{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:X7VF4IMONCP2N4S4ATODMN6WFS","short_pith_number":"pith:X7VF4IMO","canonical_record":{"source":{"id":"2501.11075","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-19T15:26:13Z","cross_cats_sorted":[],"title_canon_sha256":"af4d5b8bf906b23f30bf08d398e48396327eac57c738957a6b8476b189463403","abstract_canon_sha256":"9c71d5e539b620894bab12fadb259d8e2fd8f84fb252262db890fc5e9606ef77"},"schema_version":"1.0"},"canonical_sha256":"bfea5e218e689fa6f25c04dc3637d62cb002d3c82abc436883def4f6177724d5","source":{"kind":"arxiv","id":"2501.11075","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.11075","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"arxiv_version","alias_value":"2501.11075v1","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.11075","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_12","alias_value":"X7VF4IMONCP2","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_16","alias_value":"X7VF4IMONCP2N4S4","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_8","alias_value":"X7VF4IMO","created_at":"2026-07-05T10:04:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:X7VF4IMONCP2N4S4ATODMN6WFS","target":"record","payload":{"canonical_record":{"source":{"id":"2501.11075","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-19T15:26:13Z","cross_cats_sorted":[],"title_canon_sha256":"af4d5b8bf906b23f30bf08d398e48396327eac57c738957a6b8476b189463403","abstract_canon_sha256":"9c71d5e539b620894bab12fadb259d8e2fd8f84fb252262db890fc5e9606ef77"},"schema_version":"1.0"},"canonical_sha256":"bfea5e218e689fa6f25c04dc3637d62cb002d3c82abc436883def4f6177724d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:22.689659Z","signature_b64":"6KjuG+fgRDmeBy/Utq11X73uShkA6wvVzNB8eDWKVpik7ao7lNVhsUv19SlVIKcMoxUgX55dO1wh/Tk2hpi0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfea5e218e689fa6f25c04dc3637d62cb002d3c82abc436883def4f6177724d5","last_reissued_at":"2026-07-05T10:04:22.689173Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:22.689173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.11075","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":"2026-07-05T10:04:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WycXp8ql2JBlHxsl26jGbXwP5iWn2JeuHS9SsX8W7Tan8Cwt7xxb2XFBsC5CZkb/yN0lP1/krCfS5p1X2EqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:20:03.512779Z"},"content_sha256":"c9e5532988b9dc0aec53490e4cbbbe0fc82e8ab52f9058c6006dbbbee31e5cdd","schema_version":"1.0","event_id":"sha256:c9e5532988b9dc0aec53490e4cbbbe0fc82e8ab52f9058c6006dbbbee31e5cdd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:X7VF4IMONCP2N4S4ATODMN6WFS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The thermodynamic stability and phase structure of the Einstein-Euler-Heisenberg-AdS black holes","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hongbo Cheng, Yinan Zhao","submitted_at":"2025-01-19T15:26:13Z","abstract_excerpt":"In both canonical ensemble and grand canonical ensemble, the thermodynamic stability and phase structure of Einstein-Euler-Heisenberg-AdS black hole are studied. We derive the Hawking temperature, Helmholtz free energy, Gibbs potential, entropy and heat capacity of the black holes. We compute the minimum temperature to find that the phase transition may happen at the lowest point. The entropy-temperature diagram consists of two parts. The upper part belonging to the large black holes under the influence from the electromagnetic self-interactions keeps the positive heat capacity, leading the hu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.11075","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/2501.11075/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":"2026-07-05T10:04:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"er/OzKPsAtj9rtwY6zrcZWBSuZLkgZsNY2Mn82nCyaF1NiP6Hf1Cm8ChQqR1VDf8KQnEtPJpiWUBUrbO7A+/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:20:03.513288Z"},"content_sha256":"d8ee509f1256fa602dddc5567f25926e317738b9ce8fcb711d8c35efa2772262","schema_version":"1.0","event_id":"sha256:d8ee509f1256fa602dddc5567f25926e317738b9ce8fcb711d8c35efa2772262"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7VF4IMONCP2N4S4ATODMN6WFS/bundle.json","state_url":"https://