{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:4CVGE4XR5MBKIFTR2IAXDIDN5P","short_pith_number":"pith:4CVGE4XR","canonical_record":{"source":{"id":"math-ph/0010042","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2000-10-25T12:34:49Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"74c366e81cd811ef7155d321d8f457e582e2dfae81d3d0defef63d504ec7f19a","abstract_canon_sha256":"7012d596687cb437a1e2b7cac594f282122625ee12c3febc938b118d184097b4"},"schema_version":"1.0"},"canonical_sha256":"e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af","source":{"kind":"arxiv","id":"math-ph/0010042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0010042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0010042v1","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0010042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"4CVGE4XR5MBK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4CVGE4XR5MBKIFTR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4CVGE4XR","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:4CVGE4XR5MBKIFTR2IAXDIDN5P","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0010042","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2000-10-25T12:34:49Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"74c366e81cd811ef7155d321d8f457e582e2dfae81d3d0defef63d504ec7f19a","abstract_canon_sha256":"7012d596687cb437a1e2b7cac594f282122625ee12c3febc938b118d184097b4"},"schema_version":"1.0"},"canonical_sha256":"e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:34.618369Z","signature_b64":"tQHh9OXbAP3mrSEWRTmWn06/nI6lUi81pwuRHqc9BvPfnDZTROliZ73s6k2FS2R13zGPX+a7mCtjpOaWuDPuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af","last_reissued_at":"2026-05-18T01:38:34.617863Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:34.617863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0010042","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":"2026-05-18T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VX56lyKo3uj5oXxK7E3XT5uUVBC4NkIg6uzBVTkStFJIVjybT96UmYGKDkA2MFdkLQlLIHkYU4dT2IiHYXLMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:30:00.940403Z"},"content_sha256":"be704500f6c7413bfa3be809e56bc37b4be9b0fd8804c178e3248c3ba748231f","schema_version":"1.0","event_id":"sha256:be704500f6c7413bfa3be809e56bc37b4be9b0fd8804c178e3248c3ba748231f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:4CVGE4XR5MBKIFTR2IAXDIDN5P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alain Joye, Pavel Exner","submitted_at":"2000-10-25T12:34:49Z","abstract_excerpt":"We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field $B$ parallel to the surface axis. Depending on $B$ and the surface geometry the transverse part of the spectrum typically exhibits many crossings which change to avoided crossings if a weak symmetry breaking interaction is introduced. We study the effect of such perturbations on the quantum propagation. This problem admits a natural reformulation to which tools from molecular dynamics can be applied. In turn, this leads to the study of a perturbation theory for the tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0010042","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":"2026-05-18T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o+hsMqB/vIItlzbv/USWaWVia7gQdIYrvkRHGvH/qCvh8hsA3IZNPnKKD5S+Z8NtDFxjteY8aJz4RiybkySABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:30:00.940808Z"},"content_sha256":"7a450f791c7b26df801e7b29276385a7921e13450c704460605a7438e4490e43","schema_version":"1.0","event_id":"sha256:7a450f791c7b26df801e7b29276385a7921e13450c704460605a7438e4490e43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/bundle.json","state_url":"https://pith.science/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/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":"2026-05-26T16:30:00Z","links":{"resolver":"https://pith.science/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P","bundle":"https://pith.science/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/bundle.json","state":"https://pith.science/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CVGE4XR5MBKIFTR2IAXDIDN5P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:4CVGE4XR5MBKIFTR2IAXDIDN5P","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":"7012d596687cb437a1e2b7cac594f282122625ee12c3febc938b118d184097b4","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2000-10-25T12:34:49Z","title_canon_sha256":"74c366e81cd811ef7155d321d8f457e582e2dfae81d3d0defef63d504ec7f19a"},"schema_version":"1.0","source":{"id":"math-ph/0010042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0010042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0010042v1","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0010042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"4CVGE4XR5MBK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4CVGE4XR5MBKIFTR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4CVGE4XR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:7a450f791c7b26df801e7b29276385a7921e13450c704460605a7438e4490e43","target":"graph","created_at":"2026-05-18T01:38:34Z","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 an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field $B$ parallel to the surface axis. Depending on $B$ and the surface geometry the transverse part of the spectrum typically exhibits many crossings which change to avoided crossings if a weak symmetry breaking interaction is introduced. We study the effect of such perturbations on the quantum propagation. This problem admits a natural reformulation to which tools from molecular dynamics can be applied. In turn, this leads to the study of a perturbation theory for the tim","authors_text":"Alain Joye, Pavel Exner","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2000-10-25T12:34:49Z","title":"Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0010042","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:be704500f6c7413bfa3be809e56bc37b4be9b0fd8804c178e3248c3ba748231f","target":"record","created_at":"2026-05-18T01:38:34Z","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":"7012d596687cb437a1e2b7cac594f282122625ee12c3febc938b118d184097b4","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2000-10-25T12:34:49Z","title_canon_sha256":"74c366e81cd811ef7155d321d8f457e582e2dfae81d3d0defef63d504ec7f19a"},"schema_version":"1.0","source":{"id":"math-ph/0010042","kind":"arxiv","version":1}},"canonical_sha256":"e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af","first_computed_at":"2026-05-18T01:38:34.617863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:34.617863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQHh9OXbAP3mrSEWRTmWn06/nI6lUi81pwuRHqc9BvPfnDZTROliZ73s6k2FS2R13zGPX+a7mCtjpOaWuDPuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:34.618369Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0010042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be704500f6c7413bfa3be809e56bc37b4be9b0fd8804c178e3248c3ba748231f","sha256:7a450f791c7b26df801e7b29276385a7921e13450c704460605a7438e4490e43"],"state_sha256":"fe6366aa46f7db474e8b6f03ce36851e73c91d3d76730bcea130c3ed847cebc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otaE+GOyPPip+OgwmSRNCMw5NntkxH5VCB3plY0zxV8FRAu3cPuZidEx/M3MJPigXQGF3hzm3TWGNPfU5sxICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:30:00.943424Z","bundle_sha256":"fce9eccd26ae3dd906ef524eb4d0a0fbeee592640f1d03858b590d1845883e28"}}