{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BVLRTWRHLMTWTO6WLAJZCDHRCY","short_pith_number":"pith:BVLRTWRH","canonical_record":{"source":{"id":"1409.1532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-04T18:54:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"30f362e327bee698f95bbc8535393c86a59c97c9e28107c7d5f5216417dc1c7f","abstract_canon_sha256":"6af6510b178976cba292ae042013f224b81d8b31a53fb608b82233cde9ee4e05"},"schema_version":"1.0"},"canonical_sha256":"0d5719da275b2769bbd65813910cf1162bb8dd9723cd03e079ee402bc1ffa529","source":{"kind":"arxiv","id":"1409.1532","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1532","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1532v2","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1532","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"pith_short_12","alias_value":"BVLRTWRHLMTW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BVLRTWRHLMTWTO6W","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BVLRTWRH","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BVLRTWRHLMTWTO6WLAJZCDHRCY","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-04T18:54:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"30f362e327bee698f95bbc8535393c86a59c97c9e28107c7d5f5216417dc1c7f","abstract_canon_sha256":"6af6510b178976cba292ae042013f224b81d8b31a53fb608b82233cde9ee4e05"},"schema_version":"1.0"},"canonical_sha256":"0d5719da275b2769bbd65813910cf1162bb8dd9723cd03e079ee402bc1ffa529","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:35.691739Z","signature_b64":"3LRwsZrlZCumUx9ExfTwwSwqaKEte7keBmxq1esUou+biomhB2NNslboAhliCkbdqSzj8seqiIZHv9HzxjyUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d5719da275b2769bbd65813910cf1162bb8dd9723cd03e079ee402bc1ffa529","last_reissued_at":"2026-05-18T02:31:35.691237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:35.691237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1532","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":"2026-05-18T02:31:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OY+vXHNXObNzJwGzHlwngsGMbt2Uu3IGBQnBW7/ybkPoTgist6Onpsm8rCcV8QH4FaET0gsYDQmRYEscxaLQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:22:49.664088Z"},"content_sha256":"b2e323c5952ef1448da76807e7904d193aa0bfaf39d0011db18d794bf3494762","schema_version":"1.0","event_id":"sha256:b2e323c5952ef1448da76807e7904d193aa0bfaf39d0011db18d794bf3494762"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BVLRTWRHLMTWTO6WLAJZCDHRCY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient semiclassical approach for time delays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.CD","authors_text":"Dmitry V. Savin, Jack Kuipers, Martin Sieber","submitted_at":"2014-09-04T18:54:21Z","abstract_excerpt":"The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration of the scattering event. It is related to the trace of the Wigner-Smith matrix Q that also encodes other time-delay characteristics. For chaotic cavities, these exhibit universal fluctuations that are commonly described within random matrix theory. Here, we develop a new semiclassical approach to the time-delay matrix which is formulated in terms of the classical trajectories that connect the exterior and interior re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1532","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":""},"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":"2026-05-18T02:31:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7+ZWptMp9Odocq4BTPFufzJ1YHhxkN1ZJdVC/3Xc59Ewp0+bGleCWusSbvIqflbMLqZ4K16ZRVknDy8p+voFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:22:49.664869Z"},"content_sha256":"d5c66bce43a5b9a8e66a96d0e2a9383171d8f836753e7e068ec0d8d4e5a3a458","schema_version":"1.0","event_id":"sha256:d5c66bce43a5b9a8e66a96d0e2a9383171d8f836753e7e068ec0d8d4e5a3a458"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/bundle.json","state_url":"https://pith.science/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/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":"2026-05-30T02:22:49Z","links":{"resolver":"https://pith.science/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY","bundle":"https://pith.science/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/bundle.json","state":"https://pith.science/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVLRTWRHLMTWTO6WLAJZCDHRCY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BVLRTWRHLMTWTO6WLAJZCDHRCY","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":"6af6510b178976cba292ae042013f224b81d8b31a53fb608b82233cde9ee4e05","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-04T18:54:21Z","title_canon_sha256":"30f362e327bee698f95bbc8535393c86a59c97c9e28107c7d5f5216417dc1c7f"},"schema_version":"1.0","source":{"id":"1409.1532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1532","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1532v2","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1532","created_at":"2026-05-18T02:31:35Z"},{"alias_kind":"pith_short_12","alias_value":"BVLRTWRHLMTW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BVLRTWRHLMTWTO6W","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BVLRTWRH","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:d5c66bce43a5b9a8e66a96d0e2a9383171d8f836753e7e068ec0d8d4e5a3a458","target":"graph","created_at":"2026-05-18T02:31:35Z","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":"The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration of the scattering event. It is related to the trace of the Wigner-Smith matrix Q that also encodes other time-delay characteristics. For chaotic cavities, these exhibit universal fluctuations that are commonly described within random matrix theory. Here, we develop a new semiclassical approach to the time-delay matrix which is formulated in terms of the classical trajectories that connect the exterior and interior re","authors_text":"Dmitry V. Savin, Jack Kuipers, Martin Sieber","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-04T18:54:21Z","title":"Efficient semiclassical approach for time delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1532","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:b2e323c5952ef1448da76807e7904d193aa0bfaf39d0011db18d794bf3494762","target":"record","created_at":"2026-05-18T02:31:35Z","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":"6af6510b178976cba292ae042013f224b81d8b31a53fb608b82233cde9ee4e05","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-04T18:54:21Z","title_canon_sha256":"30f362e327bee698f95bbc8535393c86a59c97c9e28107c7d5f5216417dc1c7f"},"schema_version":"1.0","source":{"id":"1409.1532","kind":"arxiv","version":2}},"canonical_sha256":"0d5719da275b2769bbd65813910cf1162bb8dd9723cd03e079ee402bc1ffa529","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d5719da275b2769bbd65813910cf1162bb8dd9723cd03e079ee402bc1ffa529","first_computed_at":"2026-05-18T02:31:35.691237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:35.691237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3LRwsZrlZCumUx9ExfTwwSwqaKEte7keBmxq1esUou+biomhB2NNslboAhliCkbdqSzj8seqiIZHv9HzxjyUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:35.691739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2e323c5952ef1448da76807e7904d193aa0bfaf39d0011db18d794bf3494762","sha256:d5c66bce43a5b9a8e66a96d0e2a9383171d8f836753e7e068ec0d8d4e5a3a458"],"state_sha256":"ef6e9ef0234782dba43d8c6ebf9213fa83ca2eedbd078e9692ef475186133905"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGH6Z85mbqk04q/745nyfPVy0MfhVtV3K5/EDCqeqCDaustq4PenBWwX0S+3cgk2I0l/Ap8XBQSUfvyjsoo+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:22:49.669338Z","bundle_sha256":"808462de83489f2b8e3c34f403505cbeb0d72c832aec03022d2f3a902ccfee97"}}