pith.science/pith/X7VF4IMONCP2N4S4ATODMN6WFS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7VF4IMONCP2N4S4ATODMN6WFS/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":"2026-08-16T22:20:03Z","links":{"resolver":"https://pith.science/pith/X7VF4IMONCP2N4S4ATODMN6WFS","bundle":"https://pith.science/pith/X7VF4IMONCP2N4S4ATODMN6WFS/bundle.json","state":"https://pith.science/pith/X7VF4IMONCP2N4S4ATODMN6WFS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7VF4IMONCP2N4S4ATODMN6WFS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:X7VF4IMONCP2N4S4ATODMN6WFS","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":"9c71d5e539b620894bab12fadb259d8e2fd8f84fb252262db890fc5e9606ef77","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-19T15:26:13Z","title_canon_sha256":"af4d5b8bf906b23f30bf08d398e48396327eac57c738957a6b8476b189463403"},"schema_version":"1.0","source":{"id":"2501.11075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.11075","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"arxiv_version","alias_value":"2501.11075v1","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.11075","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_12","alias_value":"X7VF4IMONCP2","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_16","alias_value":"X7VF4IMONCP2N4S4","created_at":"2026-07-05T10:04:22Z"},{"alias_kind":"pith_short_8","alias_value":"X7VF4IMO","created_at":"2026-07-05T10:04:22Z"}],"graph_snapshots":[{"event_id":"sha256:d8ee509f1256fa602dddc5567f25926e317738b9ce8fcb711d8c35efa2772262","target":"graph","created_at":"2026-07-05T10:04:22Z","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/2501.11075/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In both canonical ensemble and grand canonical ensemble, the thermodynamic stability and phase structure of Einstein-Euler-Heisenberg-AdS black hole are studied. We derive the Hawking temperature, Helmholtz free energy, Gibbs potential, entropy and heat capacity of the black holes. We compute the minimum temperature to find that the phase transition may happen at the lowest point. The entropy-temperature diagram consists of two parts. The upper part belonging to the large black holes under the influence from the electromagnetic self-interactions keeps the positive heat capacity, leading the hu","authors_text":"Hongbo Cheng, Yinan Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-19T15:26:13Z","title":"The thermodynamic stability and phase structure of the Einstein-Euler-Heisenberg-AdS black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.11075","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:c9e5532988b9dc0aec53490e4cbbbe0fc82e8ab52f9058c6006dbbbee31e5cdd","target":"record","created_at":"2026-07-05T10:04:22Z","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":"9c71d5e539b620894bab12fadb259d8e2fd8f84fb252262db890fc5e9606ef77","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-19T15:26:13Z","title_canon_sha256":"af4d5b8bf906b23f30bf08d398e48396327eac57c738957a6b8476b189463403"},"schema_version":"1.0","source":{"id":"2501.11075","kind":"arxiv","version":1}},"canonical_sha256":"bfea5e218e689fa6f25c04dc3637d62cb002d3c82abc436883def4f6177724d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfea5e218e689fa6f25c04dc3637d62cb002d3c82abc436883def4f6177724d5","first_computed_at":"2026-07-05T10:04:22.689173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:22.689173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KjuG+fgRDmeBy/Utq11X73uShkA6wvVzNB8eDWKVpik7ao7lNVhsUv19SlVIKcMoxUgX55dO1wh/Tk2hpi0Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:22.689659Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.11075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9e5532988b9dc0aec53490e4cbbbe0fc82e8ab52f9058c6006dbbbee31e5cdd","sha256:d8ee509f1256fa602dddc5567f25926e317738b9ce8fcb711d8c35efa2772262"],"state_sha256":"b0fa4118859f940af8bfec05f89039dbb71ff0666082216c3a04e834e8d23062"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"89Vx4lQQRmRD5AO4QqkPJpAm+c9dh5ldqV5IjkKO+zpL+0XoCGveUiiRikT9ZZseYMdyK5Oxl7F8c2YbEmbVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T22:20:03.517475Z","bundle_sha256":"056969424a233b58c527f3b1d11009ef65668cb6eb2fb8ed0f4222c77724a9ac"}}