{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AHTFVCSUT2XXLP2STK67PILUHH","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":"bc7e6dcad5a6215490e452ec247a29dc0c7a483d709f337edbf1c3992e2e3bb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-02T14:51:02Z","title_canon_sha256":"4069c3c1f15b6120ed260db2b0dc565a98d5e6ff090ad0fdad53c478930caab3"},"schema_version":"1.0","source":{"id":"1502.00496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00496","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00496v1","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00496","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"AHTFVCSUT2XX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AHTFVCSUT2XXLP2S","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AHTFVCSU","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:2c028bf39e24c3e8a3386cff42555e533f9b3c29ef1665114ed6101970c2584f","target":"graph","created_at":"2026-05-18T02:28:05Z","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":"Natural modes of helical structures are treated by using the periodic dyadic Green's functions in cylindrical coordinates. The formulation leads to an infinite system of one-dimensional integral equations in reciprocal (Fourier) space. Due to the twisted structure of the waveguide together with a quasi-static assumption the set of non-zero coefficients in reciprocal space is sparse and the formulation can therefore be used in a numerical method based on a truncation of the set of coupled integral equations. The periodic dyadic Green's functions are furthermore useful in a simple direct calcula","authors_text":"Alexander Nosich, B\\\"orje Nilsson, Daniel Sj\\\"oberg, Gerhard Kristensson, Mats Gustafsson, Sven Nordebo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-02T14:51:02Z","title":"On the natural modes of helical structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00496","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":"sha256:0f0a0f874484e614e3eff297d0dc841c396d7496513830d1a594813000bfe9be","target":"record","created_at":"2026-05-18T02:28:05Z","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":"bc7e6dcad5a6215490e452ec247a29dc0c7a483d709f337edbf1c3992e2e3bb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-02T14:51:02Z","title_canon_sha256":"4069c3c1f15b6120ed260db2b0dc565a98d5e6ff090ad0fdad53c478930caab3"},"schema_version":"1.0","source":{"id":"1502.00496","kind":"arxiv","version":1}},"canonical_sha256":"01e65a8a549eaf75bf529abdf7a17439f3c818e08fdaae5d6f8e60d80eb9429b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01e65a8a549eaf75bf529abdf7a17439f3c818e08fdaae5d6f8e60d80eb9429b","first_computed_at":"2026-05-18T02:28:05.898911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:05.898911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iUSXvrsDSQKgmsH76y8xqu6FyX7nO8tRQQdM5pJ49owVbvZ/OGLEb9Ot8CxD6QPlvjr5PWHu86jTR1m9JmQFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:05.899268Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f0a0f874484e614e3eff297d0dc841c396d7496513830d1a594813000bfe9be","sha256:2c028bf39e24c3e8a3386cff42555e533f9b3c29ef1665114ed6101970c2584f"],"state_sha256":"417648cbdede62cca11b03af3efafe55ac3156ee08d7a4e651be79ac2c457352"}