{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4HKLHLXRTD4Y6XOGEKA3FU3KAT","short_pith_number":"pith:4HKLHLXR","schema_version":"1.0","canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","source":{"kind":"arxiv","id":"1110.2159","version":3},"attestation_state":"computed","paper":{"title":"Unimodular conformal and projective relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"John Stachel, Ka\\'ca Bradonji\\'c","submitted_at":"2011-10-10T19:45:27Z","abstract_excerpt":"We outline unimodular conformal and projective relativity (UCPR), an extension of unimodular relativity in which the conformal and projective structures play central roles. Under $SL(4,\\mathbb{R})$ symmetry group, the pseudo-Riemannian metric naturally decomposes into a four-volume element and a conformal metric; and the affine connection decomposes into a one-form and a trace-free projective connection. In UCPR, these four space-time structures are treated as independent fields that have clear physical interpretations. A Palatini-type variational principle for the usual general relativity Lag"},"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":"1110.2159","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-10T19:45:27Z","cross_cats_sorted":[],"title_canon_sha256":"c8ff19651d4e1c6cee11fc2c6b63a282ff3145fd98cd974374bedb9e5128ed0b","abstract_canon_sha256":"e9a37ca4adae8e3d38a0a84ef35f79e60cecbfb3a259452af1ecc46d28a2e8b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:26.882008Z","signature_b64":"rvneBB8Hmjdpqdj0JYf1sKAr4uBnPhhz9cDfhlO7F4OHUxZ5LMSkkQypwz1u7eYUxca2//AB/Xtn1NxvJe1SCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","last_reissued_at":"2026-05-18T03:18:26.881552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:26.881552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unimodular conformal and projective relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"John Stachel, Ka\\'ca Bradonji\\'c","submitted_at":"2011-10-10T19:45:27Z","abstract_excerpt":"We outline unimodular conformal and projective relativity (UCPR), an extension of unimodular relativity in which the conformal and projective structures play central roles. Under $SL(4,\\mathbb{R})$ symmetry group, the pseudo-Riemannian metric naturally decomposes into a four-volume element and a conformal metric; and the affine connection decomposes into a one-form and a trace-free projective connection. In UCPR, these four space-time structures are treated as independent fields that have clear physical interpretations. A Palatini-type variational principle for the usual general relativity Lag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2159","kind":"arxiv","version":3},"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":"1110.2159","created_at":"2026-05-18T03:18:26.881617+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.2159v3","created_at":"2026-05-18T03:18:26.881617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2159","created_at":"2026-05-18T03:18:26.881617+00:00"},{"alias_kind":"pith_short_12","alias_value":"4HKLHLXRTD4Y","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4HKLHLXRTD4Y6XOG","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4HKLHLXR","created_at":"2026-05-18T12:26:20.644004+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/4HKLHLXRTD4Y6XOGEKA3FU3KAT","json":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT.json","graph_json":"https://pith.science/api/pith-number/4HKLHLXRTD4Y6XOGEKA3FU3KAT/graph.json","events_json":"https://pith.science/api/pith-number/4HKLHLXRTD4Y6XOGEKA3FU3KAT/events.json","paper":"https://pith.science/paper/4HKLHLXR"},"agent_actions":{"view_html":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT","download_json":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT.json","view_paper":"https://pith.science/paper/4HKLHLXR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.2159&json=true","fetch_graph":"https://pith.science/api/pith-number/4HKLHLXRTD4Y6XOGEKA3FU3KAT/graph.json","fetch_events":"https://pith.science/api/pith-number/4HKLHLXRTD4Y6XOGEKA3FU3KAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/action/storage_attestation","attest_author":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/action/author_attestation","sign_citation":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/action/citation_signature","submit_replication":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/action/replication_record"}},"created_at":"2026-05-18T03:18:26.881617+00:00","updated_at":"2026-05-18T03:18:26.881617+00:00"}