{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DCE2CE2A5FC3BKIOVZVX5SEAEO","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":"82b2abdce7bd6dce246a5f55e9b5f8b004637f91b4afb5b7f386df9a5967e183","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-23T14:14:52Z","title_canon_sha256":"6d1fb991c907ea8e07fe80c5236015bc6c1f2727c779f4bf71244147e7431511"},"schema_version":"1.0","source":{"id":"1301.5508","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5508","created_at":"2026-05-18T01:52:04Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5508v2","created_at":"2026-05-18T01:52:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5508","created_at":"2026-05-18T01:52:04Z"},{"alias_kind":"pith_short_12","alias_value":"DCE2CE2A5FC3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DCE2CE2A5FC3BKIO","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DCE2CE2A","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e29d0698d85339c85524e6a75a0c620373bef4161f8fe782ebc5f316ef416fd3","target":"graph","created_at":"2026-05-18T01:52:04Z","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 prove that shear-free perfect fluid solutions of Einstein's field equations must be either expansion-free or non-rotating (as conjectured by Treciokas and Ellis) for all linear equations of state $p = w \\rho$ except for six values of $w$.","authors_text":"Radu Slobodeanu","cross_cats":["hep-th","math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-23T14:14:52Z","title":"Shear-free perfect fluids with linear equation of state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5508","kind":"arxiv","version":2},"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:fb1d8e211f9b3fc9aab5b50f1de7cc623d2633de4fd0dcd8c9c60dd1a53d4dcb","target":"record","created_at":"2026-05-18T01:52:04Z","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":"82b2abdce7bd6dce246a5f55e9b5f8b004637f91b4afb5b7f386df9a5967e183","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-23T14:14:52Z","title_canon_sha256":"6d1fb991c907ea8e07fe80c5236015bc6c1f2727c779f4bf71244147e7431511"},"schema_version":"1.0","source":{"id":"1301.5508","kind":"arxiv","version":2}},"canonical_sha256":"1889a11340e945b0a90eae6b7ec88023b69274f737f8651ffef596371064ce9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1889a11340e945b0a90eae6b7ec88023b69274f737f8651ffef596371064ce9e","first_computed_at":"2026-05-18T01:52:04.306189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:04.306189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1XzbdlcbJYcB97UCdxJgfq3TENzz0uSIMV6hgRIjorjdJ4kXr/bv3iGUHiV4V5dFFkRj5M6o84wJkd25JEh+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:04.306634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5508","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb1d8e211f9b3fc9aab5b50f1de7cc623d2633de4fd0dcd8c9c60dd1a53d4dcb","sha256:e29d0698d85339c85524e6a75a0c620373bef4161f8fe782ebc5f316ef416fd3"],"state_sha256":"a39f5145f0b80ed5919b1c1620b05074a4e93a028fc2fc7fc842f5f46151110f"}