{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JB4SHYGJE6UNVHUPXC6NGFSUTQ","short_pith_number":"pith:JB4SHYGJ","canonical_record":{"source":{"id":"2503.12306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-16T00:50:08Z","cross_cats_sorted":[],"title_canon_sha256":"301ec6a1320fec11a3514b9758b4dec3e6d3799948e39ffc56086f75cdda181e","abstract_canon_sha256":"00d505e912a0d97912cbbaf2debb4069bbcde32947b26df8094633ee564192ee"},"schema_version":"1.0"},"canonical_sha256":"487923e0c927a8da9e8fb8bcd316549c002ea1ea0c04e8bf5a1903d261a620f5","source":{"kind":"arxiv","id":"2503.12306","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.12306","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"arxiv_version","alias_value":"2503.12306v2","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.12306","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_12","alias_value":"JB4SHYGJE6UN","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_16","alias_value":"JB4SHYGJE6UNVHUP","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_8","alias_value":"JB4SHYGJ","created_at":"2026-07-05T11:35:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JB4SHYGJE6UNVHUPXC6NGFSUTQ","target":"record","payload":{"canonical_record":{"source":{"id":"2503.12306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-16T00:50:08Z","cross_cats_sorted":[],"title_canon_sha256":"301ec6a1320fec11a3514b9758b4dec3e6d3799948e39ffc56086f75cdda181e","abstract_canon_sha256":"00d505e912a0d97912cbbaf2debb4069bbcde32947b26df8094633ee564192ee"},"schema_version":"1.0"},"canonical_sha256":"487923e0c927a8da9e8fb8bcd316549c002ea1ea0c04e8bf5a1903d261a620f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:35:12.667109Z","signature_b64":"MsrF2dG10sT7E8cptAfpVJF81iawRiBatJNjG/fBb55eq5Bmmr0+v3h2X08hNdxCrJFbOPIfYX2ajFZMKQ5+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"487923e0c927a8da9e8fb8bcd316549c002ea1ea0c04e8bf5a1903d261a620f5","last_reissued_at":"2026-07-05T11:35:12.666468Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:35:12.666468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.12306","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:35:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNoxCGtOm1NKRC02pC2jKeWFHEn/ggyd2e8oYm7piKPYWUwdMIN2rTN5Tg/MskRPE0lmzMry1rwHh76F9oqGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:41:03.901279Z"},"content_sha256":"9ee908b88b67bb7fa2e5ace0c5b4d09548903dee35911eb309487478a6ac0454","schema_version":"1.0","event_id":"sha256:9ee908b88b67bb7fa2e5ace0c5b4d09548903dee35911eb309487478a6ac0454"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JB4SHYGJE6UNVHUPXC6NGFSUTQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Erdem Sucu, Huriye G\\\"ursel, Mert Mangut","submitted_at":"2025-03-16T00:50:08Z","abstract_excerpt":"This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically symmetric Einstein-Euler-Heisenberg black hole by taking the Hawking-Bekenstein entropy as the basis. The results are supported by graphical illustrations for certain Euler-Heisenberg and electric charge parameters, which are in turn used for making further comments on the stability and possible critical points of the concerned black hole. The thermodynamic analyses"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.12306","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.12306/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":"2026-07-05T11:35:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c3Y5pm+9hJsSbcODE/+rhmQmJZdQhxBR+L1NwIH7GmPjq6wVZG5jHVXRS/ecbnEEzIFNU0Cx+uJs+vow7/YiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:41:03.901564Z"},"content_sha256":"3192739777f2fb0e9a08d97d438c9232e4bc7bbc0d1998bc5678d00a95289ffb","schema_version":"1.0","event_id":"sha256:3192739777f2fb0e9a08d97d438c9232e4bc7bbc0d1998bc5678d00a95289ffb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/bundle.json","state_url":"https://pith.science/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/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":"2026-08-15T00:41:03Z","links":{"resolver":"https://pith.science/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ","bundle":"https://pith.science/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/bundle.json","state":"https://pith.science/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JB4SHYGJE6UNVHUPXC6NGFSUTQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JB4SHYGJE6UNVHUPXC6NGFSUTQ","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":"00d505e912a0d97912cbbaf2debb4069bbcde32947b26df8094633ee564192ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-16T00:50:08Z","title_canon_sha256":"301ec6a1320fec11a3514b9758b4dec3e6d3799948e39ffc56086f75cdda181e"},"schema_version":"1.0","source":{"id":"2503.12306","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.12306","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"arxiv_version","alias_value":"2503.12306v2","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.12306","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_12","alias_value":"JB4SHYGJE6UN","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_16","alias_value":"JB4SHYGJE6UNVHUP","created_at":"2026-07-05T11:35:12Z"},{"alias_kind":"pith_short_8","alias_value":"JB4SHYGJ","created_at":"2026-07-05T11:35:12Z"}],"graph_snapshots":[{"event_id":"sha256:3192739777f2fb0e9a08d97d438c9232e4bc7bbc0d1998bc5678d00a95289ffb","target":"graph","created_at":"2026-07-05T11:35:12Z","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/2503.12306/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically symmetric Einstein-Euler-Heisenberg black hole by taking the Hawking-Bekenstein entropy as the basis. The results are supported by graphical illustrations for certain Euler-Heisenberg and electric charge parameters, which are in turn used for making further comments on the stability and possible critical points of the concerned black hole. The thermodynamic analyses","authors_text":"Erdem Sucu, Huriye G\\\"ursel, Mert Mangut","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-16T00:50:08Z","title":"Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.12306","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":"sha256:9ee908b88b67bb7fa2e5ace0c5b4d09548903dee35911eb309487478a6ac0454","target":"record","created_at":"2026-07-05T11:35:12Z","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":"00d505e912a0d97912cbbaf2debb4069bbcde32947b26df8094633ee564192ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-03-16T00:50:08Z","title_canon_sha256":"301ec6a1320fec11a3514b9758b4dec3e6d3799948e39ffc56086f75cdda181e"},"schema_version":"1.0","source":{"id":"2503.12306","kind":"arxiv","version":2}},"canonical_sha256":"487923e0c927a8da9e8fb8bcd316549c002ea1ea0c04e8bf5a1903d261a620f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"487923e0c927a8da9e8fb8bcd316549c002ea1ea0c04e8bf5a1903d261a620f5","first_computed_at":"2026-07-05T11:35:12.666468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:12.666468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MsrF2dG10sT7E8cptAfpVJF81iawRiBatJNjG/fBb55eq5Bmmr0+v3h2X08hNdxCrJFbOPIfYX2ajFZMKQ5+BA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:12.667109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.12306","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ee908b88b67bb7fa2e5ace0c5b4d09548903dee35911eb309487478a6ac0454","sha256:3192739777f2fb0e9a08d97d438c9232e4bc7bbc0d1998bc5678d00a95289ffb"],"state_sha256":"21c222d3d4d183e24e83d2193f444ea07281b22ab95f1a0979b024a17778f500"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJ7mYqRQOly3Of97WBsN+aV42cGY9GTBYLhfKDaXtiM+wI9trgDXceeXUsSJS4kpa3Wo4R81g8pVFFCuxiUgAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T00:41:03.904683Z","bundle_sha256":"2a382c56c0614ecda126ce0b1b3c80383433949a05137a18dd4d971438cef12a"}}