{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2IMWWR2VQWVFLQ5CX7IXSTEQ6G","short_pith_number":"pith:2IMWWR2V","canonical_record":{"source":{"id":"1212.4682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-19T14:51:04Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"d7a7284eb4a1d1a80c6fe9bafac369ec1bce77149c39963c17c6bfe9e9622d13","abstract_canon_sha256":"8006e49cbb02cf2b16f34130901ff4e099b052d7e1893db3a56574170130a423"},"schema_version":"1.0"},"canonical_sha256":"d2196b475585aa55c3a2bfd1794c90f1be350baadc70ca9981fd3cee5c699ed7","source":{"kind":"arxiv","id":"1212.4682","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4682","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4682v1","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4682","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"2IMWWR2VQWVF","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2IMWWR2VQWVFLQ5C","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2IMWWR2V","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2IMWWR2VQWVFLQ5CX7IXSTEQ6G","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4682","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-19T14:51:04Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"d7a7284eb4a1d1a80c6fe9bafac369ec1bce77149c39963c17c6bfe9e9622d13","abstract_canon_sha256":"8006e49cbb02cf2b16f34130901ff4e099b052d7e1893db3a56574170130a423"},"schema_version":"1.0"},"canonical_sha256":"d2196b475585aa55c3a2bfd1794c90f1be350baadc70ca9981fd3cee5c699ed7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:30.468614Z","signature_b64":"gAuipb8S76s+Yfb28pjxylypJdYdSz29+DGSiEIKBK1q9l/dXwIEXp6Mb/XbAUMUua3DuOhH0/xa0uYJkERODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2196b475585aa55c3a2bfd1794c90f1be350baadc70ca9981fd3cee5c699ed7","last_reissued_at":"2026-05-18T01:52:30.467989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:30.467989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4682","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":"2026-05-18T01:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VVRggY0Cq1GSwPyXETo73Mt+fi2Jh2Hb+0FhSK6b1Q5zCw40PEJ5bKUcahoWkSvl5203i+zgPeKjeeT6u3/SDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:56:42.650143Z"},"content_sha256":"bf22eb09ae71104169297787a0d557ef6f3668657ba98cc638f71e64aab927ff","schema_version":"1.0","event_id":"sha256:bf22eb09ae71104169297787a0d557ef6f3668657ba98cc638f71e64aab927ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2IMWWR2VQWVFLQ5CX7IXSTEQ6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Resonances in Scattering on Networks (Graphs)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"primary_cat":"nlin.CD","authors_text":"Holger Schanz, Sven Gnutzmann, Uzy Smilansky","submitted_at":"2012-12-19T14:51:04Z","abstract_excerpt":"We report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. We consider generic open graphs and show that any cycle leads to narrow resonances which do not fit in any of the prominent paradigms for narrow resonances (classical barriers, localization due to disorder, chaotic scattering). We call these resonances `topological' to emphasize their origin in the non-trivial connectivity. Topological resonances have a clear and unique signature which is apparent in the statistics of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4682","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":"2026-05-18T01:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZiQ0p/Rd3/P+eV0Qexw3U+/l/yhg88qj9WurKA2m8Bjg3g0qEttjYozX+NHIvcDvgzx8JMhIS416oksOQlWICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:56:42.650683Z"},"content_sha256":"8aeeed79ce769835c77f835234c180c3616a018e4ea423ec6263c9261d751334","schema_version":"1.0","event_id":"sha256:8aeeed79ce769835c77f835234c180c3616a018e4ea423ec6263c9261d751334"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/bundle.json","state_url":"https://pith.science/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/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":"2026-05-25T22:56:42Z","links":{"resolver":"https://pith.science/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G","bundle":"https://pith.science/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/bundle.json","state":"https://pith.science/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2IMWWR2VQWVFLQ5CX7IXSTEQ6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2IMWWR2VQWVFLQ5CX7IXSTEQ6G","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":"8006e49cbb02cf2b16f34130901ff4e099b052d7e1893db3a56574170130a423","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-19T14:51:04Z","title_canon_sha256":"d7a7284eb4a1d1a80c6fe9bafac369ec1bce77149c39963c17c6bfe9e9622d13"},"schema_version":"1.0","source":{"id":"1212.4682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4682","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4682v1","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4682","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"2IMWWR2VQWVF","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2IMWWR2VQWVFLQ5C","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2IMWWR2V","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:8aeeed79ce769835c77f835234c180c3616a018e4ea423ec6263c9261d751334","target":"graph","created_at":"2026-05-18T01:52:30Z","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 report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. We consider generic open graphs and show that any cycle leads to narrow resonances which do not fit in any of the prominent paradigms for narrow resonances (classical barriers, localization due to disorder, chaotic scattering). We call these resonances `topological' to emphasize their origin in the non-trivial connectivity. Topological resonances have a clear and unique signature which is apparent in the statistics of","authors_text":"Holger Schanz, Sven Gnutzmann, Uzy Smilansky","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-19T14:51:04Z","title":"Topological Resonances in Scattering on Networks (Graphs)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4682","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:bf22eb09ae71104169297787a0d557ef6f3668657ba98cc638f71e64aab927ff","target":"record","created_at":"2026-05-18T01:52:30Z","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":"8006e49cbb02cf2b16f34130901ff4e099b052d7e1893db3a56574170130a423","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-19T14:51:04Z","title_canon_sha256":"d7a7284eb4a1d1a80c6fe9bafac369ec1bce77149c39963c17c6bfe9e9622d13"},"schema_version":"1.0","source":{"id":"1212.4682","kind":"arxiv","version":1}},"canonical_sha256":"d2196b475585aa55c3a2bfd1794c90f1be350baadc70ca9981fd3cee5c699ed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2196b475585aa55c3a2bfd1794c90f1be350baadc70ca9981fd3cee5c699ed7","first_computed_at":"2026-05-18T01:52:30.467989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:30.467989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gAuipb8S76s+Yfb28pjxylypJdYdSz29+DGSiEIKBK1q9l/dXwIEXp6Mb/XbAUMUua3DuOhH0/xa0uYJkERODA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:30.468614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf22eb09ae71104169297787a0d557ef6f3668657ba98cc638f71e64aab927ff","sha256:8aeeed79ce769835c77f835234c180c3616a018e4ea423ec6263c9261d751334"],"state_sha256":"556f0832e67929b51da952cbe076bd5d946d86a5e7257bcfc4683ecdc98988c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XVhOWM11sLDfkVrBRZcgqa+4VRlqxKBMvda9Yd7xVih7dQsGg+jnCC1EjCfIW0ErXz8yyLjTggPNjoZwNz9ICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:56:42.653711Z","bundle_sha256":"619a0d4be5457bf261115e5f23cda09e5bbc5ff2be01ffe8ecedc6b2291fba0f"}}