{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4HKLHLXRTD4Y6XOGEKA3FU3KAT","short_pith_number":"pith:4HKLHLXR","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"},"canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","source":{"kind":"arxiv","id":"1110.2159","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2159","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2159v3","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2159","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"pith_short_12","alias_value":"4HKLHLXRTD4Y","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4HKLHLXRTD4Y6XOG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4HKLHLXR","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4HKLHLXRTD4Y6XOGEKA3FU3KAT","target":"record","payload":{"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"},"canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","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"},"source_kind":"arxiv","source_id":"1110.2159","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:18:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXko0UPOWFaL98Alfi35ZnDrp1H8hYpoYDakN9Mw+MpBdmCnIFyAShdNrtYBs1XdXSaBsdG2hMObyLKVmmF/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:40:16.353179Z"},"content_sha256":"af62fea202d68be6ce7f357436b7a8a3c21e6c7f0d4e51f374f2e85ba6b5d19c","schema_version":"1.0","event_id":"sha256:af62fea202d68be6ce7f357436b7a8a3c21e6c7f0d4e51f374f2e85ba6b5d19c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4HKLHLXRTD4Y6XOGEKA3FU3KAT","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:18:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TJRrl3m1O9oy2KXlqGR4hshccMN5Rt9RQvj0ccYLWushYTN4/sm34zDO2ZJ1p7Qp4MQUGhioRwcxjaUvrkRrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:40:16.353559Z"},"content_sha256":"3255bea2c87d0ef120d9a6669ef7696342d50c96d788d2be2c76d3e2b668d370","schema_version":"1.0","event_id":"sha256:3255bea2c87d0ef120d9a6669ef7696342d50c96d788d2be2c76d3e2b668d370"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/bundle.json","state_url":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T22:40:16Z","links":{"resolver":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT","bundle":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/bundle.json","state":"https://pith.science/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4HKLHLXRTD4Y6XOGEKA3FU3KAT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4HKLHLXRTD4Y6XOGEKA3FU3KAT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e9a37ca4adae8e3d38a0a84ef35f79e60cecbfb3a259452af1ecc46d28a2e8b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-10T19:45:27Z","title_canon_sha256":"c8ff19651d4e1c6cee11fc2c6b63a282ff3145fd98cd974374bedb9e5128ed0b"},"schema_version":"1.0","source":{"id":"1110.2159","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2159","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2159v3","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2159","created_at":"2026-05-18T03:18:26Z"},{"alias_kind":"pith_short_12","alias_value":"4HKLHLXRTD4Y","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4HKLHLXRTD4Y6XOG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4HKLHLXR","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:3255bea2c87d0ef120d9a6669ef7696342d50c96d788d2be2c76d3e2b668d370","target":"graph","created_at":"2026-05-18T03:18:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"John Stachel, Ka\\'ca Bradonji\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-10T19:45:27Z","title":"Unimodular conformal and projective relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2159","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:af62fea202d68be6ce7f357436b7a8a3c21e6c7f0d4e51f374f2e85ba6b5d19c","target":"record","created_at":"2026-05-18T03:18:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9a37ca4adae8e3d38a0a84ef35f79e60cecbfb3a259452af1ecc46d28a2e8b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-10T19:45:27Z","title_canon_sha256":"c8ff19651d4e1c6cee11fc2c6b63a282ff3145fd98cd974374bedb9e5128ed0b"},"schema_version":"1.0","source":{"id":"1110.2159","kind":"arxiv","version":3}},"canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1d4b3aef198f98f5dc62281b2d36a04d5dda2b51012bc9e76ad138efe94dfec","first_computed_at":"2026-05-18T03:18:26.881552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:26.881552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rvneBB8Hmjdpqdj0JYf1sKAr4uBnPhhz9cDfhlO7F4OHUxZ5LMSkkQypwz1u7eYUxca2//AB/Xtn1NxvJe1SCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:26.882008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2159","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af62fea202d68be6ce7f357436b7a8a3c21e6c7f0d4e51f374f2e85ba6b5d19c","sha256:3255bea2c87d0ef120d9a6669ef7696342d50c96d788d2be2c76d3e2b668d370"],"state_sha256":"ba846251e5dce79f349b7287146b7f72557bf8702786667a7b9aee127cea917b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UF8sWibv1+BAbd8UiYMU178gLn+MIap6Fm5Sa1TLtuGZ+FMWBmcAshkMw+OdSx8TF+p7+pWdkAcBtFm3ZrkWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:40:16.356368Z","bundle_sha256":"77c96c4882c7ad6037a1e0948b18ecbb6db6c3e24738a0970c1ed2598cf34ae1"}}