{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:R3IVKFVBFNBO3BEEPBCSXT2G5O","short_pith_number":"pith:R3IVKFVB","schema_version":"1.0","canonical_sha256":"8ed15516a12b42ed848478452bcf46ebbdf2609974702ff5a89578bba3441c55","source":{"kind":"arxiv","id":"gr-qc/0109042","version":2},"attestation_state":"computed","paper":{"title":"Stability criterion for self-similar solutions with perfect fluids in general relativity","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Tomohiro Harada","submitted_at":"2001-09-12T07:46:45Z","abstract_excerpt":"A stability criterion is derived for self-similar solutions with perfect fluids which obey the equation of state $P=k\\rho$ in general relativity. A wide class of self-similar solutions turn out to be unstable against the so-called kink mode. The criterion is directly related to the classification of sonic points. The criterion gives a sufficient condition for instability of the solution. For a transonic point in collapse, all primary-direction nodal-point solutions are unstable, while all secondary-direction nodal-point solutions and saddle-point ones are stable against the kink mode. The situ"},"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/0109042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-09-12T07:46:45Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"fc6f5d621ec8f15acc817dfcca6d03fd8edaf8d85829d1580521dead5bbb274a","abstract_canon_sha256":"b6ba64b0b3166775b9f141a9c180508ad0a48c08dcba677274fdc8b263c54945"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:26:57.455797Z","signature_b64":"39XMd2yBupNoe0X3Y11IL//vkpNKeJ897tr6IqVk4ofr2inIKkXUStfpc6+x8EsTgTEJ6FeD1HscCBbpkzGpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ed15516a12b42ed848478452bcf46ebbdf2609974702ff5a89578bba3441c55","last_reissued_at":"2026-07-04T16:26:57.455444Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:26:57.455444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability criterion for self-similar solutions with perfect fluids in general relativity","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Tomohiro Harada","submitted_at":"2001-09-12T07:46:45Z","abstract_excerpt":"A stability criterion is derived for self-similar solutions with perfect fluids which obey the equation of state $P=k\\rho$ in general relativity. A wide class of self-similar solutions turn out to be unstable against the so-called kink mode. The criterion is directly related to the classification of sonic points. The criterion gives a sufficient condition for instability of the solution. For a transonic point in collapse, all primary-direction nodal-point solutions are unstable, while all secondary-direction nodal-point solutions and saddle-point ones are stable against the kink mode. The situ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0109042","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/0109042/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/0109042","created_at":"2026-07-04T16:26:57.455488+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0109042v2","created_at":"2026-07-04T16:26:57.455488+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0109042","created_at":"2026-07-04T16:26:57.455488+00:00"},{"alias_kind":"pith_short_12","alias_value":"R3IVKFVBFNBO","created_at":"2026-07-04T16:26:57.455488+00:00"},{"alias_kind":"pith_short_16","alias_value":"R3IVKFVBFNBO3BEE","created_at":"2026-07-04T16:26:57.455488+00:00"},{"alias_kind":"pith_short_8","alias_value":"R3IVKFVB","created_at":"2026-07-04T16:26:57.455488+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2509.03584","citing_title":"Unveiling horizons in quantum critical collapse","ref_index":179,"is_internal_anchor":true},{"citing_arxiv_id":"2509.03584","citing_title":"Unveiling horizons in quantum critical collapse","ref_index":179,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O","json":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O.json","graph_json":"https://pith.science/api/pith-number/R3IVKFVBFNBO3BEEPBCSXT2G5O/graph.json","events_json":"https://pith.science/api/pith-number/R3IVKFVBFNBO3BEEPBCSXT2G5O/events.json","paper":"https://pith.science/paper/R3IVKFVB"},"agent_actions":{"view_html":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O","download_json":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O.json","view_paper":"https://pith.science/paper/R3IVKFVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0109042&json=true","fetch_graph":"https://pith.science/api/pith-number/R3IVKFVBFNBO3BEEPBCSXT2G5O/graph.json","fetch_events":"https://pith.science/api/pith-number/R3IVKFVBFNBO3BEEPBCSXT2G5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O/action/storage_attestation","attest_author":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O/action/author_attestation","sign_citation":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O/action/citation_signature","submit_replication":"https://pith.science/pith/R3IVKFVBFNBO3BEEPBCSXT2G5O/action/replication_record"}},"created_at":"2026-07-04T16:26:57.455488+00:00","updated_at":"2026-07-04T16:26:57.455488+00:00"}