{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:R32NGJ3VAUBUL56R64HQVIQATR","short_pith_number":"pith:R32NGJ3V","canonical_record":{"source":{"id":"2312.02115","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-04T18:47:36Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"9ac3c19faf7e05b2303e680f0d20243e7dd7011667b07b341bd20f5bf779f53e","abstract_canon_sha256":"e8a3b47a24ddf14bff31b5fa88c613e1d0411fea59915ddf3236e7635958ec5d"},"schema_version":"1.0"},"canonical_sha256":"8ef4d32775050345f7d1f70f0aa2009c6ede756161f0e040f73d2ba8dfe83f40","source":{"kind":"arxiv","id":"2312.02115","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.02115","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"arxiv_version","alias_value":"2312.02115v3","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.02115","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_12","alias_value":"R32NGJ3VAUBU","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_16","alias_value":"R32NGJ3VAUBUL56R","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_8","alias_value":"R32NGJ3V","created_at":"2026-07-05T07:40:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:R32NGJ3VAUBUL56R64HQVIQATR","target":"record","payload":{"canonical_record":{"source":{"id":"2312.02115","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-04T18:47:36Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"9ac3c19faf7e05b2303e680f0d20243e7dd7011667b07b341bd20f5bf779f53e","abstract_canon_sha256":"e8a3b47a24ddf14bff31b5fa88c613e1d0411fea59915ddf3236e7635958ec5d"},"schema_version":"1.0"},"canonical_sha256":"8ef4d32775050345f7d1f70f0aa2009c6ede756161f0e040f73d2ba8dfe83f40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:40:25.639078Z","signature_b64":"Cw/k4e3NQ3gnl7zwrvis92xBN1xeLEgN2AeKd793VUFu4Fz4QehnTJdcUESoTvemsX3OWlRr1E1yekJ6Q2RfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ef4d32775050345f7d1f70f0aa2009c6ede756161f0e040f73d2ba8dfe83f40","last_reissued_at":"2026-07-05T07:40:25.638648Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:40:25.638648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.02115","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":"2026-07-05T07:40:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DO+zEjDpQRLDC8UnnkDcxC2XXmi/8FU9JsuD+ynQyR4tXFRCsTWCQ8a8PL5B9POMEJbGoEy79nSbDPedjRMLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:07:19.934061Z"},"content_sha256":"6d9b7f8230eab283d0f3985ccd54c3ffdb7c758f9db4355101354d5a12503b4d","schema_version":"1.0","event_id":"sha256:6d9b7f8230eab283d0f3985ccd54c3ffdb7c758f9db4355101354d5a12503b4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:R32NGJ3VAUBUL56R64HQVIQATR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solutions of Cotton Gravity in its Codazzi formulation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Roberto A Sussman, Sebastian Najera","submitted_at":"2023-12-04T18:47:36Z","abstract_excerpt":"The \"Codazzi formulation\", based on a Codazzi tensor, provides a more robust and straightforward theoretical framework for \"Cotton Gravity\" (CG) than its original formulation in terms of the Cotton tensor. Using this formulation we provide a self-consistent procedure to generate non-trivial exact solutions in CG that generalize well known General Relativity (GR) solutions. We re-derive a known CG solution that generalizes the Schwarzschild solution of GR, showing that it is the unique vacuum solution of static spherical symmetry in CG, extending this result to a CG generalization of the Reissn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.02115","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.02115/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:40:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ZIb/u4Cm0Yer9mNUwpSBFohp21VWuE3lopaVBdsY7FWM87uXWmtPkvDXuhYlJCDLVt8qsfCV+QceyA4D/BlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:07:19.934805Z"},"content_sha256":"c53149e9c970d79b0a490510ed4e10e7136f2a182953dedd75be4c28dd1d9a6f","schema_version":"1.0","event_id":"sha256:c53149e9c970d79b0a490510ed4e10e7136f2a182953dedd75be4c28dd1d9a6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R32NGJ3VAUBUL56R64HQVIQATR/bundle.json","state_url":"https://pith.science