{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4MS5TE47RE32GFCWJA4DVYBFD4","short_pith_number":"pith:4MS5TE47","schema_version":"1.0","canonical_sha256":"e325d9939f8937a3145648383ae0251f20ba762e9270f179522475e0402868d7","source":{"kind":"arxiv","id":"1210.6148","version":1},"attestation_state":"computed","paper":{"title":"A reference for the covariant Hamiltonian boundary term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chiang-Mei Chen, Gang Sun, James M. Nester, Jian-Liang Liu","submitted_at":"2012-10-23T07:18:27Z","abstract_excerpt":"The Hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which determines both the value of the Hamiltonian and the boundary conditions. The value gives the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. The boundary term depends not only on the dynamical variables but also on their reference values; the latter determine the ground state (having vanishing quasi-local quantities). For our preferred boundary term for Einstein's GR we propose 4D isometric matching and extremizing the energy to det"},"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":"1210.6148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-23T07:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"a5797ec75ded6216b551610bac49c44b8b57e1e9ac7817ec731ed4a5e6a73fcb","abstract_canon_sha256":"9f8e8a09e997947d220e01fce9c772b5e16c11dc6bac348e3782454e52170a41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:33.092828Z","signature_b64":"9XEgPg3k6QHYp/Q7gZXMWUMq00J6uN1sSvbVwTW0bLBRaU+yJNvh/2l2vnbNI6xNvM/iGHL86ulj2Uhll7MPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e325d9939f8937a3145648383ae0251f20ba762e9270f179522475e0402868d7","last_reissued_at":"2026-05-18T03:42:33.092158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:33.092158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A reference for the covariant Hamiltonian boundary term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chiang-Mei Chen, Gang Sun, James M. Nester, Jian-Liang Liu","submitted_at":"2012-10-23T07:18:27Z","abstract_excerpt":"The Hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which determines both the value of the Hamiltonian and the boundary conditions. The value gives the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. The boundary term depends not only on the dynamical variables but also on their reference values; the latter determine the ground state (having vanishing quasi-local quantities). For our preferred boundary term for Einstein's GR we propose 4D isometric matching and extremizing the energy to det"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6148","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":"1210.6148","created_at":"2026-05-18T03:42:33.092272+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.6148v1","created_at":"2026-05-18T03:42:33.092272+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6148","created_at":"2026-05-18T03:42:33.092272+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MS5TE47RE32","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MS5TE47RE32GFCW","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MS5TE47","created_at":"2026-05-18T12:26:53.410803+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/4MS5TE47RE32GFCWJA4DVYBFD4","json":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4.json","graph_json":"https://pith.science/api/pith-number/4MS5TE47RE32GFCWJA4DVYBFD4/graph.json","events_json":"https://pith.science/api/pith-number/4MS5TE47RE32GFCWJA4DVYBFD4/events.json","paper":"https://pith.science/paper/4MS5TE47"},"agent_actions":{"view_html":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4","download_json":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4.json","view_paper":"https://pith.science/paper/4MS5TE47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.6148&json=true","fetch_graph":"https://pith.science/api/pith-number/4MS5TE47RE32GFCWJA4DVYBFD4/graph.json","fetch_events":"https://pith.science/api/pith-number/4MS5TE47RE32GFCWJA4DVYBFD4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4/action/storage_attestation","attest_author":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4/action/author_attestation","sign_citation":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4/action/citation_signature","submit_replication":"https://pith.science/pith/4MS5TE47RE32GFCWJA4DVYBFD4/action/replication_record"}},"created_at":"2026-05-18T03:42:33.092272+00:00","updated_at":"2026-05-18T03:42:33.092272+00:00"}