{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:MPET3Y6HABVEJTSFVP5ZJ6YZ4F","short_pith_number":"pith:MPET3Y6H","schema_version":"1.0","canonical_sha256":"63c93de3c7006a44ce45abfb94fb19e17f6128d685fd7297cafa3ceee97f3b0d","source":{"kind":"arxiv","id":"gr-qc/0506001","version":2},"attestation_state":"computed","paper":{"title":"Stability of phantom wormholes","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco S. N. Lobo","submitted_at":"2005-05-31T22:23:46Z","abstract_excerpt":"It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modelled by matching an interior traversable wormhole solution, governed by the equation of state $p=\\omega \\rho$ with $\\omega<-1$, to an exterior vacuum spacetime at a finite junction interface. The stability analysis of these phantom wormholes to linearized spherically symmetric perturbations about static equilibrium solutions is carried out. A master equation dictating the stability regions is deduced, and by separating the cases of a positive and a negative"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0506001","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-05-31T22:23:46Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"ab4c94fb5610a62cda36cea710b6fe51c47779328a3e6d937f17226a6d457b12","abstract_canon_sha256":"dce562e6f63f3d5f3f5efc6cc806e1c2219cd39946c282e254bf9a0836c0a5dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:14.895743Z","signature_b64":"zxEqQFOF418cEGJr2RrZhX/zvAIg0iaJG9ngL0wplsJ5rZMYfoETFY2JUFBY8x4kc4tlXAUfObOewveb6DymCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63c93de3c7006a44ce45abfb94fb19e17f6128d685fd7297cafa3ceee97f3b0d","last_reissued_at":"2026-07-04T16:55:14.895324Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:14.895324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability of phantom wormholes","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco S. N. Lobo","submitted_at":"2005-05-31T22:23:46Z","abstract_excerpt":"It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modelled by matching an interior traversable wormhole solution, governed by the equation of state $p=\\omega \\rho$ with $\\omega<-1$, to an exterior vacuum spacetime at a finite junction interface. The stability analysis of these phantom wormholes to linearized spherically symmetric perturbations about static equilibrium solutions is carried out. A master equation dictating the stability regions is deduced, and by separating the cases of a positive and a negative"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0506001","kind":"arxiv","version":2},"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/gr-qc/0506001/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0506001","created_at":"2026-07-04T16:55:14.895385+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0506001v2","created_at":"2026-07-04T16:55:14.895385+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0506001","created_at":"2026-07-04T16:55:14.895385+00:00"},{"alias_kind":"pith_short_12","alias_value":"MPET3Y6HABVE","created_at":"2026-07-04T16:55:14.895385+00:00"},{"alias_kind":"pith_short_16","alias_value":"MPET3Y6HABVEJTSF","created_at":"2026-07-04T16:55:14.895385+00:00"},{"alias_kind":"pith_short_8","alias_value":"MPET3Y6H","created_at":"2026-07-04T16:55:14.895385+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F","json":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F.json","graph_json":"https://pith.science/api/pith-number/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/graph.json","events_json":"https://pith.science/api/pith-number/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/events.json","paper":"https://pith.science/paper/MPET3Y6H"},"agent_actions":{"view_html":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F","download_json":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F.json","view_paper":"https://pith.science/paper/MPET3Y6H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0506001&json=true","fetch_graph":"https://pith.science/api/pith-number/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/graph.json","fetch_events":"https://pith.science/api/pith-number/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/action/storage_attestation","attest_author":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/action/author_attestation","sign_citation":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/action/citation_signature","submit_replication":"https://pith.science/pith/MPET3Y6HABVEJTSFVP5ZJ6YZ4F/action/replication_record"}},"created_at":"2026-07-04T16:55:14.895385+00:00","updated_at":"2026-07-04T16:55:14.895385+00:00"}