{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:V65JL3XZE7W4RLGUFTDBLZU35R","short_pith_number":"pith:V65JL3XZ","canonical_record":{"source":{"id":"2401.15430","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-27T14:52:07Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5d72a7436f19f99166f9afc7d0fef756ff336ceb8a0a39edc8715d3fa4a503dc","abstract_canon_sha256":"2d4a698fcb11c6e3cddca927a29985e371ae1ef1a5b3cf2f1eaaa4dc4573d270"},"schema_version":"1.0"},"canonical_sha256":"afba95eef927edc8acd42cc615e69bec67bd659b1111349e9b22502ca2b44450","source":{"kind":"arxiv","id":"2401.15430","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.15430","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"arxiv_version","alias_value":"2401.15430v3","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.15430","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_12","alias_value":"V65JL3XZE7W4","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_16","alias_value":"V65JL3XZE7W4RLGU","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_8","alias_value":"V65JL3XZ","created_at":"2026-07-05T08:36:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:V65JL3XZE7W4RLGUFTDBLZU35R","target":"record","payload":{"canonical_record":{"source":{"id":"2401.15430","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-27T14:52:07Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5d72a7436f19f99166f9afc7d0fef756ff336ceb8a0a39edc8715d3fa4a503dc","abstract_canon_sha256":"2d4a698fcb11c6e3cddca927a29985e371ae1ef1a5b3cf2f1eaaa4dc4573d270"},"schema_version":"1.0"},"canonical_sha256":"afba95eef927edc8acd42cc615e69bec67bd659b1111349e9b22502ca2b44450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:36:45.290650Z","signature_b64":"NJWMfHdKgN75U3JFYc3jE6J8WCPhoWtrh3LKeO1fA5wtEqlv7hQWz2x163vuGlivrf2Nr7lUAHih17QjTJsVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afba95eef927edc8acd42cc615e69bec67bd659b1111349e9b22502ca2b44450","last_reissued_at":"2026-07-05T08:36:45.290193Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:36:45.290193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.15430","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:36:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k/WGh1qb2RHRKqKKvj/jJDoVBoepxk6NmQ53KXpUiDy+VXOoLFxh8E+rTj138R79qW1OfcWR47Kx3nSGB9EODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:37:08.693072Z"},"content_sha256":"f20e56ea6777543a3e68bd8e5408e8691ff20f7e40437d1ff1305814993f4278","schema_version":"1.0","event_id":"sha256:f20e56ea6777543a3e68bd8e5408e8691ff20f7e40437d1ff1305814993f4278"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:V65JL3XZE7W4RLGUFTDBLZU35R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on thermodynamics of Schwarzschild-like bumblebee black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Yu-Sen An","submitted_at":"2024-01-27T14:52:07Z","abstract_excerpt":"In this work, we investigated the thermodynamics of Schwarzschild-like bumblebee black hole using Iyer-Wald covariant phase space formalism. With a non zero vacuum expectation value, the bumblebee field is responsible for spontaneously breaking the Lorentz symmetry. As the bumblebee field is non-minimally coupled to gravity, we showed that the thermodynamic variables will be different from the counterpart in Einstein gravity. Especially, by using Iyer-Wald formalism, we found that the black hole entropy also differs from the result obtained from Wald entropy formula. Like Horndeski gravity, th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.15430","kind":"arxiv","version":3},"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/2401.15430/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":"2026-07-05T08:36:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DV3v1pBCq+rFAlR7OFDhhb3J0eTpxaXvAx3MRcujZw6V5SigJZZZrp9jECrWcsU2CXoRBPalrFgpPUlmZ/JFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:37:08.693816Z"},"content_sha256":"d65e9257551fca50f0e578531e25ffa1941abc2afd696e40f7de71adb0e4160c","schema_version":"1.0","event_id":"sha256:d65e9257551fca50f0e578531e25ffa1941abc2afd696e40f7de71adb0e4160c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V65JL3XZE7W4RLGUFTDBLZU35R/bundle.json","state_url":"https://pith.science