{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3LJEJVYT2NWSDKIWVGPCIABF5X","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":"dda4704ef949938c6a76803f9801d0568143df2ad3ea6849966357f2888788ba","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-26T04:05:39Z","title_canon_sha256":"18c5e92e3d2b4fbff4a11f53a349fb12a56182f5b95dc284a9e4c485c22af0a0"},"schema_version":"1.0","source":{"id":"2412.19049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.19049","created_at":"2026-07-05T09:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"2412.19049v1","created_at":"2026-07-05T09:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.19049","created_at":"2026-07-05T09:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"3LJEJVYT2NWS","created_at":"2026-07-05T09:54:15Z"},{"alias_kind":"pith_short_16","alias_value":"3LJEJVYT2NWSDKIW","created_at":"2026-07-05T09:54:15Z"},{"alias_kind":"pith_short_8","alias_value":"3LJEJVYT","created_at":"2026-07-05T09:54:15Z"}],"graph_snapshots":[{"event_id":"sha256:ddf4e40694136028d9af0c3b22309b3f4289847d39fbe515b8fca9d3711d199c","target":"graph","created_at":"2026-07-05T09:54:15Z","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/2412.19049/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $3+1$ formalism provides a structured approach to analyzing spacetime by separating it into spatial and temporal components. When applied to the Robertson-Walker metric, it simplifies the analysis of cosmological evolution by dividing the Einstein field equations into constraint and evolution equations. It introduces the lapse function $N$ and the shift vector $N^i$, which control how time and spatial coordinates evolve between hypersurfaces. In standard model cosmology, $N = 1$ and $N^i = 0$ for the Robertson-Walker metric. However, the $N$ becomes a function of time when we apply the met","authors_text":"Seokcheon Lee","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-26T04:05:39Z","title":"3+1 formalism of the minimally extended varying speed of light model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.19049","kind":"arxiv","version":1},"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":"sha256:7e272b75a8ecd40b9fb0b08b43334012443ba2c5fa714e9bf0cf470241713459","target":"record","created_at":"2026-07-05T09:54:15Z","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":"dda4704ef949938c6a76803f9801d0568143df2ad3ea6849966357f2888788ba","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-26T04:05:39Z","title_canon_sha256":"18c5e92e3d2b4fbff4a11f53a349fb12a56182f5b95dc284a9e4c485c22af0a0"},"schema_version":"1.0","source":{"id":"2412.19049","kind":"arxiv","version":1}},"canonical_sha256":"dad244d713d36d21a916a99e240025edffed3ee2993e9098697a3b1bed487afa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dad244d713d36d21a916a99e240025edffed3ee2993e9098697a3b1bed487afa","first_computed_at":"2026-07-05T09:54:15.389557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:54:15.389557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H2iXKRpvO8TGLmhdzdyTwZEmhr3Y7G/VXJmcXn2vBG0VPBXZLLiwR4GTOV8RzuPbd1I+xdDbQC41+Gl3abApAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:54:15.390033Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.19049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e272b75a8ecd40b9fb0b08b43334012443ba2c5fa714e9bf0cf470241713459","sha256:ddf4e40694136028d9af0c3b22309b3f4289847d39fbe515b8fca9d3711d199c"],"state_sha256":"78db516dfbe2ab0668b14d52d8934c25d4844a9304b56cf756476eb324f47ddf"}