{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:5R7NHOWY6CT6KQ2AYZGHWT22LB","short_pith_number":"pith:5R7NHOWY","canonical_record":{"source":{"id":"2004.07560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-16T09:59:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d13c491924ef9986752784df540d1c86cfcc035d0956f34a13c7a1a37e66cb0b","abstract_canon_sha256":"de7beb1f2bed11cda0288f441ea93e2306acff65ab858713d929df5f75b90a66"},"schema_version":"1.0"},"canonical_sha256":"ec7ed3bad8f0a7e54340c64c7b4f5a5861caea8086d6d036c106f4f79f2b73a8","source":{"kind":"arxiv","id":"2004.07560","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.07560","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"2004.07560v2","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.07560","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"5R7NHOWY6CT6","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"5R7NHOWY6CT6KQ2A","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"5R7NHOWY","created_at":"2026-07-05T01:14:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:5R7NHOWY6CT6KQ2AYZGHWT22LB","target":"record","payload":{"canonical_record":{"source":{"id":"2004.07560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-16T09:59:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d13c491924ef9986752784df540d1c86cfcc035d0956f34a13c7a1a37e66cb0b","abstract_canon_sha256":"de7beb1f2bed11cda0288f441ea93e2306acff65ab858713d929df5f75b90a66"},"schema_version":"1.0"},"canonical_sha256":"ec7ed3bad8f0a7e54340c64c7b4f5a5861caea8086d6d036c106f4f79f2b73a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:14:47.812475Z","signature_b64":"F7JgMa8qSCFDdWH4j+o/5fwoldoRfzLJGsgd+ZVZGW6H5AsAsmQR5BHHHY+YnWtCkX3SHlDsghcvOEPHThOPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec7ed3bad8f0a7e54340c64c7b4f5a5861caea8086d6d036c106f4f79f2b73a8","last_reissued_at":"2026-07-05T01:14:47.812018Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:14:47.812018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.07560","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":"2026-07-05T01:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5GSCQejPvrKe4EngFkn4ad0u9dpkXQAmB65AODF6MAym7VNz8qZoRzfHTFYfRblc55/GCGcBUmd1Dv+2RMspAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:42:31.472877Z"},"content_sha256":"9c4e909f22780d0f22c688f523b3372c532f16a4c74516686f96eabeb843121a","schema_version":"1.0","event_id":"sha256:9c4e909f22780d0f22c688f523b3372c532f16a4c74516686f96eabeb843121a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:5R7NHOWY6CT6KQ2AYZGHWT22LB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of magnetic black holes in general nonlinear electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Daisuke Yoshida, Jiro Soda, Kimihiro Nomura","submitted_at":"2020-04-16T09:59:12Z","abstract_excerpt":"We study the perturbative stability of magnetic black holes in a general class of nonlinear electrodynamics, where the Lagrangian is given by a general function of the field strength of electromagnetic field $F_{\\mu\\nu}$ and its Hodge dual $\\widetilde{F}_{\\mu\\nu}$. We derive sufficient conditions for the stability of the black holes. We apply the stability conditions to Bardeen's regular black holes, black holes in Euler-Heisenberg theory, and black holes in Born-Infeld theory. As a result, we obtain a sufficient condition for the stability of Bardeen's black holes, which restricts $F_{\\mu\\nu}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.07560","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/2004.07560/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":"2026-07-05T01:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMKpa/bHLZFtc6NGkDRYL+PTry8Jy4eLBZU75rfXQi2swber3TW9Xut+B5DnHNt134uErIbHLNQKhE4Gsed4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:42:31.473449Z"},"content_sha256":"a3a0ebd2094c50af65f4d40e3e0a00777c6871a4647a6c654e2fe5308640678f","schema_version":"1.0","event_id":"sha256:a3a0ebd2094c50af65f4d40e3e0a00777c6871a4647a6c654e2fe5308640678f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/bundle.json","state_url":"https://pith.science/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/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":"2026-08-08T19:42:31Z","links":{"resolver":"https://pith.science/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB","bundle":"https://pith.science/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/bundle.json","state":"https://pith.science/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5R7NHOWY6CT6KQ2AYZGHWT22LB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:5R7NHOWY6CT6KQ2AYZGHWT22LB","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":"de7beb1f2bed11cda0288f441ea93e2306acff65ab858713d929df5f75b90a66","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-16T09:59:12Z","title_canon_sha256":"d13c491924ef9986752784df540d1c86cfcc035d0956f34a13c7a1a37e66cb0b"},"schema_version":"1.0","source":{"id":"2004.07560","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.07560","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"2004.07560v2","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.07560","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"5R7NHOWY6CT6","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"5R7NHOWY6CT6KQ2A","created_at":"2026-07-05T01:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"5R7NHOWY","created_at":"2026-07-05T01:14:47Z"}],"graph_snapshots":[{"event_id":"sha256:a3a0ebd2094c50af65f4d40e3e0a00777c6871a4647a6c654e2fe5308640678f","target":"graph","created_at":"2026-07-05T01:14:47Z","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/2004.07560/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the perturbative stability of magnetic black holes in a general class of nonlinear electrodynamics, where the Lagrangian is given by a general function of the field strength of electromagnetic field $F_{\\mu\\nu}$ and its Hodge dual $\\widetilde{F}_{\\mu\\nu}$. We derive sufficient conditions for the stability of the black holes. We apply the stability conditions to Bardeen's regular black holes, black holes in Euler-Heisenberg theory, and black holes in Born-Infeld theory. As a result, we obtain a sufficient condition for the stability of Bardeen's black holes, which restricts $F_{\\mu\\nu}","authors_text":"Daisuke Yoshida, Jiro Soda, Kimihiro Nomura","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-16T09:59:12Z","title":"Stability of magnetic black holes in general nonlinear electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.07560","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":"sha256:9c4e909f22780d0f22c688f523b3372c532f16a4c74516686f96eabeb843121a","target":"record","created_at":"2026-07-05T01:14:47Z","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":"de7beb1f2bed11cda0288f441ea93e2306acff65ab858713d929df5f75b90a66","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-16T09:59:12Z","title_canon_sha256":"d13c491924ef9986752784df540d1c86cfcc035d0956f34a13c7a1a37e66cb0b"},"schema_version":"1.0","source":{"id":"2004.07560","kind":"arxiv","version":2}},"canonical_sha256":"ec7ed3bad8f0a7e54340c64c7b4f5a5861caea8086d6d036c106f4f79f2b73a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec7ed3bad8f0a7e54340c64c7b4f5a5861caea8086d6d036c106f4f79f2b73a8","first_computed_at":"2026-07-05T01:14:47.812018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:14:47.812018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F7JgMa8qSCFDdWH4j+o/5fwoldoRfzLJGsgd+ZVZGW6H5AsAsmQR5BHHHY+YnWtCkX3SHlDsghcvOEPHThOPCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:14:47.812475Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.07560","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c4e909f22780d0f22c688f523b3372c532f16a4c74516686f96eabeb843121a","sha256:a3a0ebd2094c50af65f4d40e3e0a00777c6871a4647a6c654e2fe5308640678f"],"state_sha256":"5167fe85800dc9d2d356658a37238ea9a0decbff90391a525082dfa9b6bf1363"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mHq+jwGaZvkuQy4g4naeRe9QNUNN4BpMmYycJoo9dvdmheAuIkuo11ONFFeLxNb8NOxAdt/i1PAhbLO2Z8wsCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T19:42:31.476925Z","bundle_sha256":"144ff87e1d3bd76e61137e915db76cc844e1c3cc11b28d3a8d21dad73146296d"}}