{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DEYML35C3A3M5YQLU4HXC4S7HK","short_pith_number":"pith:DEYML35C","canonical_record":{"source":{"id":"1607.02476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-08T18:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"509538fe0af4feabe9fca719c82b9d1888ade0f42f726777db2c5d18e55efc72","abstract_canon_sha256":"c295686c8693bb2a167461435f2143b00e82a398ba05b2f301bf25b204b1703e"},"schema_version":"1.0"},"canonical_sha256":"1930c5efa2d836cee20ba70f71725f3a9eb86fcec5df458c5bd06ab230b42bc9","source":{"kind":"arxiv","id":"1607.02476","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02476","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02476v1","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02476","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"DEYML35C3A3M","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DEYML35C3A3M5YQL","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DEYML35C","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DEYML35C3A3M5YQLU4HXC4S7HK","target":"record","payload":{"canonical_record":{"source":{"id":"1607.02476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-08T18:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"509538fe0af4feabe9fca719c82b9d1888ade0f42f726777db2c5d18e55efc72","abstract_canon_sha256":"c295686c8693bb2a167461435f2143b00e82a398ba05b2f301bf25b204b1703e"},"schema_version":"1.0"},"canonical_sha256":"1930c5efa2d836cee20ba70f71725f3a9eb86fcec5df458c5bd06ab230b42bc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:57.948685Z","signature_b64":"cANLxtzCirDWMzjCsUnWIso/X0djdQ2sYLpqkZYw/geCwQd3UrISvs9OwmRTm8Io26Q79ez9UDtpkNRqwdTgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1930c5efa2d836cee20ba70f71725f3a9eb86fcec5df458c5bd06ab230b42bc9","last_reissued_at":"2026-05-18T00:59:57.948103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:57.948103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.02476","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":"2026-05-18T00:59:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/icfUTOxeul7xuR4IX15FTYY2IoN16rCxG7bpH18vjgCxFJMpgLbS8/SwJsNnBG7xYNSN9esjUCs4RDe9opyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:02:19.601563Z"},"content_sha256":"b25f08775ec5b442b5282038e2cb4177c9bd1e73dbb582600c8968a32885e2eb","schema_version":"1.0","event_id":"sha256:b25f08775ec5b442b5282038e2cb4177c9bd1e73dbb582600c8968a32885e2eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DEYML35C3A3M5YQLU4HXC4S7HK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"L. A. Lopez, N. Breton","submitted_at":"2016-07-08T18:05:19Z","abstract_excerpt":"The expressions for the quasinormal modes (QNMs) of black holes with nonlinear electrodynamics, calculated in the eikonal approximation, are presented. In the eikonal limit QNMs of black holes are determined by the parameters of the circular null geodesics. The unstable circular null orbits are derived from the effective metric that is the one obeyed by light rays under the influence of a nonlinear electromagnetic field. As an illustration we calculate the QNMs of four nonlinear electromagnetic black holes, two singular and two regular, namely from Euler-Heisenberg and Born-Infeld theories, fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02476","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":""},"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":"2026-05-18T00:59:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"huOpukWhsAshKkgHb8yO1kUyPTv5qj4TBqriE5HDjmqDkDnSGOT/I9x1mCq0vc/WP+PTrgy37Gqvih37QsN3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:02:19.602249Z"},"content_sha256":"4f51a1ef82fce56df06886a3c48fba4ec10d263dab5965a482710769c117d10d","schema_version":"1.0","event_id":"sha256:4f51a1ef82fce56df06886a3c48fba4ec10d263dab5965a482710769c117d10d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEYML35C3A3M5YQLU4HXC4S7HK/bundle.json","state_url":"https://pith.science/pith/DEYML35C3A3M5YQLU4HXC4S7HK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEYML35C3A3M5YQLU4HXC4S7HK/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":"2026-05-28T22:02:19Z","links":{"resolver":"https://pith.science/pith/DEYML35C3A3M5YQLU4HXC4S7HK","bundle":"https://pith.science/pith/DEYML35C3A3M5YQLU4HXC4S7HK/bundle.json","state":"https://pith.science/pith/DEYML35C3A3M5YQLU4HXC4S7HK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEYML35C3A3M5YQLU4HXC4S7HK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DEYML35C3A3M5YQLU4HXC4S7HK","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":"c295686c8693bb2a167461435f2143b00e82a398ba05b2f301bf25b204b1703e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-08T18:05:19Z","title_canon_sha256":"509538fe0af4feabe9fca719c82b9d1888ade0f42f726777db2c5d18e55efc72"},"schema_version":"1.0","source":{"id":"1607.02476","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02476","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02476v1","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02476","created_at":"2026-05-18T00:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"DEYML35C3A3M","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DEYML35C3A3M5YQL","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DEYML35C","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:4f51a1ef82fce56df06886a3c48fba4ec10d263dab5965a482710769c117d10d","target":"graph","created_at":"2026-05-18T00:59:57Z","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"},"paper":{"abstract_excerpt":"The expressions for the quasinormal modes (QNMs) of black holes with nonlinear electrodynamics, calculated in the eikonal approximation, are presented. In the eikonal limit QNMs of black holes are determined by the parameters of the circular null geodesics. The unstable circular null orbits are derived from the effective metric that is the one obeyed by light rays under the influence of a nonlinear electromagnetic field. As an illustration we calculate the QNMs of four nonlinear electromagnetic black holes, two singular and two regular, namely from Euler-Heisenberg and Born-Infeld theories, fo","authors_text":"L. A. Lopez, N. Breton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-08T18:05:19Z","title":"Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02476","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:b25f08775ec5b442b5282038e2cb4177c9bd1e73dbb582600c8968a32885e2eb","target":"record","created_at":"2026-05-18T00:59:57Z","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":"c295686c8693bb2a167461435f2143b00e82a398ba05b2f301bf25b204b1703e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-08T18:05:19Z","title_canon_sha256":"509538fe0af4feabe9fca719c82b9d1888ade0f42f726777db2c5d18e55efc72"},"schema_version":"1.0","source":{"id":"1607.02476","kind":"arxiv","version":1}},"canonical_sha256":"1930c5efa2d836cee20ba70f71725f3a9eb86fcec5df458c5bd06ab230b42bc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1930c5efa2d836cee20ba70f71725f3a9eb86fcec5df458c5bd06ab230b42bc9","first_computed_at":"2026-05-18T00:59:57.948103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:57.948103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cANLxtzCirDWMzjCsUnWIso/X0djdQ2sYLpqkZYw/geCwQd3UrISvs9OwmRTm8Io26Q79ez9UDtpkNRqwdTgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:57.948685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.02476","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b25f08775ec5b442b5282038e2cb4177c9bd1e73dbb582600c8968a32885e2eb","sha256:4f51a1ef82fce56df06886a3c48fba4ec10d263dab5965a482710769c117d10d"],"state_sha256":"81763eacbfe7b6cdc91a2ce08732611999c9124cf61a5c8a96df54c4bcf857c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBlUZRlzexX9f4LvQ2FOq9TTKc0/l6LCQU2Y6hD4WaMATy78cEQEuVdZRYYkUgZUZjbHiMI7hzcqaIRofA6SBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:02:19.606054Z","bundle_sha256":"1dd8ba00a14b775a7f4a0310aa31bd32fade96aa3815e42eb2c34e06d2c780d7"}}