{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M3QBAJEWFQX7F32E4F6SIEXUKU","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":"e45c70c0ee7c902bc9867f291f272630480b150a83153ed00ee0fab103025b6e","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-19T10:44:01Z","title_canon_sha256":"e10e269f16af3c7e67cd8447e16963d8bfd9a9309ebe01942006190322cf6877"},"schema_version":"1.0","source":{"id":"1303.4543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4543","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4543v2","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4543","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"M3QBAJEWFQX7","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M3QBAJEWFQX7F32E","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M3QBAJEW","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:84cd18dea9d48e79517a0d78ac150ac19ad005c6a9dfce8258d3bf2b46cb311c","target":"graph","created_at":"2026-05-18T03:30:13Z","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 present here how the gravothermal or Antonov's instability, which was originally formulated in the microcanonical ensemble, is modified in the presence of a cosmological constant and in the canonical ensemble. In contrast to the microcanonical ensemble, there is a minimum, and not maximum, radius for which metastable states exist. In addition this critical radius is decreasing, and not increasing, with increasing cosmological constant. The minimum temperature for which metastable states exist is decreasing with increasing cosmological constant, while above some positive value of the cosmolo","authors_text":"George Georgiou, Minos Axenides, Zacharias Roupas","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-19T10:44:01Z","title":"Gravothermal instability with a cosmological constant in the canonical ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4543","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":"sha256:0592a5a8e735b10c263c0683d3770e68f8682a0be4a586ec4b9a0d855fed114a","target":"record","created_at":"2026-05-18T03:30:13Z","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":"e45c70c0ee7c902bc9867f291f272630480b150a83153ed00ee0fab103025b6e","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-19T10:44:01Z","title_canon_sha256":"e10e269f16af3c7e67cd8447e16963d8bfd9a9309ebe01942006190322cf6877"},"schema_version":"1.0","source":{"id":"1303.4543","kind":"arxiv","version":2}},"canonical_sha256":"66e01024962c2ff2ef44e17d2412f4552f19eea10ffd5824154388986d92cb22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e01024962c2ff2ef44e17d2412f4552f19eea10ffd5824154388986d92cb22","first_computed_at":"2026-05-18T03:30:13.682166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:13.682166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6QAG17+4yzqOiug/ouqMmv2OY5P6T5NcL9729gc20JT1rVLP6ybHGUBYNggaOE3SDlKluHRq9mYI75GroR4bDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:13.682838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0592a5a8e735b10c263c0683d3770e68f8682a0be4a586ec4b9a0d855fed114a","sha256:84cd18dea9d48e79517a0d78ac150ac19ad005c6a9dfce8258d3bf2b46cb311c"],"state_sha256":"9a3452d3b4e5b6aba8167bb3ba90465f327704a429e32dbc570ae79dbfca8a7c"}