{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:ETGQNMI5V2YMRLAMRWRVADOZHN","short_pith_number":"pith:ETGQNMI5","canonical_record":{"source":{"id":"hep-th/0307122","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-07-14T12:04:48Z","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"title_canon_sha256":"3464b7137dabd5c84cd69d9f2e19de31d7a53de544a685b8859cc7351bc7d515","abstract_canon_sha256":"bf9de8df7957b9b9dc8cf6c9af37aba4ad3cc893cce7b1f8ad5af10f722d731c"},"schema_version":"1.0"},"canonical_sha256":"24cd06b11daeb0c8ac0c8da3500dd93b4c72057ebb4293e9bb69eca95e5ccc9f","source":{"kind":"arxiv","id":"hep-th/0307122","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0307122","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0307122v3","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0307122","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"ETGQNMI5V2YM","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_16","alias_value":"ETGQNMI5V2YMRLAM","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_8","alias_value":"ETGQNMI5","created_at":"2026-07-04T16:41:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:ETGQNMI5V2YMRLAMRWRVADOZHN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0307122","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-07-14T12:04:48Z","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"title_canon_sha256":"3464b7137dabd5c84cd69d9f2e19de31d7a53de544a685b8859cc7351bc7d515","abstract_canon_sha256":"bf9de8df7957b9b9dc8cf6c9af37aba4ad3cc893cce7b1f8ad5af10f722d731c"},"schema_version":"1.0"},"canonical_sha256":"24cd06b11daeb0c8ac0c8da3500dd93b4c72057ebb4293e9bb69eca95e5ccc9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:20.117786Z","signature_b64":"o0z94BS4hgdzaSTui/EkMK449lN8FHuCFIJbepC6dBLfhsM7wbR1IK5jRXKuX1jHhjiIcDzHfyRqh6Q1Hiu0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24cd06b11daeb0c8ac0c8da3500dd93b4c72057ebb4293e9bb69eca95e5ccc9f","last_reissued_at":"2026-07-04T16:41:20.117404Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:20.117404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0307122","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":"2026-07-04T16:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"74P6Z4OFgqHA6vfQpuzWpvVVnqs5vkZW2x9quw3MB3Nz/Y4pBfKYOvVZwM6ypeWzzkVEfo/0HYHctrqelveSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:30:35.000328Z"},"content_sha256":"3159a8ab99d6ae1090f8c670ac794be800984a0e4526498a6715478fb97e0b3c","schema_version":"1.0","event_id":"sha256:3159a8ab99d6ae1090f8c670ac794be800984a0e4526498a6715478fb97e0b3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:ETGQNMI5V2YMRLAMRWRVADOZHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Late-Time Tails of Wave Propagation in Higher Dimensional Spacetimes","license":"","headline":"","cross_cats":["astro-ph","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Jose' P. S. Lemos, Oscar J. C. Dias, Shijun Yoshida, Vitor Cardoso","submitted_at":"2003-07-14T12:04:48Z","abstract_excerpt":"We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a power-law falloff, but the power-law is highly sensitive to the dimensionality of the spacetime. Accordingly, for odd D>3 we find that the field behaves as t^[-(2l+D-2)] at late times, where l is the angular index determining the angular dependence of the field. This behavior is entirely due to D being odd, it does not depend on the presence of a black hole i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0307122","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/hep-th/0307122/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":"2026-07-04T16:41:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FxJqNNdiZUuKw5QEM7DwT/rDF6UV4INvJwN5D8+pun9StaGMp1uUgUlNaIs8keZm+swv/5kkJ11jNBlP/+L2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:30:35.001047Z"},"content_sha256":"d57a6122bbe2b0b5efaff2cdc0c240a8bcc53a7808e95e76812786cdd9fcc995","schema_version":"1.0","event_id":"sha256:d57a6122bbe2b0b5efaff2cdc0c240a8bcc53a7808e95e76812786cdd9fcc995"