{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:476LDVWU2R5H65FYY64TPCQVHC","short_pith_number":"pith:476LDVWU","canonical_record":{"source":{"id":"0906.4086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-22T18:21:00Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"50c9b85a33cbd2badab122a20642d0a9845741348a849df5e22080e5b063594a","abstract_canon_sha256":"e57c33dd7a3c88985b4b9889c77f4bbfa1284d1ad0da56ca02e33a710002035b"},"schema_version":"1.0"},"canonical_sha256":"e7fcb1d6d4d47a7f74b8c7b9378a153885981fb1de3e32aafdb8f76be63fc809","source":{"kind":"arxiv","id":"0906.4086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4086","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4086v2","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4086","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"476LDVWU2R5H","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"476LDVWU2R5H65FY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"476LDVWU","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:476LDVWU2R5H65FYY64TPCQVHC","target":"record","payload":{"canonical_record":{"source":{"id":"0906.4086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-22T18:21:00Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"50c9b85a33cbd2badab122a20642d0a9845741348a849df5e22080e5b063594a","abstract_canon_sha256":"e57c33dd7a3c88985b4b9889c77f4bbfa1284d1ad0da56ca02e33a710002035b"},"schema_version":"1.0"},"canonical_sha256":"e7fcb1d6d4d47a7f74b8c7b9378a153885981fb1de3e32aafdb8f76be63fc809","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:59.266490Z","signature_b64":"zY9OtSZ9+NRD7EEkhqrX0wQ4oFGaUifXzYdViIks2gwWQsCVZCVjE/8l1j0jGpIuXU/rCg9PqNWfep+Ar6C8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7fcb1d6d4d47a7f74b8c7b9378a153885981fb1de3e32aafdb8f76be63fc809","last_reissued_at":"2026-05-18T03:23:59.265714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:59.265714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.4086","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":"2026-05-18T03:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kp+RjpUVsu2Epv7Ut1wEZL2Ulrk9GgztOyHBotQEqgIJamXPSJGQF91jKbPelweOZx2TGTW1Z3gxjXaA4MRDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:53:53.191739Z"},"content_sha256":"bc440f4813ab709a2806388e0be6b355e96ef731203f553ebe3fc18b45ac0e85","schema_version":"1.0","event_id":"sha256:bc440f4813ab709a2806388e0be6b355e96ef731203f553ebe3fc18b45ac0e85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:476LDVWU2R5H65FYY64TPCQVHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The effect of short ray trajectories on the scattering statistics of wave chaotic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Edward Ott, James A. Hart, Thomas M. Antonsen","submitted_at":"2009-06-22T18:21:00Z","abstract_excerpt":"In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system specific information into the statistical model, such as the introduction of the average scattering matrix in the Poisson kernel. Here it is shown that the average impedance matrix, which also characterizes the system-specific properties, can be expressed in terms of classical trajectories that travel between ports and thus can be calculated semiclassically. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4086","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":"2026-05-18T03:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMPynssfVRVI0eabCEdCrt8NKF4twPt4moOAcTOo6s+uh8dmD5DfaO9v5uEcNlU+4o222mVqodRznUPv9H8iDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:53:53.192444Z"},"content_sha256":"78797014b2ea7efe42b8532136076f5ccc43d440549a09055b3751e9159cbe8a","schema_version":"1.0","event_id":"sha256:78797014b2ea7efe42b8532136076f5ccc43d440549a09055b3751e9159cbe8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/476LDVWU2R5H65FYY64TPCQVHC/bundle.json","state_url":"https://pith.science/pith/476LDVWU2R5H65FYY64TPCQVHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/476LDVWU2R5H65FYY64TPCQVHC/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":"2026-05-28T22:53:53Z","links":{"resolver":"https://pith.science/pith/476LDVWU2R5H65FYY64TPCQVHC","bundle":"https://pith.science/pith/476LDVWU2R5H65FYY64TPCQVHC/bundle.json","state":"https://pith.science/pith/476LDVWU2R5H65FYY64TPCQVHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/476LDVWU2R5H65FYY64TPCQVHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:476LDVWU2R5H65FYY64TPCQVHC","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":"e57c33dd7a3c88985b4b9889c77f4bbfa1284d1ad0da56ca02e33a710002035b","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-22T18:21:00Z","title_canon_sha256":"50c9b85a33cbd2badab122a20642d0a9845741348a849df5e22080e5b063594a"},"schema_version":"1.0","source":{"id":"0906.4086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4086","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4086v2","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4086","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"476LDVWU2R5H","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"476LDVWU2R5H65FY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"476LDVWU","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:78797014b2ea7efe42b8532136076f5ccc43d440549a09055b3751e9159cbe8a","target":"graph","created_at":"2026-05-18T03:23:59Z","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":"In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system specific information into the statistical model, such as the introduction of the average scattering matrix in the Poisson kernel. Here it is shown that the average impedance matrix, which also characterizes the system-specific properties, can be expressed in terms of classical trajectories that travel between ports and thus can be calculated semiclassically. Th","authors_text":"Edward Ott, James A. Hart, Thomas M. Antonsen","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-22T18:21:00Z","title":"The effect of short ray trajectories on the scattering statistics of wave chaotic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4086","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:bc440f4813ab709a2806388e0be6b355e96ef731203f553ebe3fc18b45ac0e85","target":"record","created_at":"2026-05-18T03:23:59Z","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":"e57c33dd7a3c88985b4b9889c77f4bbfa1284d1ad0da56ca02e33a710002035b","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-06-22T18:21:00Z","title_canon_sha256":"50c9b85a33cbd2badab122a20642d0a9845741348a849df5e22080e5b063594a"},"schema_version":"1.0","source":{"id":"0906.4086","kind":"arxiv","version":2}},"canonical_sha256":"e7fcb1d6d4d47a7f74b8c7b9378a153885981fb1de3e32aafdb8f76be63fc809","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7fcb1d6d4d47a7f74b8c7b9378a153885981fb1de3e32aafdb8f76be63fc809","first_computed_at":"2026-05-18T03:23:59.265714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:59.265714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zY9OtSZ9+NRD7EEkhqrX0wQ4oFGaUifXzYdViIks2gwWQsCVZCVjE/8l1j0jGpIuXU/rCg9PqNWfep+Ar6C8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:59.266490Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc440f4813ab709a2806388e0be6b355e96ef731203f553ebe3fc18b45ac0e85","sha256:78797014b2ea7efe42b8532136076f5ccc43d440549a09055b3751e9159cbe8a"],"state_sha256":"dfb017b1f2ea39aa5f8cd1a79ff61bd2bd643973ce0d662f9aa707d19db629c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3x49eDoozgykiwBNBfM3GT6GIZZbVH4jD8J6WAn9Tjl15yZcmU1sTMVKW2XPLCqRvaDGJ6eIAngqSmqhDvKAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:53:53.195643Z","bundle_sha256":"8cc31e5cc4a7868666d2b1fb594daa477a3d214cbf6df58816664cef10cf2566"}}