{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WPHTK5BWRIOZWW3A74XFQEBHKW","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":"c586e16e660d0bfbe2e6decf1b861fd5b2439bb7bb96e292e1915a09bed3c407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-11T21:19:56Z","title_canon_sha256":"650a3691b5c019d3e54c91ef1b74131bdab8857429674125c1eaad9f00d1ebee"},"schema_version":"1.0","source":{"id":"1211.2463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2463","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2463v1","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2463","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"WPHTK5BWRIOZ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WPHTK5BWRIOZWW3A","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WPHTK5BW","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:64e4884578a047c72000cf7207842122d37edfcbbb26bc4bae05d0cafbba3dd0","target":"graph","created_at":"2026-05-18T03:41:03Z","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 establish a nonlinear instability of the Euler-Poisson system for polytropic gases whose adiabatic exponents take value in $6/5<\\gamma<4/3$ around the Lane-Emden equilibrium star configurations.","authors_text":"Juhi Jang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-11T21:19:56Z","title":"Nonlinear Instability Theory of Lane-Emden stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2463","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:acd511399e8b2d41532cee735168a6f61fe92e294299bb9b3c5dac5c3ad0095b","target":"record","created_at":"2026-05-18T03:41:03Z","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":"c586e16e660d0bfbe2e6decf1b861fd5b2439bb7bb96e292e1915a09bed3c407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-11-11T21:19:56Z","title_canon_sha256":"650a3691b5c019d3e54c91ef1b74131bdab8857429674125c1eaad9f00d1ebee"},"schema_version":"1.0","source":{"id":"1211.2463","kind":"arxiv","version":1}},"canonical_sha256":"b3cf3574368a1d9b5b60ff2e58102755aa8d2576a036ee4e069cb44d5fb6f8e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3cf3574368a1d9b5b60ff2e58102755aa8d2576a036ee4e069cb44d5fb6f8e6","first_computed_at":"2026-05-18T03:41:03.269818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:03.269818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JaZZTCihzPxVMLAp5TF6WIzZspQb2OSyZG8dRlIzHLvQDrN7Rxw2Jo5HiA9WOb3bxt0CF40B8OSmA5pbzaNwCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:03.270460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acd511399e8b2d41532cee735168a6f61fe92e294299bb9b3c5dac5c3ad0095b","sha256:64e4884578a047c72000cf7207842122d37edfcbbb26bc4bae05d0cafbba3dd0"],"state_sha256":"2339eb87cd171df975c69c9f7aac02ca03d125b468d754bf56269013da49d043"}