/pith/R32NGJ3VAUBUL56R64HQVIQATR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R32NGJ3VAUBUL56R64HQVIQATR/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":"2026-08-18T16:07:19Z","links":{"resolver":"https://pith.science/pith/R32NGJ3VAUBUL56R64HQVIQATR","bundle":"https://pith.science/pith/R32NGJ3VAUBUL56R64HQVIQATR/bundle.json","state":"https://pith.science/pith/R32NGJ3VAUBUL56R64HQVIQATR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R32NGJ3VAUBUL56R64HQVIQATR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:R32NGJ3VAUBUL56R64HQVIQATR","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":"e8a3b47a24ddf14bff31b5fa88c613e1d0411fea59915ddf3236e7635958ec5d","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-04T18:47:36Z","title_canon_sha256":"9ac3c19faf7e05b2303e680f0d20243e7dd7011667b07b341bd20f5bf779f53e"},"schema_version":"1.0","source":{"id":"2312.02115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.02115","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"arxiv_version","alias_value":"2312.02115v3","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.02115","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_12","alias_value":"R32NGJ3VAUBU","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_16","alias_value":"R32NGJ3VAUBUL56R","created_at":"2026-07-05T07:40:25Z"},{"alias_kind":"pith_short_8","alias_value":"R32NGJ3V","created_at":"2026-07-05T07:40:25Z"}],"graph_snapshots":[{"event_id":"sha256:c53149e9c970d79b0a490510ed4e10e7136f2a182953dedd75be4c28dd1d9a6f","target":"graph","created_at":"2026-07-05T07:40:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.02115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The \"Codazzi formulation\", based on a Codazzi tensor, provides a more robust and straightforward theoretical framework for \"Cotton Gravity\" (CG) than its original formulation in terms of the Cotton tensor. Using this formulation we provide a self-consistent procedure to generate non-trivial exact solutions in CG that generalize well known General Relativity (GR) solutions. We re-derive a known CG solution that generalizes the Schwarzschild solution of GR, showing that it is the unique vacuum solution of static spherical symmetry in CG, extending this result to a CG generalization of the Reissn","authors_text":"Roberto A Sussman, Sebastian Najera","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-04T18:47:36Z","title":"Exact solutions of Cotton Gravity in its Codazzi formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.02115","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":"sha256:6d9b7f8230eab283d0f3985ccd54c3ffdb7c758f9db4355101354d5a12503b4d","target":"record","created_at":"2026-07-05T07:40:25Z","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":"e8a3b47a24ddf14bff31b5fa88c613e1d0411fea59915ddf3236e7635958ec5d","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-04T18:47:36Z","title_canon_sha256":"9ac3c19faf7e05b2303e680f0d20243e7dd7011667b07b341bd20f5bf779f53e"},"schema_version":"1.0","source":{"id":"2312.02115","kind":"arxiv","version":3}},"canonical_sha256":"8ef4d32775050345f7d1f70f0aa2009c6ede756161f0e040f73d2ba8dfe83f40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ef4d32775050345f7d1f70f0aa2009c6ede756161f0e040f73d2ba8dfe83f40","first_computed_at":"2026-07-05T07:40:25.638648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:40:25.638648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cw/k4e3NQ3gnl7zwrvis92xBN1xeLEgN2AeKd793VUFu4Fz4QehnTJdcUESoTvemsX3OWlRr1E1yekJ6Q2RfCw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:40:25.639078Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.02115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d9b7f8230eab283d0f3985ccd54c3ffdb7c758f9db4355101354d5a12503b4d","sha256:c53149e9c970d79b0a490510ed4e10e7136f2a182953dedd75be4c28dd1d9a6f"],"state_sha256":"756b0e930873475f5e16ebba2a4df9e15bcf621473ea9dc9e3b47c25c5dac451"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZLYQpzUHN8EjiDZVfyFyvsOtkqTCDbe9EC6gY7zOQm0o0Y/+k4f8cjRlHzBpXstKjtbS457LV2RPRdF5GCcAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T16:07:19.942036Z","bundle_sha256":"9c9123f859ef95145cf62fb2eb1c953c65a2ed1d4bb4ccb2a9307eda3269dfc6"}}