{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ULGHQ4IPXTXG7O3LGPYJLK6L42","short_pith_number":"pith:ULGHQ4IP","canonical_record":{"source":{"id":"1312.5247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-18T18:00:30Z","cross_cats_sorted":[],"title_canon_sha256":"51532391ffcc004b18a11372f7b75454582dec7b9769dfadb2af983e1e1291c1","abstract_canon_sha256":"407da1cc20f4148b29055d106617984728cc80af7fee59d1b55e12d080b1faed"},"schema_version":"1.0"},"canonical_sha256":"a2cc78710fbcee6fbb6b33f095abcbe6b8412e7649efc9daaae4f76326d6191a","source":{"kind":"arxiv","id":"1312.5247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5247","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5247v1","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5247","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"pith_short_12","alias_value":"ULGHQ4IPXTXG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"ULGHQ4IPXTXG7O3L","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"ULGHQ4IP","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ULGHQ4IPXTXG7O3LGPYJLK6L42","target":"record","payload":{"canonical_record":{"source":{"id":"1312.5247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-18T18:00:30Z","cross_cats_sorted":[],"title_canon_sha256":"51532391ffcc004b18a11372f7b75454582dec7b9769dfadb2af983e1e1291c1","abstract_canon_sha256":"407da1cc20f4148b29055d106617984728cc80af7fee59d1b55e12d080b1faed"},"schema_version":"1.0"},"canonical_sha256":"a2cc78710fbcee6fbb6b33f095abcbe6b8412e7649efc9daaae4f76326d6191a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:21.009257Z","signature_b64":"GaeuzoLDEK95d+XigRajl2AG9ZnUHBxPj3eFOAe0LstIZKXKLMLFSGm7RzOsiH11Gd1zRNMtHi+FrQsWcfyWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2cc78710fbcee6fbb6b33f095abcbe6b8412e7649efc9daaae4f76326d6191a","last_reissued_at":"2026-05-18T02:54:21.008833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:21.008833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.5247","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":"2026-05-18T02:54:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XZB8+uYZKaDpB1XC9qELbxfyUs8pWsd3ohL0mzgvn2g2PBJigMBdWay3zroYgNCJZDmzGk1RF5p1rEz1SZ/hBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T16:47:53.575551Z"},"content_sha256":"58810bfc39b4f039433ef504ab0a0c5e827f3a2ba2ebcc57b662eac8555e6a23","schema_version":"1.0","event_id":"sha256:58810bfc39b4f039433ef504ab0a0c5e827f3a2ba2ebcc57b662eac8555e6a23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ULGHQ4IPXTXG7O3LGPYJLK6L42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mode coupling mechanism for late-time Kerr tails","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gaurav Khanna, Lior M. Burko","submitted_at":"2013-12-18T18:00:30Z","abstract_excerpt":"We consider the decay rate for scalar fields in Kerr spacetime. We consider pure initial (azimuthal) multipoles $\\ell'$ with respect to the class which includes Boyer-Lindquist coordinates, and focus attention on the decay rate of the multipole $\\ell$. We use an iterative method proposed by Gleiser, Price, and Pullin, and identify the mode coupling mechanism through the iterations in powers of the square of the Kerr black hole's specific angular momentum that gives rise to a decay rate formula recently proposed by Zengino\\u{g}lu, Khanna, and Burko. Modes $\\ell$ may be excited through different"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5247","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":"2026-05-18T02:54:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8MlK4d5k2Cu+ep/zvbyKSCqCJv9SSMj7ZRnNxLkw4a7lYqsKQ3lTqiZKF1UaLzq20kf1xIXQYyTYOv3zSNNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T16:47:53.576238Z"},"content_sha256":"2a8918a9b3b6212e56247acd4f9aa782a3d74c7a69afb8292939623f8dd80278","schema_version":"1.0","event_id":"sha256:2a8918a9b3b6212e56247acd4f9aa782a3d74c7a69afb8292939623f8dd80278"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/bundle.json","state_url":"https://pith.science/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/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":"2026-05-23T16:47:53Z","links":{"resolver":"https://pith.science/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42","bundle":"https://pith.science/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/bundle.json","state":"https://pith.science/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULGHQ4IPXTXG7O3LGPYJLK6L42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ULGHQ4IPXTXG7O3LGPYJLK6L42","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":"407da1cc20f4148b29055d106617984728cc80af7fee59d1b55e12d080b1faed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-18T18:00:30Z","title_canon_sha256":"51532391ffcc004b18a11372f7b75454582dec7b9769dfadb2af983e1e1291c1"},"schema_version":"1.0","source":{"id":"1312.5247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5247","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5247v1","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5247","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"pith_short_12","alias_value":"ULGHQ4IPXTXG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"ULGHQ4IPXTXG7O3L","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"ULGHQ4IP","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:2a8918a9b3b6212e56247acd4f9aa782a3d74c7a69afb8292939623f8dd80278","target":"graph","created_at":"2026-05-18T02:54:21Z","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":"We consider the decay rate for scalar fields in Kerr spacetime. We consider pure initial (azimuthal) multipoles $\\ell'$ with respect to the class which includes Boyer-Lindquist coordinates, and focus attention on the decay rate of the multipole $\\ell$. We use an iterative method proposed by Gleiser, Price, and Pullin, and identify the mode coupling mechanism through the iterations in powers of the square of the Kerr black hole's specific angular momentum that gives rise to a decay rate formula recently proposed by Zengino\\u{g}lu, Khanna, and Burko. Modes $\\ell$ may be excited through different","authors_text":"Gaurav Khanna, Lior M. Burko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-18T18:00:30Z","title":"Mode coupling mechanism for late-time Kerr tails"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5247","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":"sha256:58810bfc39b4f039433ef504ab0a0c5e827f3a2ba2ebcc57b662eac8555e6a23","target":"record","created_at":"2026-05-18T02:54:21Z","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":"407da1cc20f4148b29055d106617984728cc80af7fee59d1b55e12d080b1faed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-18T18:00:30Z","title_canon_sha256":"51532391ffcc004b18a11372f7b75454582dec7b9769dfadb2af983e1e1291c1"},"schema_version":"1.0","source":{"id":"1312.5247","kind":"arxiv","version":1}},"canonical_sha256":"a2cc78710fbcee6fbb6b33f095abcbe6b8412e7649efc9daaae4f76326d6191a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2cc78710fbcee6fbb6b33f095abcbe6b8412e7649efc9daaae4f76326d6191a","first_computed_at":"2026-05-18T02:54:21.008833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:21.008833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GaeuzoLDEK95d+XigRajl2AG9ZnUHBxPj3eFOAe0LstIZKXKLMLFSGm7RzOsiH11Gd1zRNMtHi+FrQsWcfyWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:21.009257Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58810bfc39b4f039433ef504ab0a0c5e827f3a2ba2ebcc57b662eac8555e6a23","sha256:2a8918a9b3b6212e56247acd4f9aa782a3d74c7a69afb8292939623f8dd80278"],"state_sha256":"b76e2d14bc314de5de34880f0ecced3e3ff0b5d1ae5b6f7022b1ef4009a3a7f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lQhmh4owpf3Y6HlhmP9TsIG5Pq0gjwG1iBWOKDPJS3kOhptbU/97boDx7eL/C9YIFx4plYNR5ys9kUlZtsQRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T16:47:53.580017Z","bundle_sha256":"659721fd9afa4c38f91e398ac2e5ce32079ff54f74b39da6352c83471f573832"}}