{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:E57SZS6BNKPLCNI6RYETZ6J4WX","short_pith_number":"pith:E57SZS6B","canonical_record":{"source":{"id":"1312.6075","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-20T19:05:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a6e032b5f5be1091161f0114a742a8e8132dbc97be3d2cc87a7d0f270ac3c3e0","abstract_canon_sha256":"2284d096a13c4e3baa7a4e9068f5577013f32cab5b1150855ce2a375627b36ed"},"schema_version":"1.0"},"canonical_sha256":"277f2ccbc16a9eb1351e8e093cf93cb5eebe6aa74c5fea019d482fc67e682fef","source":{"kind":"arxiv","id":"1312.6075","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6075","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6075v2","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6075","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"pith_short_12","alias_value":"E57SZS6BNKPL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E57SZS6BNKPLCNI6","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E57SZS6B","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:E57SZS6BNKPLCNI6RYETZ6J4WX","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6075","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-20T19:05:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a6e032b5f5be1091161f0114a742a8e8132dbc97be3d2cc87a7d0f270ac3c3e0","abstract_canon_sha256":"2284d096a13c4e3baa7a4e9068f5577013f32cab5b1150855ce2a375627b36ed"},"schema_version":"1.0"},"canonical_sha256":"277f2ccbc16a9eb1351e8e093cf93cb5eebe6aa74c5fea019d482fc67e682fef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:27.302204Z","signature_b64":"QT38rngMupZk2WbWXK7D2Zl7VbbFg/VrSPIA/2iNDgKv2imwM51nx7sGreNqe7IwKK/zsdoL9u2BfOMThmvLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"277f2ccbc16a9eb1351e8e093cf93cb5eebe6aa74c5fea019d482fc67e682fef","last_reissued_at":"2026-05-18T02:55:27.301761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:27.301761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6075","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":"2026-05-18T02:55:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"anxPp3r9gEPonN+WJgCMB1XdJ8AotFGEdez3cEkxZPjJ3ccuxOk05BDAiYF5abEOr513kpmpy8Ajt8/eS0d0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:49:04.200238Z"},"content_sha256":"ae94552ebbfae5bf5cdc3048624aa036f380c0fff48f9dc71d01d8a9641a2679","schema_version":"1.0","event_id":"sha256:ae94552ebbfae5bf5cdc3048624aa036f380c0fff48f9dc71d01d8a9641a2679"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:E57SZS6BNKPLCNI6RYETZ6J4WX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum graph vertices with minimal number of passbands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sergey S. Poghosyan, Taksu Cheon","submitted_at":"2013-12-20T19:05:00Z","abstract_excerpt":"We study a set of scattering matrices of quantum graphs containing minimal number of passbands, i.e., maximal number of zero elements. The cases of even and odd vertex degree are considered. Using a solution of inverse scattering problem, we reconstruct boundary conditions of scale-invariant vertex couplings. Potential-controlled universal flat filtering properties are found for considered types of vertex couplings. Obtained boundary conditions are approximated by simple graphs carrying only $\\delta$ potentials and inner magnetic field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6075","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":"2026-05-18T02:55:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJ6L21bc608/L9AvPbfgH1hVxya0a/InHtRJWBOy4oqYaRG2Rny31kR4/wFvE1KTazsNYoQAcO2XhQtzKY5JAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:49:04.200605Z"},"content_sha256":"7ef58c741b6a02407c3e6130c4de003fc4b1a0cdcbf98bce25a9b83cdf291cb9","schema_version":"1.0","event_id":"sha256:7ef58c741b6a02407c3e6130c4de003fc4b1a0cdcbf98bce25a9b83cdf291cb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/bundle.json","state_url":"https://pith.science/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/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":"2026-06-04T04:49:04Z","links":{"resolver":"https://pith.science/pith/E57SZS6BNKPLCNI6RYETZ6J4WX","bundle":"https://pith.science/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/bundle.json","state":"https://pith.science/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E57SZS6BNKPLCNI6RYETZ6J4WX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E57SZS6BNKPLCNI6RYETZ6J4WX","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":"2284d096a13c4e3baa7a4e9068f5577013f32cab5b1150855ce2a375627b36ed","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-20T19:05:00Z","title_canon_sha256":"a6e032b5f5be1091161f0114a742a8e8132dbc97be3d2cc87a7d0f270ac3c3e0"},"schema_version":"1.0","source":{"id":"1312.6075","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6075","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6075v2","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6075","created_at":"2026-05-18T02:55:27Z"},{"alias_kind":"pith_short_12","alias_value":"E57SZS6BNKPL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E57SZS6BNKPLCNI6","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E57SZS6B","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:7ef58c741b6a02407c3e6130c4de003fc4b1a0cdcbf98bce25a9b83cdf291cb9","target":"graph","created_at":"2026-05-18T02:55:27Z","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 study a set of scattering matrices of quantum graphs containing minimal number of passbands, i.e., maximal number of zero elements. The cases of even and odd vertex degree are considered. Using a solution of inverse scattering problem, we reconstruct boundary conditions of scale-invariant vertex couplings. Potential-controlled universal flat filtering properties are found for considered types of vertex couplings. Obtained boundary conditions are approximated by simple graphs carrying only $\\delta$ potentials and inner magnetic field.","authors_text":"Sergey S. Poghosyan, Taksu Cheon","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-20T19:05:00Z","title":"Quantum graph vertices with minimal number of passbands"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6075","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:ae94552ebbfae5bf5cdc3048624aa036f380c0fff48f9dc71d01d8a9641a2679","target":"record","created_at":"2026-05-18T02:55:27Z","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":"2284d096a13c4e3baa7a4e9068f5577013f32cab5b1150855ce2a375627b36ed","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-20T19:05:00Z","title_canon_sha256":"a6e032b5f5be1091161f0114a742a8e8132dbc97be3d2cc87a7d0f270ac3c3e0"},"schema_version":"1.0","source":{"id":"1312.6075","kind":"arxiv","version":2}},"canonical_sha256":"277f2ccbc16a9eb1351e8e093cf93cb5eebe6aa74c5fea019d482fc67e682fef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"277f2ccbc16a9eb1351e8e093cf93cb5eebe6aa74c5fea019d482fc67e682fef","first_computed_at":"2026-05-18T02:55:27.301761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:27.301761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QT38rngMupZk2WbWXK7D2Zl7VbbFg/VrSPIA/2iNDgKv2imwM51nx7sGreNqe7IwKK/zsdoL9u2BfOMThmvLBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:27.302204Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6075","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae94552ebbfae5bf5cdc3048624aa036f380c0fff48f9dc71d01d8a9641a2679","sha256:7ef58c741b6a02407c3e6130c4de003fc4b1a0cdcbf98bce25a9b83cdf291cb9"],"state_sha256":"65e0eb117f8d3947f4718f6528d5fdee52bd70854286638737a7bd5108c172d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AfroM8Th0yEFdLZarN7VtCE7/vMBoz+K61E+EmWKWye5Gb5TThV3lINslVGtFpeIWjiBR1cAgnnJNLTUvvMXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:49:04.202912Z","bundle_sha256":"19d6ca84a4cf3c9dad5283ce8112ab32eca04129f18945a78d9fd2e0d84ce619"}}