{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:HZ56S3L7ZBMWQRCVV4G5THVAFS","short_pith_number":"pith:HZ56S3L7","canonical_record":{"source":{"id":"0907.2660","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-07-15T17:13:15Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"5a776d4d4b55b5b5ad4736d3d904d1e5d99ea79567a3b347d18d353e97923f16","abstract_canon_sha256":"f9d2a896e95d10ade4f3fb3e6a9918e3f57556e23dbeeeb0d5b82ea2dc173878"},"schema_version":"1.0"},"canonical_sha256":"3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb","source":{"kind":"arxiv","id":"0907.2660","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2660","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2660v3","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2660","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"HZ56S3L7ZBMW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HZ56S3L7ZBMWQRCV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HZ56S3L7","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:HZ56S3L7ZBMWQRCVV4G5THVAFS","target":"record","payload":{"canonical_record":{"source":{"id":"0907.2660","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-07-15T17:13:15Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"5a776d4d4b55b5b5ad4736d3d904d1e5d99ea79567a3b347d18d353e97923f16","abstract_canon_sha256":"f9d2a896e95d10ade4f3fb3e6a9918e3f57556e23dbeeeb0d5b82ea2dc173878"},"schema_version":"1.0"},"canonical_sha256":"3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:54.678117Z","signature_b64":"WAxb8vjjqDNQBL57GnFn846ccO/1hyLJnk2xY+jhyUipLazSdw4YEiPdfizhPlQqGpEK9L4ADJRd2JqyEmyVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb","last_reissued_at":"2026-05-18T03:31:54.677503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:54.677503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.2660","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":"2026-05-18T03:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VkTcdc47ztJSRMs88FyQ02arkzTcLX/ulCRGlsN/YzF5dVBgPHwVOu29b0TQkVTnPtZyvFyEMQWeJbu/xlwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:51:54.838415Z"},"content_sha256":"af90dec125d6b97403880b4ce03892a52b7ae21cb5e43f3b71ee0f3bfe7ebc70","schema_version":"1.0","event_id":"sha256:af90dec125d6b97403880b4ce03892a52b7ae21cb5e43f3b71ee0f3bfe7ebc70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:HZ56S3L7ZBMWQRCVV4G5THVAFS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiclassical gaps in the density of states of chaotic Andreev billiards","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Cyril Petitjean, Daniel Waltner, Gregory Berkolaiko, Jack Kuipers, Klaus Richter","submitted_at":"2009-07-15T17:13:15Z","abstract_excerpt":"The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classical orbit correlations lead to the formation of the hard gap, as predicted by random matrix theory in the limit of negligible Ehrenfest time $\\tE$, and how the influence of a finite $\\tE$ causes the gap to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2660","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":""},"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":"2026-05-18T03:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZLJL7w9+Lz3cl+aztD/A32a9rk2JfC1b5+r7+JocEZDOqZJZ8wmkWWNA9oLW3y27aVNVY/6oyj53T8/ed3WAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:51:54.838779Z"},"content_sha256":"237a019126755ed280bb3def84c459fecce0ec3bf70a64f6d0922c0ec2b4facc","schema_version":"1.0","event_id":"sha256:237a019126755ed280bb3def84c459fecce0ec3bf70a64f6d0922c0ec2b4facc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/bundle.json","state_url":"https://pith.science/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/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":"2026-05-30T07:51:54Z","links":{"resolver":"https://pith.science/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS","bundle":"https://pith.science/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/bundle.json","state":"https://pith.science/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZ56S3L7ZBMWQRCVV4G5THVAFS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HZ56S3L7ZBMWQRCVV4G5THVAFS","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":"f9d2a896e95d10ade4f3fb3e6a9918e3f57556e23dbeeeb0d5b82ea2dc173878","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-07-15T17:13:15Z","title_canon_sha256":"5a776d4d4b55b5b5ad4736d3d904d1e5d99ea79567a3b347d18d353e97923f16"},"schema_version":"1.0","source":{"id":"0907.2660","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2660","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2660v3","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2660","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"HZ56S3L7ZBMW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HZ56S3L7ZBMWQRCV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HZ56S3L7","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:237a019126755ed280bb3def84c459fecce0ec3bf70a64f6d0922c0ec2b4facc","target":"graph","created_at":"2026-05-18T03:31:54Z","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 connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classical orbit correlations lead to the formation of the hard gap, as predicted by random matrix theory in the limit of negligible Ehrenfest time $\\tE$, and how the influence of a finite $\\tE$ causes the gap to","authors_text":"Cyril Petitjean, Daniel Waltner, Gregory Berkolaiko, Jack Kuipers, Klaus Richter","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-07-15T17:13:15Z","title":"Semiclassical gaps in the density of states of chaotic Andreev billiards"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2660","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:af90dec125d6b97403880b4ce03892a52b7ae21cb5e43f3b71ee0f3bfe7ebc70","target":"record","created_at":"2026-05-18T03:31:54Z","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":"f9d2a896e95d10ade4f3fb3e6a9918e3f57556e23dbeeeb0d5b82ea2dc173878","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-07-15T17:13:15Z","title_canon_sha256":"5a776d4d4b55b5b5ad4736d3d904d1e5d99ea79567a3b347d18d353e97923f16"},"schema_version":"1.0","source":{"id":"0907.2660","kind":"arxiv","version":3}},"canonical_sha256":"3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb","first_computed_at":"2026-05-18T03:31:54.677503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:54.677503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAxb8vjjqDNQBL57GnFn846ccO/1hyLJnk2xY+jhyUipLazSdw4YEiPdfizhPlQqGpEK9L4ADJRd2JqyEmyVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:54.678117Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.2660","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af90dec125d6b97403880b4ce03892a52b7ae21cb5e43f3b71ee0f3bfe7ebc70","sha256:237a019126755ed280bb3def84c459fecce0ec3bf70a64f6d0922c0ec2b4facc"],"state_sha256":"4e9d3feb57d4e82463efd0fb36d2e12665513b31bec0187d3012466cf06f6543"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3I5gXLUjTVydB8+THbl7h2rLqW70/ipedffKauXcTw9zQEDMbfLCdgX9uhl/vZ3Y0FOkqhUTP+ldzTrjNWYpBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:51:54.840701Z","bundle_sha256":"41876bc6d8c32645101e727de33ed8d603ae2e4aee98d22784dcf071089a0774"}}