{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QOF24BKUHXI54GXPXUXHRWOAGJ","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":"e554c46deac2eb2905a1042af2ae752167857cffaed04d8c62a3ff74349e0acd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-03T16:51:37Z","title_canon_sha256":"eb61751a783d4171ebffa2f7574d82b8514000ba7fe131aa528c2c63e632a084"},"schema_version":"1.0","source":{"id":"1304.1010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1010","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1010v1","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1010","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"QOF24BKUHXI5","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QOF24BKUHXI54GXP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QOF24BKU","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:9d9cf26978c625e2fe157ed3521585223b62783d31151650c2c10ea5df8c2989","target":"graph","created_at":"2026-05-18T02:43:02Z","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 investigate perturbations of Kantowski-Sachs models with a positive cosmological constant, using the gauge invariant 1+3 and 1+1+2 covariant splits of spacetime together with a harmonic decomposition. The perturbations are assumed to be vorticity-free and of perfect fluid type, but otherwise include general scalar, vector and tensor modes. In this case the set of equations can be reduced to six evolution equations for six harmonic coefficients.","authors_text":"L\\'aszl\\'o \\'A. Gergely, Mats Forsberg, Michael Bradley, Peter K.S. Dunsby, Zolt\\'an Keresztes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-03T16:51:37Z","title":"Perturbations of Kantowski-Sachs models with a cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1010","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:fb772c658c407848cd79bac55a88eb2ad762b0f60363c45574a3a31e19a5fdb0","target":"record","created_at":"2026-05-18T02:43:02Z","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":"e554c46deac2eb2905a1042af2ae752167857cffaed04d8c62a3ff74349e0acd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-03T16:51:37Z","title_canon_sha256":"eb61751a783d4171ebffa2f7574d82b8514000ba7fe131aa528c2c63e632a084"},"schema_version":"1.0","source":{"id":"1304.1010","kind":"arxiv","version":1}},"canonical_sha256":"838bae05543dd1de1aefbd2e78d9c0326839e7f75f6a61a50747e4f48f9e580c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"838bae05543dd1de1aefbd2e78d9c0326839e7f75f6a61a50747e4f48f9e580c","first_computed_at":"2026-05-18T02:43:02.672088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:02.672088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QmrGtbsnfUg/Hga9tQdgiOqv8vs2mOVr3HvgW7Yl+SVq/VOsbp59LmWkqwdluufEuUX9dZHEgAyihoWXuN1zDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:02.672610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb772c658c407848cd79bac55a88eb2ad762b0f60363c45574a3a31e19a5fdb0","sha256:9d9cf26978c625e2fe157ed3521585223b62783d31151650c2c10ea5df8c2989"],"state_sha256":"899811c10611ad28a908a51c5ce2a555d545745cae5b284075239c94f07b3e26"}