{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PNRE5S4JINMSIXGD5V5R2LTGIW","short_pith_number":"pith:PNRE5S4J","schema_version":"1.0","canonical_sha256":"7b624ecb894359245cc3ed7b1d2e66459daf9faac20e632b83d6989863243059","source":{"kind":"arxiv","id":"2104.13420","version":2},"attestation_state":"computed","paper":{"title":"Continuity equations for general matter: applications in numerical relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Katy Clough","submitted_at":"2021-04-27T18:35:23Z","abstract_excerpt":"Due to the absence of symmetries under time and spatial translations in a general curved spacetime, the energy and momentum of matter is not conserved as it is in flat space. This means, for example, that the flux of matter energy through a surface is in general not balanced by an equal increase in the energy of the matter contained within the enclosed volume - there is an additional \"source\" resulting from the curvature of spacetime acting on the matter (and vice versa). One can calculate this source term and reconcile the flux and energy accumulation over time in an arbitrary volume, althoug"},"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":"2104.13420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-04-27T18:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"4cf82afa0e5322ffb61d8bdfb158523b1b188543798833206f9b2fec4a58feed","abstract_canon_sha256":"2bea0878614120c1c22c0f17403918a8e31030972e2f5333131397e85cf805e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:19:43.294240Z","signature_b64":"/Yh/+s8pYUQ+7b+2xcj2pOeioCSt26Zbp/Znl3ZBOn41mbhr0VSSbCyW6wd3b66rbdZw8VcoVy8cBPmG0qYzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b624ecb894359245cc3ed7b1d2e66459daf9faac20e632b83d6989863243059","last_reissued_at":"2026-07-05T03:19:43.293759Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:19:43.293759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuity equations for general matter: applications in numerical relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Katy Clough","submitted_at":"2021-04-27T18:35:23Z","abstract_excerpt":"Due to the absence of symmetries under time and spatial translations in a general curved spacetime, the energy and momentum of matter is not conserved as it is in flat space. This means, for example, that the flux of matter energy through a surface is in general not balanced by an equal increase in the energy of the matter contained within the enclosed volume - there is an additional \"source\" resulting from the curvature of spacetime acting on the matter (and vice versa). One can calculate this source term and reconcile the flux and energy accumulation over time in an arbitrary volume, althoug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13420","kind":"arxiv","version":2},"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/2104.13420/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":"2104.13420","created_at":"2026-07-05T03:19:43.293824+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.13420v2","created_at":"2026-07-05T03:19:43.293824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13420","created_at":"2026-07-05T03:19:43.293824+00:00"},{"alias_kind":"pith_short_12","alias_value":"PNRE5S4JINMS","created_at":"2026-07-05T03:19:43.293824+00:00"},{"alias_kind":"pith_short_16","alias_value":"PNRE5S4JINMSIXGD","created_at":"2026-07-05T03:19:43.293824+00:00"},{"alias_kind":"pith_short_8","alias_value":"PNRE5S4J","created_at":"2026-07-05T03:19:43.293824+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.21439","citing_title":"Relativistic effects in extreme-mass-ratio inspirals within scalar clouds: Eccentric and inclined orbits","ref_index":91,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03756","citing_title":"Resonances as signatures of scalar clouds in eccentric extreme-mass-ratio inspirals","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03756","citing_title":"Resonances as signatures of scalar clouds in eccentric extreme-mass-ratio inspirals","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW","json":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW.json","graph_json":"https://pith.science/api/pith-number/PNRE5S4JINMSIXGD5V5R2LTGIW/graph.json","events_json":"https://pith.science/api/pith-number/PNRE5S4JINMSIXGD5V5R2LTGIW/events.json","paper":"https://pith.science/paper/PNRE5S4J"},"agent_actions":{"view_html":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW","download_json":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW.json","view_paper":"https://pith.science/paper/PNRE5S4J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.13420&json=true","fetch_graph":"https://pith.science/api/pith-number/PNRE5S4JINMSIXGD5V5R2LTGIW/graph.json","fetch_events":"https://pith.science/api/pith-number/PNRE5S4JINMSIXGD5V5R2LTGIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW/action/storage_attestation","attest_author":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW/action/author_attestation","sign_citation":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW/action/citation_signature","submit_replication":"https://pith.science/pith/PNRE5S4JINMSIXGD5V5R2LTGIW/action/replication_record"}},"created_at":"2026-07-05T03:19:43.293824+00:00","updated_at":"2026-07-05T03:19:43.293824+00:00"}