{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:M3RF5JBGG4N6TQHQJTPFDU33VH","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":"38d84f5f6f9a544de36940ac15ba89fe86d3102f8d805ba803df9cb0dc9e678a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T18:00:00Z","title_canon_sha256":"26bf9e448f1518b586d2dadddd79d6ccb82a4923b65a7d42d425932dff84dac8"},"schema_version":"1.0","source":{"id":"2207.10089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10089","created_at":"2026-07-05T08:01:28Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10089v1","created_at":"2026-07-05T08:01:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10089","created_at":"2026-07-05T08:01:28Z"},{"alias_kind":"pith_short_12","alias_value":"M3RF5JBGG4N6","created_at":"2026-07-05T08:01:28Z"},{"alias_kind":"pith_short_16","alias_value":"M3RF5JBGG4N6TQHQ","created_at":"2026-07-05T08:01:28Z"},{"alias_kind":"pith_short_8","alias_value":"M3RF5JBG","created_at":"2026-07-05T08:01:28Z"}],"graph_snapshots":[{"event_id":"sha256:897a88962af770d77c202642619917491d7d8268b3e6a3fa536b7a481cd2ed03","target":"graph","created_at":"2026-07-05T08:01:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.10089/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The local thermodynamic stability of a black hole (BH) in the canonical ensemble is defined by the positivity of the specific heat at constant global charges. Schwarzschild BHs in thermodynamic equilibrium with an energy reservoir are always unstable against small fluctuations of energy, whereas sufficiently near-extremal Reissner-Nordstr\\\"{o}m/Kerr BHs are stable. One could expect that asymptotically-flat hairy BHs branching off from such stable phases would also be, by continuity, locally thermodynamically stable for vanishingly little hair. We show this is not the case in some models, inclu","authors_text":"Carlos. A. R. Herdeiro, Eugen Radu, Nuno M. Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T18:00:00Z","title":"A little hair can make a big difference: thermodynamic stability of quasi-bald asymptotically-flat black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10089","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":"sha256:4529b5eb68c6257392407860ec3eb2fd7cf7bdcc6f743135d981f9bd5a6016ca","target":"record","created_at":"2026-07-05T08:01:28Z","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":"38d84f5f6f9a544de36940ac15ba89fe86d3102f8d805ba803df9cb0dc9e678a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-20T18:00:00Z","title_canon_sha256":"26bf9e448f1518b586d2dadddd79d6ccb82a4923b65a7d42d425932dff84dac8"},"schema_version":"1.0","source":{"id":"2207.10089","kind":"arxiv","version":1}},"canonical_sha256":"66e25ea426371be9c0f04cde51d37ba9c7cea83a4787b386e7418ec362f3766a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e25ea426371be9c0f04cde51d37ba9c7cea83a4787b386e7418ec362f3766a","first_computed_at":"2026-07-05T08:01:28.695919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:01:28.695919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCc9G58LOOCzo/8e/gExJ+hIoZfPg9jZXNCfJu3n8atfrGY3jQcPDIJ198OdeHkR77Zf/hijGWoFTX5km67dAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:01:28.696425Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.10089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4529b5eb68c6257392407860ec3eb2fd7cf7bdcc6f743135d981f9bd5a6016ca","sha256:897a88962af770d77c202642619917491d7d8268b3e6a3fa536b7a481cd2ed03"],"state_sha256":"edaf1bb1efb149eb3685892a316adc1b169f16dcf307bb0eac206b7ad189fd4d"}