{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:77D7VXKG6A5OYYK2PUDBXDVLGJ","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":"411a80cb8ea0910e518df866984c136a59aaf58cd20bdc2917c1e7ddffe423cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-20T15:00:47Z","title_canon_sha256":"fe8c09e8586fed09439d486ee15913cb85b6354ba14f79923c92a7637dc6fd3e"},"schema_version":"1.0","source":{"id":"1408.4686","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4686","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4686v3","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4686","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"77D7VXKG6A5O","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"77D7VXKG6A5OYYK2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"77D7VXKG","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:a6d31421efbd787cb0c6e85ba5e2b401a190839e9d92203d1e3e9e960f25ff34","target":"graph","created_at":"2026-05-18T01:11:51Z","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":"An exact solution of the Einstein field equations given the barotropic equation of state $p=\\omega\\rho$ yields two possible models: (1) if $\\omega <-1$, we obtain the most general possible anisotropic model for wormholes supported by phantom energy and (2) if $\\omega >0$, we obtain a model for galactic rotation curves. Here the equation of state represents a perfect fluid which may include dark matter. These results illustrate the power and usefulness of exact solutions.","authors_text":"Peter K.F. Kuhfittig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-20T15:00:47Z","title":"Exactly solvable wormhole and cosmological models with a barotropic equation of state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4686","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:c3162a1a4600a53d77007f10e133f42ff338cf61c3234b02a579877dbe2f256a","target":"record","created_at":"2026-05-18T01:11:51Z","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":"411a80cb8ea0910e518df866984c136a59aaf58cd20bdc2917c1e7ddffe423cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-20T15:00:47Z","title_canon_sha256":"fe8c09e8586fed09439d486ee15913cb85b6354ba14f79923c92a7637dc6fd3e"},"schema_version":"1.0","source":{"id":"1408.4686","kind":"arxiv","version":3}},"canonical_sha256":"ffc7fadd46f03aec615a7d061b8eab32748cdca0e376a82fb6f8664330ee6aff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffc7fadd46f03aec615a7d061b8eab32748cdca0e376a82fb6f8664330ee6aff","first_computed_at":"2026-05-18T01:11:51.876096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:51.876096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"raKDjV9gtHodYJgDRKirwXuUHP1R+i2A/yBnie81yYXZP39D88ULdtHX+lOIaLK3Pu9Apk4K5S1Pf7cRBs4FAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:51.876436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4686","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3162a1a4600a53d77007f10e133f42ff338cf61c3234b02a579877dbe2f256a","sha256:a6d31421efbd787cb0c6e85ba5e2b401a190839e9d92203d1e3e9e960f25ff34"],"state_sha256":"1148d9242b34f337a17c3a3a29f042ae90db6fda80a75703064921557a33d607"}