract_excerpt":"We construct an infinite number of new holonomic quasi-local gravitational energy-momentum density pseudotensors with good limits asymptotically and in small regions, both materially and in vacuum. For small vacuum regions they are all a positive multiple of the Bel-Robinson tensor and consequently have positive energy."},"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":"0901.2400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-16T06:15:31Z","cross_cats_sorted":[],"title_canon_sha256":"b40f43a095e462a3844a4c3f0173283997d7950226512098e2c41d8c82516378","abstract_canon_sha256":"17fc0a3fd9dcad274173d18efb4fb0bd14ede96ab9cb48dcad68839ae9bb4019"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:26:16.206334Z","signature_b64":"U4gDWVcgnkZ7fgNH44IdPZ9QkoC728axrOwGIXNg7BwT4j430qcRAxz84WgZ28Sj+Ifi4JxwzgU4icH9/0ICCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"807acd51ee159f6b00ff4f2d46d69d72b380512dab0794badf81379f48325c24","last_reissued_at":"2026-07-04T17:26:16.205958Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:26:16.205958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New positive small vacuum region gravitational energy expressions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"James M. Nester, Lau Loi So","submitted_at":"2009-01-16T06:15:31Z","abstract_excerpt":"We construct an infinite number of new holonomic quasi-local gravitational energy-momentum density pseudotensors with good limits asymptotically and in small regions, both materially and in vacuum. For small vacuum regions they are all a positive multiple of the Bel-Robinson tensor and consequently have positive energy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2400","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/0901.2400/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":"0901.2400","created_at":"2026-07-04T17:26:16.206017+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.2400v1","created_at":"2026-07-04T17:26:16.206017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2400","created_at":"2026-07-04T17:26:16.206017+00:00"},{"alias_kind":"pith_short_12","alias_value":"QB5M2UPOCWPW","created_at":"2026-07-04T17:26:16.206017+00:00"},{"alias_kind":"pith_short_16","alias_value":"QB5M2UPOCWPWWAH7","created_at":"2026-07-04T17:26:16.206017+00:00"},{"alias_kind":"pith_short_8","alias_value":"QB5M2UPO","created_at":"2026-07-04T17:26:16.206017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK","json":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK.json","graph_json":"https://pith.science/api/pith-number/QB5M2UPOCWPWWAH7J4WUNVU5OK/graph.json","events_json":"https://pith.science/api/pith-number/QB5M2UPOCWPWWAH7J4WUNVU5OK/events.json","paper":"https://pith.science/paper/QB5M2UPO"},"agent_actions":{"view_html":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK","download_json":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK.json","view_paper":"https://pith.science/paper/QB5M2UPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.2400&json=true","fetch_graph":"https://pith.science/api/pith-number/QB5M2UPOCWPWWAH7J4WUNVU5OK/graph.json","fetch_events":"https://pith.science/api/pith-number/QB5M2UPOCWPWWAH7J4WUNVU5OK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK/action/storage_attestation","attest_author":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK/action/author_attestation","sign_citation":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK/action/citation_signature","submit_replication":"https://pith.science/pith/QB5M2UPOCWPWWAH7J4WUNVU5OK/action/replication_record"}},"created_at":"2026-07-04T17:26:16.206017+00:00","updated_at":"2026-07-04T17:26:16.206017+00:00"}