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/bundle.json","state_url":"https://pith.science/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/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":"2026-08-04T21:30:35Z","links":{"resolver":"https://pith.science/pith/ETGQNMI5V2YMRLAMRWRVADOZHN","bundle":"https://pith.science/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/bundle.json","state":"https://pith.science/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETGQNMI5V2YMRLAMRWRVADOZHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:ETGQNMI5V2YMRLAMRWRVADOZHN","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":"bf9de8df7957b9b9dc8cf6c9af37aba4ad3cc893cce7b1f8ad5af10f722d731c","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-14T12:04:48Z","title_canon_sha256":"3464b7137dabd5c84cd69d9f2e19de31d7a53de544a685b8859cc7351bc7d515"},"schema_version":"1.0","source":{"id":"hep-th/0307122","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0307122","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0307122v3","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0307122","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_12","alias_value":"ETGQNMI5V2YM","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_16","alias_value":"ETGQNMI5V2YMRLAM","created_at":"2026-07-04T16:41:20Z"},{"alias_kind":"pith_short_8","alias_value":"ETGQNMI5","created_at":"2026-07-04T16:41:20Z"}],"graph_snapshots":[{"event_id":"sha256:d57a6122bbe2b0b5efaff2cdc0c240a8bcc53a7808e95e76812786cdd9fcc995","target":"graph","created_at":"2026-07-04T16:41:20Z","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/hep-th/0307122/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a power-law falloff, but the power-law is highly sensitive to the dimensionality of the spacetime. Accordingly, for odd D>3 we find that the field behaves as t^[-(2l+D-2)] at late times, where l is the angular index determining the angular dependence of the field. This behavior is entirely due to D being odd, it does not depend on the presence of a black hole i","authors_text":"Jose' P. S. Lemos, Oscar J. C. Dias, Shijun Yoshida, Vitor Cardoso","cross_cats":["astro-ph","gr-qc","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-07-14T12:04:48Z","title":"Late-Time Tails of Wave Propagation in Higher Dimensional Spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0307122","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":"sha256:3159a8ab99d6ae1090f8c670ac794be800984a0e4526498a6715478fb97e0b3c","target":"record","created_at":"2026-07-04T16:41:20Z","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":"bf9de8df7957b9b9dc8cf6c9af37aba4ad3cc893cce7b1f8ad5af10f722d731c","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-14T12:04:48Z","title_canon_sha256":"3464b7137dabd5c84cd69d9f2e19de31d7a53de544a685b8859cc7351bc7d515"},"schema_version":"1.0","source":{"id":"hep-th/0307122","kind":"arxiv","version":3}},"canonical_sha256":"24cd06b11daeb0c8ac0c8da3500dd93b4c72057ebb4293e9bb69eca95e5ccc9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24cd06b11daeb0c8ac0c8da3500dd93b4c72057ebb4293e9bb69eca95e5ccc9f","first_computed_at":"2026-07-04T16:41:20.117404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:20.117404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o0z94BS4hgdzaSTui/EkMK449lN8FHuCFIJbepC6dBLfhsM7wbR1IK5jRXKuX1jHhjiIcDzHfyRqh6Q1Hiu0Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:20.117786Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0307122","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3159a8ab99d6ae1090f8c670ac794be800984a0e4526498a6715478fb97e0b3c","sha256:d57a6122bbe2b0b5efaff2cdc0c240a8bcc53a7808e95e76812786cdd9fcc995"],"state_sha256":"b67e95ffbfb8fadc57e0491f4f02943ac3d50af92264bb2d05528d208fffd81d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pB6XlHvO6WxD94T+mEFZLov3AwQnj5xo82ZqJ5jpsbLPeQ1x8bCC5nB6fdwM8F/Qd5gLq7HHMDh9OFa/gVf7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:30:35.006449Z","bundle_sha256":"27eccc342559f7ef7d9ee4bd619d1ff6388a7defdbdad4e3dbc4d50a644e1225"}}