{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:K5NCX3HXXKIL3PHQMF5TS5WG6S","short_pith_number":"pith:K5NCX3HX","schema_version":"1.0","canonical_sha256":"575a2becf7ba90bdbcf0617b3976c6f488a95166dec2dafb4345a4a0ea788399","source":{"kind":"arxiv","id":"1110.2475","version":1},"attestation_state":"computed","paper":{"title":"Note on the role of symmetry in scattering from isospectral graphs and drums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Adam Sawicki, Ram Band, Uzy Smilansky","submitted_at":"2011-10-11T19:41:18Z","abstract_excerpt":"We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in [1, 2]. It was shown in [3] that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite leads are attached in a way which preserves the symmetry of isospectral construction. In the current paper we compare this result with the conjecture put forward by Okada et al. [4] that the pole distribution of scattering matrices in the exterior of isospectral domains in R^2 are different."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.2475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-11T19:41:18Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"f6031f28965971c5d67820e17a0d36a753f6747e731ff8e838b5777f61f4d833","abstract_canon_sha256":"65b908e0e19389d21632418b65547deef849c7b20ec7edc1bc352a1bd9bd03f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:49.281953Z","signature_b64":"xJAkAqBZ/wY8b9aAbmTsG8u2XL3vlLQm8o4c+8BK+PC40fupn3nMDmwDMM0UyPHT8CgBoqRjx9PENAQ82A4HDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"575a2becf7ba90bdbcf0617b3976c6f488a95166dec2dafb4345a4a0ea788399","last_reissued_at":"2026-05-18T01:22:49.281333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:49.281333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on the role of symmetry in scattering from isospectral graphs and drums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Adam Sawicki, Ram Band, Uzy Smilansky","submitted_at":"2011-10-11T19:41:18Z","abstract_excerpt":"We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in [1, 2]. It was shown in [3] that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite leads are attached in a way which preserves the symmetry of isospectral construction. In the current paper we compare this result with the conjecture put forward by Okada et al. [4] that the pole distribution of scattering matrices in the exterior of isospectral domains in R^2 are different."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2475","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.2475","created_at":"2026-05-18T01:22:49.281439+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.2475v1","created_at":"2026-05-18T01:22:49.281439+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2475","created_at":"2026-05-18T01:22:49.281439+00:00"},{"alias_kind":"pith_short_12","alias_value":"K5NCX3HXXKIL","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"K5NCX3HXXKIL3PHQ","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"K5NCX3HX","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S","json":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S.json","graph_json":"https://pith.science/api/pith-number/K5NCX3HXXKIL3PHQMF5TS5WG6S/graph.json","events_json":"https://pith.science/api/pith-number/K5NCX3HXXKIL3PHQMF5TS5WG6S/events.json","paper":"https://pith.science/paper/K5NCX3HX"},"agent_actions":{"view_html":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S","download_json":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S.json","view_paper":"https://pith.science/paper/K5NCX3HX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.2475&json=true","fetch_graph":"https://pith.science/api/pith-number/K5NCX3HXXKIL3PHQMF5TS5WG6S/graph.json","fetch_events":"https://pith.science/api/pith-number/K5NCX3HXXKIL3PHQMF5TS5WG6S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S/action/storage_attestation","attest_author":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S/action/author_attestation","sign_citation":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S/action/citation_signature","submit_replication":"https://pith.science/pith/K5NCX3HXXKIL3PHQMF5TS5WG6S/action/replication_record"}},"created_at":"2026-05-18T01:22:49.281439+00:00","updated_at":"2026-05-18T01:22:49.281439+00:00"}