{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ODBTU4HOKNMMMPJJURJ5BOJQXR","short_pith_number":"pith:ODBTU4HO","schema_version":"1.0","canonical_sha256":"70c33a70ee5358c63d29a453d0b930bc49e1bd193b81349fcd25cb1cad1c6eb1","source":{"kind":"arxiv","id":"1405.7883","version":1},"attestation_state":"computed","paper":{"title":"The modification of the Bel-Robinson type energy-momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lau Loi So","submitted_at":"2014-05-30T14:58:36Z","abstract_excerpt":"For describing the non-negative gravitational energy-momentum in terms of a pure Bel-Robinson type energy-momentum in a quasi-local 2-surface, both the Bel-Robinson tensor $B$ and tensor $V$ are suitable. We have found that this Bel-Robinson type energy-momentum can be modified such that it satisfies the Lorentz covariant, future pointing and non-spacelike properties. We find that these particular quasi-local energy-momentum properties can be obtained from (i): $B$ or $V$ plus a tensor $S$ in a small sphere limit, or (ii): directly evaluating the energy-momentum of $B$ or $V$ in a small ellips"},"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":"1405.7883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-30T14:58:36Z","cross_cats_sorted":[],"title_canon_sha256":"a33a2c71933ea05e8da9be696fed6c8a4baf94215424735570687a8b567d9944","abstract_canon_sha256":"49d02ccd5ff5cee22c8c8d6a32e40e6f34e913b80f2bba4970b99ff01f9feec4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:43.822065Z","signature_b64":"QimjS4tguqm0Kk8JXINqFmZmAd4sB5iq5vC48y/6C+T2K5jzNpyLWwAwSldLuPkgnp5DMOOllywQs9jeOmd0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70c33a70ee5358c63d29a453d0b930bc49e1bd193b81349fcd25cb1cad1c6eb1","last_reissued_at":"2026-05-18T02:50:43.821558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:43.821558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The modification of the Bel-Robinson type energy-momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lau Loi So","submitted_at":"2014-05-30T14:58:36Z","abstract_excerpt":"For describing the non-negative gravitational energy-momentum in terms of a pure Bel-Robinson type energy-momentum in a quasi-local 2-surface, both the Bel-Robinson tensor $B$ and tensor $V$ are suitable. We have found that this Bel-Robinson type energy-momentum can be modified such that it satisfies the Lorentz covariant, future pointing and non-spacelike properties. We find that these particular quasi-local energy-momentum properties can be obtained from (i): $B$ or $V$ plus a tensor $S$ in a small sphere limit, or (ii): directly evaluating the energy-momentum of $B$ or $V$ in a small ellips"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7883","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":""},"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":"1405.7883","created_at":"2026-05-18T02:50:43.821623+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.7883v1","created_at":"2026-05-18T02:50:43.821623+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7883","created_at":"2026-05-18T02:50:43.821623+00:00"},{"alias_kind":"pith_short_12","alias_value":"ODBTU4HOKNMM","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"ODBTU4HOKNMMMPJJ","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"ODBTU4HO","created_at":"2026-05-18T12:28:41.024544+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/ODBTU4HOKNMMMPJJURJ5BOJQXR","json":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR.json","graph_json":"https://pith.science/api/pith-number/ODBTU4HOKNMMMPJJURJ5BOJQXR/graph.json","events_json":"https://pith.science/api/pith-number/ODBTU4HOKNMMMPJJURJ5BOJQXR/events.json","paper":"https://pith.science/paper/ODBTU4HO"},"agent_actions":{"view_html":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR","download_json":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR.json","view_paper":"https://pith.science/paper/ODBTU4HO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.7883&json=true","fetch_graph":"https://pith.science/api/pith-number/ODBTU4HOKNMMMPJJURJ5BOJQXR/graph.json","fetch_events":"https://pith.science/api/pith-number/ODBTU4HOKNMMMPJJURJ5BOJQXR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR/action/storage_attestation","attest_author":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR/action/author_attestation","sign_citation":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR/action/citation_signature","submit_replication":"https://pith.science/pith/ODBTU4HOKNMMMPJJURJ5BOJQXR/action/replication_record"}},"created_at":"2026-05-18T02:50:43.821623+00:00","updated_at":"2026-05-18T02:50:43.821623+00:00"}