{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7H2I7GTYMWQRR75V2VAEGXORSU","short_pith_number":"pith:7H2I7GTY","canonical_record":{"source":{"id":"2209.02559","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2022-09-06T15:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"36a7910059dcc119327ab415b03560dc21bf63a3fc621c5ae349533e1081815a","abstract_canon_sha256":"07cbd73a0b22b9ae83b06b207fba233930539e5d162a4764e20358a394d490f8"},"schema_version":"1.0"},"canonical_sha256":"f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017","source":{"kind":"arxiv","id":"2209.02559","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.02559","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.02559v2","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02559","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"7H2I7GTYMWQR","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_16","alias_value":"7H2I7GTYMWQRR75V","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_8","alias_value":"7H2I7GTY","created_at":"2026-07-05T06:01:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7H2I7GTYMWQRR75V2VAEGXORSU","target":"record","payload":{"canonical_record":{"source":{"id":"2209.02559","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2022-09-06T15:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"36a7910059dcc119327ab415b03560dc21bf63a3fc621c5ae349533e1081815a","abstract_canon_sha256":"07cbd73a0b22b9ae83b06b207fba233930539e5d162a4764e20358a394d490f8"},"schema_version":"1.0"},"canonical_sha256":"f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:01:59.223699Z","signature_b64":"cb3EQLIuvIyuiciDLRwbKXjmSfm+hKOUCXtWgzZJu3g4qgwpdpwPh9kT9KD8n5d76rnvO2aRN5/ZRPDnEYxmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017","last_reissued_at":"2026-07-05T06:01:59.223362Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:01:59.223362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.02559","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":"2026-07-05T06:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYc576KAk5Be/hNc+r2hvWQ5uWgRyfDrHno6/xbRAat1IHygFn+0zdwH92vx0erLmQp2Kk6opWf/sM2F4mYFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:21:53.361725Z"},"content_sha256":"4043d4268d758a75ca96bd2ae9eeff8204cd28b7c89d24176e340692fd828e49","schema_version":"1.0","event_id":"sha256:4043d4268d758a75ca96bd2ae9eeff8204cd28b7c89d24176e340692fd828e49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7H2I7GTYMWQRR75V2VAEGXORSU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Aofei Sang, Jie Jiang, Ming Zhang, Shao-Wen Wei","submitted_at":"2022-09-06T15:11:01Z","abstract_excerpt":"Black hole echo is an important observable that can help us better understand gravitational theories. We present that the non-linear electrodynamic black holes can admit the multi-peak effective potential for the scalar perturbations, which can give rise to the echoes. After choosing suitable parameters, the effective potential can exhibit a structure with more than two peaks. Putting the initial wave packet released outside the peaks, we find that the time-domain profile of the echo will split when the peaks of the effective potential change from two to three. This is a phenomenon of black ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02559","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/2209.02559/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":"2026-07-05T06:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9oap23Dq/7d5ZAW3ZSmmzKkLky+CRjb8kiilGCbzHJz6cqcbuLHK5qc8gDe1vz8VgIyojP5cSOlQWIiIZS98Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:21:53.362265Z"},"content_sha256":"656c7f26262ece8c1a9a88c6c0f88f922fd36d2210682023a2177beaaba3e57c","schema_version":"1.0","event_id":"sha256:656c7f26262ece8c1a9a88c6c0f88f922fd36d2210682023a2177beaaba3e57c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7H2I7GTYMWQRR75V2VAEGXORSU/bundle.json","state_url":"https://pith.science/pith/7H2I7GTYMWQRR75V2VAEGXORSU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7H2I7GTYMWQRR75V2VAEGXORSU/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":"2026-08-08T16:21:53Z","links":{"resolver":"https://pith.science/pith/7H2I7GTYMWQRR75V2VAEGXORSU","bundle":"https://pith.science/pith/7H2I7GTYMWQRR75V2VAEGXORSU/bundle.json","state":"https://pith.science/pith/7H2I7GTYMWQRR75V2VAEGXORSU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7H2I7GTYMWQRR75V2VAEGXORSU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7H2I7GTYMWQRR75V2VAEGXORSU","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":"07cbd73a0b22b9ae83b06b207fba233930539e5d162a4764e20358a394d490f8","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2022-09-06T15:11:01Z","title_canon_sha256":"36a7910059dcc119327ab415b03560dc21bf63a3fc621c5ae349533e1081815a"},"schema_version":"1.0","source":{"id":"2209.02559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.02559","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.02559v2","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02559","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"7H2I7GTYMWQR","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_16","alias_value":"7H2I7GTYMWQRR75V","created_at":"2026-07-05T06:01:59Z"},{"alias_kind":"pith_short_8","alias_value":"7H2I7GTY","created_at":"2026-07-05T06:01:59Z"}],"graph_snapshots":[{"event_id":"sha256:656c7f26262ece8c1a9a88c6c0f88f922fd36d2210682023a2177beaaba3e57c","target":"graph","created_at":"2026-07-05T06:01:59Z","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/2209.02559/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Black hole echo is an important observable that can help us better understand gravitational theories. We present that the non-linear electrodynamic black holes can admit the multi-peak effective potential for the scalar perturbations, which can give rise to the echoes. After choosing suitable parameters, the effective potential can exhibit a structure with more than two peaks. Putting the initial wave packet released outside the peaks, we find that the time-domain profile of the echo will split when the peaks of the effective potential change from two to three. This is a phenomenon of black ho","authors_text":"Aofei Sang, Jie Jiang, Ming Zhang, Shao-Wen Wei","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2022-09-06T15:11:01Z","title":"Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02559","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":"sha256:4043d4268d758a75ca96bd2ae9eeff8204cd28b7c89d24176e340692fd828e49","target":"record","created_at":"2026-07-05T06:01:59Z","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":"07cbd73a0b22b9ae83b06b207fba233930539e5d162a4764e20358a394d490f8","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2022-09-06T15:11:01Z","title_canon_sha256":"36a7910059dcc119327ab415b03560dc21bf63a3fc621c5ae349533e1081815a"},"schema_version":"1.0","source":{"id":"2209.02559","kind":"arxiv","version":2}},"canonical_sha256":"f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017","first_computed_at":"2026-07-05T06:01:59.223362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:01:59.223362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cb3EQLIuvIyuiciDLRwbKXjmSfm+hKOUCXtWgzZJu3g4qgwpdpwPh9kT9KD8n5d76rnvO2aRN5/ZRPDnEYxmBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:01:59.223699Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.02559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4043d4268d758a75ca96bd2ae9eeff8204cd28b7c89d24176e340692fd828e49","sha256:656c7f26262ece8c1a9a88c6c0f88f922fd36d2210682023a2177beaaba3e57c"],"state_sha256":"48d3b13f0b59dbf80dc061dbe0c0f9c1341f3057361c293049f28f8c2327c990"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c10SbsWFDprNCqCZqojcm891Erj1kkj71iwUXrUZloZu9meHOy8XO8WVgvypgdtTjipr4bLMKO2Y9HsbUJIPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:21:53.366537Z","bundle_sha256":"3cbce07273a3c4048cc43bcce37da953a1a58508f1823bad7510fce3a78c6b55"}}