{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FNHWW23GNJU6J3QBGIRI72RKWA","short_pith_number":"pith:FNHWW23G","schema_version":"1.0","canonical_sha256":"2b4f6b6b666a69e4ee0132228fea2ab00e17cd0cda2cb060e30978def28d9781","source":{"kind":"arxiv","id":"1604.06312","version":2},"attestation_state":"computed","paper":{"title":"Criticality and Surface Tension in Rotating Horizon Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"David Kubiznak, Devin Hansen, Robert B. Mann","submitted_at":"2016-04-21T14:02:49Z","abstract_excerpt":"We study a modified horizon thermodynamics and the associated criticality for rotating black hole spacetimes. Namely, we show that under a virtual displacement of the black hole horizon accompanied by an independent variation of the rotation parameter, the radial Einstein equation takes a form of a \"cohomogeneity two\" horizon first law, $dE=TdS+\\Omega dJ-\\sigma dA$, where $E$ and $J$ are the horizon energy (an analogue of the Misner-Sharp mass) and the horizon angular momentum, $\\Omega$ is the horizon angular velocity, $A$ is the horizon area, and $\\sigma$ is the surface tension induced by the"},"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":"1604.06312","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-04-21T14:02:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8d809ba3a234a82d14cb49479e043b0c6badfc3ce6fd2ffb015bfa5b9c5bd481","abstract_canon_sha256":"9760199a4a810e7fc957c6029b7e99ea1c04e2c2b601b9bebff21f7105b8c4db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:20.624692Z","signature_b64":"L593iNPGvHFhoQzwThsjQQlXyA/qy5aKflBjzh6t/FrM9AxNDTbjE0OprSSc2/5Wb3rOKIwbtJ2W67GS6JRGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b4f6b6b666a69e4ee0132228fea2ab00e17cd0cda2cb060e30978def28d9781","last_reissued_at":"2026-05-18T01:07:20.624085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:20.624085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Criticality and Surface Tension in Rotating Horizon Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"David Kubiznak, Devin Hansen, Robert B. Mann","submitted_at":"2016-04-21T14:02:49Z","abstract_excerpt":"We study a modified horizon thermodynamics and the associated criticality for rotating black hole spacetimes. Namely, we show that under a virtual displacement of the black hole horizon accompanied by an independent variation of the rotation parameter, the radial Einstein equation takes a form of a \"cohomogeneity two\" horizon first law, $dE=TdS+\\Omega dJ-\\sigma dA$, where $E$ and $J$ are the horizon energy (an analogue of the Misner-Sharp mass) and the horizon angular momentum, $\\Omega$ is the horizon angular velocity, $A$ is the horizon area, and $\\sigma$ is the surface tension induced by the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06312","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":""},"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":"1604.06312","created_at":"2026-05-18T01:07:20.624172+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.06312v2","created_at":"2026-05-18T01:07:20.624172+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06312","created_at":"2026-05-18T01:07:20.624172+00:00"},{"alias_kind":"pith_short_12","alias_value":"FNHWW23GNJU6","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FNHWW23GNJU6J3QB","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FNHWW23G","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1608.06147","citing_title":"Black hole chemistry: thermodynamics with Lambda","ref_index":280,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA","json":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA.json","graph_json":"https://pith.science/api/pith-number/FNHWW23GNJU6J3QBGIRI72RKWA/graph.json","events_json":"https://pith.science/api/pith-number/FNHWW23GNJU6J3QBGIRI72RKWA/events.json","paper":"https://pith.science/paper/FNHWW23G"},"agent_actions":{"view_html":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA","download_json":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA.json","view_paper":"https://pith.science/paper/FNHWW23G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.06312&json=true","fetch_graph":"https://pith.science/api/pith-number/FNHWW23GNJU6J3QBGIRI72RKWA/graph.json","fetch_events":"https://pith.science/api/pith-number/FNHWW23GNJU6J3QBGIRI72RKWA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA/action/storage_attestation","attest_author":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA/action/author_attestation","sign_citation":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA/action/citation_signature","submit_replication":"https://pith.science/pith/FNHWW23GNJU6J3QBGIRI72RKWA/action/replication_record"}},"created_at":"2026-05-18T01:07:20.624172+00:00","updated_at":"2026-05-18T01:07:20.624172+00:00"}