{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EVTYLARS5RPUN6S3PVWOIWD4YV","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":"8955698f1399e0ba5bd33253ebe7db88022c22e7877c754ebf68fd3a37925158","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-31T13:19:44Z","title_canon_sha256":"9ffda5b4936d6795c4612bf5aee82489e905806052069416ca1cc6158a13458a"},"schema_version":"1.0","source":{"id":"1801.10440","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10440","created_at":"2026-05-17T23:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10440v1","created_at":"2026-05-17T23:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10440","created_at":"2026-05-17T23:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"EVTYLARS5RPU","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EVTYLARS5RPUN6S3","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EVTYLARS","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:43f2e9a7d13359172017ea606c2163e0e908c018f0e1bb8cb1881ea2f5362f02","target":"graph","created_at":"2026-05-17T23:49:45Z","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":"In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular and rectangular cross-section the spectrum of the Maxwell operator is absolutely continuous.","authors_text":"A. Prokhorov, N. Filonov","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-31T13:19:44Z","title":"The Maxwell operator with periodic coefficients in a cylinder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10440","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:d7444f4ea72a7a23552333227d111978f330605e5fab4778af85cc7fc995bc9a","target":"record","created_at":"2026-05-17T23:49:45Z","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":"8955698f1399e0ba5bd33253ebe7db88022c22e7877c754ebf68fd3a37925158","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-01-31T13:19:44Z","title_canon_sha256":"9ffda5b4936d6795c4612bf5aee82489e905806052069416ca1cc6158a13458a"},"schema_version":"1.0","source":{"id":"1801.10440","kind":"arxiv","version":1}},"canonical_sha256":"2567858232ec5f46fa5b7d6ce4587cc576db6bc5fda39299cf273a79be54d202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2567858232ec5f46fa5b7d6ce4587cc576db6bc5fda39299cf273a79be54d202","first_computed_at":"2026-05-17T23:49:45.140495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:45.140495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGpSU0iksbi2QzsAxyee4hbhSCa/k8r7sFFXMXRmlrTNJbyoq6PJ9nZYwZyzudt1EatGP/dZdsTWKH9vnsETBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:45.140909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10440","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7444f4ea72a7a23552333227d111978f330605e5fab4778af85cc7fc995bc9a","sha256:43f2e9a7d13359172017ea606c2163e0e908c018f0e1bb8cb1881ea2f5362f02"],"state_sha256":"3cf8b76b426b4c75e62ab9d4486ff3475524491f1a41d20098be3590cc21a7c7"}