/pith/V65JL3XZE7W4RLGUFTDBLZU35R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V65JL3XZE7W4RLGUFTDBLZU35R/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":"2026-08-19T22:37:08Z","links":{"resolver":"https://pith.science/pith/V65JL3XZE7W4RLGUFTDBLZU35R","bundle":"https://pith.science/pith/V65JL3XZE7W4RLGUFTDBLZU35R/bundle.json","state":"https://pith.science/pith/V65JL3XZE7W4RLGUFTDBLZU35R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V65JL3XZE7W4RLGUFTDBLZU35R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:V65JL3XZE7W4RLGUFTDBLZU35R","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":"2d4a698fcb11c6e3cddca927a29985e371ae1ef1a5b3cf2f1eaaa4dc4573d270","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-27T14:52:07Z","title_canon_sha256":"5d72a7436f19f99166f9afc7d0fef756ff336ceb8a0a39edc8715d3fa4a503dc"},"schema_version":"1.0","source":{"id":"2401.15430","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.15430","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"arxiv_version","alias_value":"2401.15430v3","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.15430","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_12","alias_value":"V65JL3XZE7W4","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_16","alias_value":"V65JL3XZE7W4RLGU","created_at":"2026-07-05T08:36:45Z"},{"alias_kind":"pith_short_8","alias_value":"V65JL3XZ","created_at":"2026-07-05T08:36:45Z"}],"graph_snapshots":[{"event_id":"sha256:d65e9257551fca50f0e578531e25ffa1941abc2afd696e40f7de71adb0e4160c","target":"graph","created_at":"2026-07-05T08:36:45Z","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/2401.15430/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigated the thermodynamics of Schwarzschild-like bumblebee black hole using Iyer-Wald covariant phase space formalism. With a non zero vacuum expectation value, the bumblebee field is responsible for spontaneously breaking the Lorentz symmetry. As the bumblebee field is non-minimally coupled to gravity, we showed that the thermodynamic variables will be different from the counterpart in Einstein gravity. Especially, by using Iyer-Wald formalism, we found that the black hole entropy also differs from the result obtained from Wald entropy formula. Like Horndeski gravity, th","authors_text":"Yu-Sen An","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-27T14:52:07Z","title":"Notes on thermodynamics of Schwarzschild-like bumblebee black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.15430","kind":"arxiv","version":3},"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:f20e56ea6777543a3e68bd8e5408e8691ff20f7e40437d1ff1305814993f4278","target":"record","created_at":"2026-07-05T08:36:45Z","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":"2d4a698fcb11c6e3cddca927a29985e371ae1ef1a5b3cf2f1eaaa4dc4573d270","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-01-27T14:52:07Z","title_canon_sha256":"5d72a7436f19f99166f9afc7d0fef756ff336ceb8a0a39edc8715d3fa4a503dc"},"schema_version":"1.0","source":{"id":"2401.15430","kind":"arxiv","version":3}},"canonical_sha256":"afba95eef927edc8acd42cc615e69bec67bd659b1111349e9b22502ca2b44450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afba95eef927edc8acd42cc615e69bec67bd659b1111349e9b22502ca2b44450","first_computed_at":"2026-07-05T08:36:45.290193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:36:45.290193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJWMfHdKgN75U3JFYc3jE6J8WCPhoWtrh3LKeO1fA5wtEqlv7hQWz2x163vuGlivrf2Nr7lUAHih17QjTJsVAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:36:45.290650Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.15430","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f20e56ea6777543a3e68bd8e5408e8691ff20f7e40437d1ff1305814993f4278","sha256:d65e9257551fca50f0e578531e25ffa1941abc2afd696e40f7de71adb0e4160c"],"state_sha256":"d072c724e98f1d9cbc5453f11459d8e38dfee1cd525d49ea413c07fa029b257c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qVMkwbOGYfkMBQodevLWg5VgFF2rURVyXK5aQh1AP0wGXKO9cLns3st5p/HPya1vo14NMC6lskQcus49IxACAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T22:37:08.698789Z","bundle_sha256":"e84c716cc44ac5ccaa37e9f35ee0dc3ca8c1a00dfef4ca0b3bc53ac1cbdeafa6"}}