{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:EQZYHMKSJ2BCDE6TSBFBYTORFV","short_pith_number":"pith:EQZYHMKS","canonical_record":{"source":{"id":"2406.06685","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-10T18:00:04Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","nucl-th"],"title_canon_sha256":"766a404c68efec647340146cd6b42f048f94e7f5be07e841fab683bb80a92674","abstract_canon_sha256":"456c89bce6d957f04a52f1d64188d5f04d68d49a07b8c0cea3966b46749a52d9"},"schema_version":"1.0"},"canonical_sha256":"243383b1524e822193d3904a1c4dd12d615ba85d25791d78478ecda6f8736c49","source":{"kind":"arxiv","id":"2406.06685","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06685","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06685v3","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06685","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"EQZYHMKSJ2BC","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_16","alias_value":"EQZYHMKSJ2BCDE6T","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_8","alias_value":"EQZYHMKS","created_at":"2026-07-05T09:39:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:EQZYHMKSJ2BCDE6TSBFBYTORFV","target":"record","payload":{"canonical_record":{"source":{"id":"2406.06685","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-10T18:00:04Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","nucl-th"],"title_canon_sha256":"766a404c68efec647340146cd6b42f048f94e7f5be07e841fab683bb80a92674","abstract_canon_sha256":"456c89bce6d957f04a52f1d64188d5f04d68d49a07b8c0cea3966b46749a52d9"},"schema_version":"1.0"},"canonical_sha256":"243383b1524e822193d3904a1c4dd12d615ba85d25791d78478ecda6f8736c49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:39:07.133132Z","signature_b64":"zyztz+eZ+O8w1BfCMrSxzsI59RtzQ5MP/3emcLr86VI8Y+XMz958vlsXfIUJ1pD442w9Ae3oAz81obZ04gi8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"243383b1524e822193d3904a1c4dd12d615ba85d25791d78478ecda6f8736c49","last_reissued_at":"2026-07-05T09:39:07.132614Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:39:07.132614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.06685","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":"2026-07-05T09:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yap2Y7Wu+XkbxuskL106QjF/6EQxHtDptHnJ0e0z/E4ICXG6zKe6LTHYkmWAgBrgtKIjHajs9tRb6AhSwU6tAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:50:17.783822Z"},"content_sha256":"1e7387a86f06f257394dd81196d3a4b0b4264fd82d741a83bcc7e52c37e712aa","schema_version":"1.0","event_id":"sha256:1e7387a86f06f257394dd81196d3a4b0b4264fd82d741a83bcc7e52c37e712aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:EQZYHMKSJ2BCDE6TSBFBYTORFV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transient dynamics of quasinormal mode sums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc","nucl-th"],"primary_cat":"hep-th","authors_text":"Benjamin Withers, Javier Carballo","submitted_at":"2024-06-10T18:00:04Z","abstract_excerpt":"Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the black hole pseudospectrum programme. In this work we show that non-normality leads to the existence of arbitrarily long-lived sums of short-lived quasinormal modes, corresponding to localising packets of energy near the future horizon. There exist sums of $M$ quasinormal modes whose lifetimes scale as $\\log{M}$. This transient behaviour results from large cancellations between non-orthogonal quasinormal modes. We provi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06685","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/2406.06685/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":"2026-07-05T09:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9spA6hkyx2xh9CMlz7UDX2h+nOi9UCgJixRboqJMhFUFXkby4vLOmNi3vsMPOT/0QXa66tEuAr0aMTbjcXxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:50:17.784388Z"},"content_sha256":"3293556f7ec78c40b0a8a389b3e9868372bf14761f73b24a183ff3855aa5e933","schema_version":"1.0","event_id":"sha256:3293556f7ec78c40b0a8a389b3e9868372bf14761f73b24a183ff3855aa5e933"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/bundle.json","state_url":"https://pith.science/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/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":"2026-08-08T15:50:17Z","links":{"resolver":"https://pith.science/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV","bundle":"https://pith.science/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/bundle.json","state":"https://pith.science/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQZYHMKSJ2BCDE6TSBFBYTORFV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EQZYHMKSJ2BCDE6TSBFBYTORFV","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":"456c89bce6d957f04a52f1d64188d5f04d68d49a07b8c0cea3966b46749a52d9","cross_cats_sorted":["cond-mat.str-el","gr-qc","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-10T18:00:04Z","title_canon_sha256":"766a404c68efec647340146cd6b42f048f94e7f5be07e841fab683bb80a92674"},"schema_version":"1.0","source":{"id":"2406.06685","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06685","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06685v3","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06685","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"EQZYHMKSJ2BC","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_16","alias_value":"EQZYHMKSJ2BCDE6T","created_at":"2026-07-05T09:39:07Z"},{"alias_kind":"pith_short_8","alias_value":"EQZYHMKS","created_at":"2026-07-05T09:39:07Z"}],"graph_snapshots":[{"event_id":"sha256:3293556f7ec78c40b0a8a389b3e9868372bf14761f73b24a183ff3855aa5e933","target":"graph","created_at":"2026-07-05T09:39:07Z","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/2406.06685/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the black hole pseudospectrum programme. In this work we show that non-normality leads to the existence of arbitrarily long-lived sums of short-lived quasinormal modes, corresponding to localising packets of energy near the future horizon. There exist sums of $M$ quasinormal modes whose lifetimes scale as $\\log{M}$. This transient behaviour results from large cancellations between non-orthogonal quasinormal modes. We provi","authors_text":"Benjamin Withers, Javier Carballo","cross_cats":["cond-mat.str-el","gr-qc","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-10T18:00:04Z","title":"Transient dynamics of quasinormal mode sums"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06685","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":"sha256:1e7387a86f06f257394dd81196d3a4b0b4264fd82d741a83bcc7e52c37e712aa","target":"record","created_at":"2026-07-05T09:39:07Z","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":"456c89bce6d957f04a52f1d64188d5f04d68d49a07b8c0cea3966b46749a52d9","cross_cats_sorted":["cond-mat.str-el","gr-qc","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-10T18:00:04Z","title_canon_sha256":"766a404c68efec647340146cd6b42f048f94e7f5be07e841fab683bb80a92674"},"schema_version":"1.0","source":{"id":"2406.06685","kind":"arxiv","version":3}},"canonical_sha256":"243383b1524e822193d3904a1c4dd12d615ba85d25791d78478ecda6f8736c49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"243383b1524e822193d3904a1c4dd12d615ba85d25791d78478ecda6f8736c49","first_computed_at":"2026-07-05T09:39:07.132614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:39:07.132614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zyztz+eZ+O8w1BfCMrSxzsI59RtzQ5MP/3emcLr86VI8Y+XMz958vlsXfIUJ1pD442w9Ae3oAz81obZ04gi8Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:39:07.133132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.06685","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e7387a86f06f257394dd81196d3a4b0b4264fd82d741a83bcc7e52c37e712aa","sha256:3293556f7ec78c40b0a8a389b3e9868372bf14761f73b24a183ff3855aa5e933"],"state_sha256":"3ac95bb95af521285eb1e69342a2137264e4bd25f7a6725db47252062a0a0a3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QJFfaHbkUlKwST/tF9Xlm3OdzvqvdpQ5QGp7V4E7/wCAXXm4w5hH5VY5npxq/kAyK+6MtDYop48U2Qy1oWgTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:50:17.788583Z","bundle_sha256":"a6e47102321130212df9ce8ef7468237f25c56317b0fc8397e18251da6118443"}}