{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TCJUNSV6FKZ23SNETLCID5RKCD","short_pith_number":"pith:TCJUNSV6","schema_version":"1.0","canonical_sha256":"989346cabe2ab3adc9a49ac481f62a10f8e5b19042c2862a509a8d36e58542aa","source":{"kind":"arxiv","id":"1406.5990","version":1},"attestation_state":"computed","paper":{"title":"The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Claudio Gomes, Orfeu Bertolami","submitted_at":"2014-06-23T17:20:42Z","abstract_excerpt":"We derive the Layzer-Irvine equation for alternative gravitational theories with non-minimal coupling between curvature and matter for an homogeneous and isotropic Universe. As an application, we study the case of Abell 586, a relaxed and spherically symmetric galaxy cluster, assuming some matter density profiles."},"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":"1406.5990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-06-23T17:20:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"942d07ece109773d09a83a821bc5aec74e673d6e3c254ab22957537abe61ec43","abstract_canon_sha256":"ee11001e8b6a906f47f325981ab1c45429a22c39dd01727488233e8c9700c957"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:51.473593Z","signature_b64":"a8ksE5zaIOxIrdGP/18PfX7xSDnM+Ddyv2X0cUQZsVlL29T7/x72vzuud1bgO1jRNScgZhBsPRpR+jy0igGECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"989346cabe2ab3adc9a49ac481f62a10f8e5b19042c2862a509a8d36e58542aa","last_reissued_at":"2026-05-18T01:42:51.472713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:51.472713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Claudio Gomes, Orfeu Bertolami","submitted_at":"2014-06-23T17:20:42Z","abstract_excerpt":"We derive the Layzer-Irvine equation for alternative gravitational theories with non-minimal coupling between curvature and matter for an homogeneous and isotropic Universe. As an application, we study the case of Abell 586, a relaxed and spherically symmetric galaxy cluster, assuming some matter density profiles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5990","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":"1406.5990","created_at":"2026-05-18T01:42:51.472838+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.5990v1","created_at":"2026-05-18T01:42:51.472838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5990","created_at":"2026-05-18T01:42:51.472838+00:00"},{"alias_kind":"pith_short_12","alias_value":"TCJUNSV6FKZ2","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TCJUNSV6FKZ23SNE","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TCJUNSV6","created_at":"2026-05-18T12:28:49.207871+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/TCJUNSV6FKZ23SNETLCID5RKCD","json":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD.json","graph_json":"https://pith.science/api/pith-number/TCJUNSV6FKZ23SNETLCID5RKCD/graph.json","events_json":"https://pith.science/api/pith-number/TCJUNSV6FKZ23SNETLCID5RKCD/events.json","paper":"https://pith.science/paper/TCJUNSV6"},"agent_actions":{"view_html":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD","download_json":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD.json","view_paper":"https://pith.science/paper/TCJUNSV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.5990&json=true","fetch_graph":"https://pith.science/api/pith-number/TCJUNSV6FKZ23SNETLCID5RKCD/graph.json","fetch_events":"https://pith.science/api/pith-number/TCJUNSV6FKZ23SNETLCID5RKCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD/action/storage_attestation","attest_author":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD/action/author_attestation","sign_citation":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD/action/citation_signature","submit_replication":"https://pith.science/pith/TCJUNSV6FKZ23SNETLCID5RKCD/action/replication_record"}},"created_at":"2026-05-18T01:42:51.472838+00:00","updated_at":"2026-05-18T01:42:51.472838+00:00"}