{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ZIRFBOGZE4WRTGM4TSE2MQANM3","short_pith_number":"pith:ZIRFBOGZ","canonical_record":{"source":{"id":"2101.07917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-20T01:05:33Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"4301fb960f49729657e6486e61e01ec59d966a65f1fbe237db82145b905f7e50","abstract_canon_sha256":"870bdefde7c1c2acbd65d6d86cc7e5fdc64d469fc4923e3cfa1e2607b79b3d3c"},"schema_version":"1.0"},"canonical_sha256":"ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c","source":{"kind":"arxiv","id":"2101.07917","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.07917","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"arxiv_version","alias_value":"2101.07917v1","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.07917","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZIRFBOGZE4WR","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIRFBOGZE4WRTGM4","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIRFBOGZ","created_at":"2026-07-05T02:47:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ZIRFBOGZE4WRTGM4TSE2MQANM3","target":"record","payload":{"canonical_record":{"source":{"id":"2101.07917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-20T01:05:33Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"4301fb960f49729657e6486e61e01ec59d966a65f1fbe237db82145b905f7e50","abstract_canon_sha256":"870bdefde7c1c2acbd65d6d86cc7e5fdc64d469fc4923e3cfa1e2607b79b3d3c"},"schema_version":"1.0"},"canonical_sha256":"ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:47:30.324976Z","signature_b64":"UDR3xXwqhYqizHEGHMy/qqLh577tW+IoPSuc6fHemV3RDonS4vHicDh9ZS3ifERNEBXPj0Bqs9N55jV7UMODBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c","last_reissued_at":"2026-07-05T02:47:30.324445Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:47:30.324445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.07917","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:47:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B7j/SaJYMIvPaTW8tqVVtHZBv9gH26hau3QaVwddxxG4arlUJrTVYO9p0GAH6EEFHelRAQ07eVItgzwdXi3CDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:27:22.308759Z"},"content_sha256":"7c625520fe83f345a2ed759ce195c7cdf35b1ccb9e611b2a4c2d8445bec2c874","schema_version":"1.0","event_id":"sha256:7c625520fe83f345a2ed759ce195c7cdf35b1ccb9e611b2a4c2d8445bec2c874"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ZIRFBOGZE4WRTGM4TSE2MQANM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the thermodynamics of the Hayward black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"J.R. Villanueva, Mart\\'in Molina","submitted_at":"2021-01-20T01:05:33Z","abstract_excerpt":"In light of the growing interest in the Hayward black hole solution, a detailed study on the corresponding lapse function and its roots is presented. The lapse function is expressed in terms of the classical Schwarzschild radius $r_s$ and the Hayward's parameter $l$. Both of these quantities are used as thermodynamic variables to find related thermodynamic quantities. In this context, the variable $l$ is associated with a canonical conjugate variable $\\mathcal{F}_H$, and a free energy $\\Xi$. Moreover, a second order phase transition is found to appears at $l\\approx0.333\\,r_s$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.07917","kind":"arxiv","version":1},"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/2101.07917/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:47:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FArqw/okWcNb0ctSE+TxAYkCq5+oXPFMww2DH7CZUmsKzZ/MWbNI1sNwGxMrPAGGtAO7fk5jKnZJdvgoWDsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:27:22.309339Z"},"content_sha256":"ac6d8a5b522cfa483db675ca00bffc143a3506321f2faeaf4b9ba03bcb183197","schema_version":"1.0","event_id":"sha256:ac6d8a5b522cfa483db675ca00bffc143a3506321f2faeaf4b9ba03bcb183197"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/bundle.json","state_url":"https://pith.science/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T14:27:22Z","links":{"resolver":"https://pith.science/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3","bundle":"https://pith.science/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/bundle.json","state":"https://pith.science/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIRFBOGZE4WRTGM4TSE2MQANM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZIRFBOGZE4WRTGM4TSE2MQANM3","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":"870bdefde7c1c2acbd65d6d86cc7e5fdc64d469fc4923e3cfa1e2607b79b3d3c","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-20T01:05:33Z","title_canon_sha256":"4301fb960f49729657e6486e61e01ec59d966a65f1fbe237db82145b905f7e50"},"schema_version":"1.0","source":{"id":"2101.07917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.07917","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"arxiv_version","alias_value":"2101.07917v1","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.07917","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZIRFBOGZE4WR","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIRFBOGZE4WRTGM4","created_at":"2026-07-05T02:47:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIRFBOGZ","created_at":"2026-07-05T02:47:30Z"}],"graph_snapshots":[{"event_id":"sha256:ac6d8a5b522cfa483db675ca00bffc143a3506321f2faeaf4b9ba03bcb183197","target":"graph","created_at":"2026-07-05T02:47:30Z","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/2101.07917/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In light of the growing interest in the Hayward black hole solution, a detailed study on the corresponding lapse function and its roots is presented. The lapse function is expressed in terms of the classical Schwarzschild radius $r_s$ and the Hayward's parameter $l$. Both of these quantities are used as thermodynamic variables to find related thermodynamic quantities. In this context, the variable $l$ is associated with a canonical conjugate variable $\\mathcal{F}_H$, and a free energy $\\Xi$. Moreover, a second order phase transition is found to appears at $l\\approx0.333\\,r_s$.","authors_text":"J.R. Villanueva, Mart\\'in Molina","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-20T01:05:33Z","title":"On the thermodynamics of the Hayward black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.07917","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":"sha256:7c625520fe83f345a2ed759ce195c7cdf35b1ccb9e611b2a4c2d8445bec2c874","target":"record","created_at":"2026-07-05T02:47:30Z","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":"870bdefde7c1c2acbd65d6d86cc7e5fdc64d469fc4923e3cfa1e2607b79b3d3c","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-20T01:05:33Z","title_canon_sha256":"4301fb960f49729657e6486e61e01ec59d966a65f1fbe237db82145b905f7e50"},"schema_version":"1.0","source":{"id":"2101.07917","kind":"arxiv","version":1}},"canonical_sha256":"ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c","first_computed_at":"2026-07-05T02:47:30.324445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:47:30.324445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UDR3xXwqhYqizHEGHMy/qqLh577tW+IoPSuc6fHemV3RDonS4vHicDh9ZS3ifERNEBXPj0Bqs9N55jV7UMODBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:47:30.324976Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.07917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c625520fe83f345a2ed759ce195c7cdf35b1ccb9e611b2a4c2d8445bec2c874","sha256:ac6d8a5b522cfa483db675ca00bffc143a3506321f2faeaf4b9ba03bcb183197"],"state_sha256":"9986b64ca5b53a53326a2f50aef455429d92118509ac1bc357c52fa1bdb7a89d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwVbZxYQ3v1mYvOnMPEYq7ZwcMIylFesDGtpHmCFcx6RRQgzqpDORvhSusCjeEHVUghlMypO/WMyowR6mr5pDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T14:27:22.313050Z","bundle_sha256":"e40582c48ea5dbe05581708d7c1639e372d55c12efc1125bc6fc5895696ab56b"}}