{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3XOHF7LSWCOC335M6SMPNUV7QF","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":"a45769bdd0b97942aec764651f78202ab2bc80e46c9305dd3fcd2021c6e5f748","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-30T09:04:09Z","title_canon_sha256":"1767bb5b33ebb2e5553c7966f945e48669b4b5d473459e60f0e45a285f8cdbdf"},"schema_version":"1.0","source":{"id":"2308.15886","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.15886","created_at":"2026-07-05T08:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"2308.15886v2","created_at":"2026-07-05T08:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15886","created_at":"2026-07-05T08:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"3XOHF7LSWCOC","created_at":"2026-07-05T08:05:01Z"},{"alias_kind":"pith_short_16","alias_value":"3XOHF7LSWCOC335M","created_at":"2026-07-05T08:05:01Z"},{"alias_kind":"pith_short_8","alias_value":"3XOHF7LS","created_at":"2026-07-05T08:05:01Z"}],"graph_snapshots":[{"event_id":"sha256:e306dbb65586f39821766429ebb734a4523b2321c135fe568510aeeb85b94bc6","target":"graph","created_at":"2026-07-05T08:05:01Z","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/2308.15886/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in black hole perturbation theory which takes advantage from the fact that the non-linear sources are peaked around the light ring. As a byproduct, we describe why the amplitude of the second-order mode relative to the square of the first-order amplitude depends only weakly on the initial condition of the problem.","authors_text":"Alex Kehagias, Antonio Riotto, Davide Perrone, Thomas Barreira","cross_cats":["astro-ph.CO","hep-ph"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-30T09:04:09Z","title":"Non-linear Black Hole Ringdowns: an Analytical Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15886","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":"sha256:15956e179f379fecbc396312fc6dd4505c1b477e6e764e16a5faae3933382413","target":"record","created_at":"2026-07-05T08:05:01Z","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":"a45769bdd0b97942aec764651f78202ab2bc80e46c9305dd3fcd2021c6e5f748","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-30T09:04:09Z","title_canon_sha256":"1767bb5b33ebb2e5553c7966f945e48669b4b5d473459e60f0e45a285f8cdbdf"},"schema_version":"1.0","source":{"id":"2308.15886","kind":"arxiv","version":2}},"canonical_sha256":"dddc72fd72b09c2defacf498f6d2bf816e9a1db28451faa765adae42c3013e32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dddc72fd72b09c2defacf498f6d2bf816e9a1db28451faa765adae42c3013e32","first_computed_at":"2026-07-05T08:05:01.515757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:05:01.515757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f/n+PNyFoIXnzuo34wDCWwjjvbCiDLf6TsHKkaMt1YsEDfc3mPMbCbA5cAwMZjqu3HtA9OP9CVxRtYmZN5SMBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:05:01.516218Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.15886","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15956e179f379fecbc396312fc6dd4505c1b477e6e764e16a5faae3933382413","sha256:e306dbb65586f39821766429ebb734a4523b2321c135fe568510aeeb85b94bc6"],"state_sha256":"8c10b3017a68fa564ddb8a27c95222384a2cf5c77d42090c5ae1b1e8f2b298e1"}