{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GHTVLF4YHYLPQ2ZCGJWQYLFWRP","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":"15f33d825add8b37a06c1a71b2579ec4d2e4361c0d81700ba07943bbbeb148bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-04-05T11:29:44Z","title_canon_sha256":"8e9b7d239399bc1399131d5dcb720cba476925b76f51647dde6a559102781adc"},"schema_version":"1.0","source":{"id":"1804.01786","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01786","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01786v2","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01786","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"GHTVLF4YHYLP","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GHTVLF4YHYLPQ2ZC","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GHTVLF4Y","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:32070dfaf624af5d0b3986987681387946d961987295063192c91b16be5c000c","target":"graph","created_at":"2026-05-18T00:06:04Z","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 present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their wavenumbers, and their electromagnetic fields. Particularly, our approach provides an accurate description of the optical scattering matrix without the requirement of a fit for the pole contributions or the restriction to geometries or systems with low Ohmic losses. Hence, it is possible to derive the analytic dependence of the scattering matrix on the wavenumber with low computational effort, which allo","authors_text":"E. A. Muljarov, T. Weiss","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-04-05T11:29:44Z","title":"How to calculate the pole expansion of the optical scattering matrix from the resonant states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01786","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:e2b08c62f88805d62736c04cf4374dbfd5842e72c8c5668460a10c3d4b57ccd0","target":"record","created_at":"2026-05-18T00:06:04Z","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":"15f33d825add8b37a06c1a71b2579ec4d2e4361c0d81700ba07943bbbeb148bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-04-05T11:29:44Z","title_canon_sha256":"8e9b7d239399bc1399131d5dcb720cba476925b76f51647dde6a559102781adc"},"schema_version":"1.0","source":{"id":"1804.01786","kind":"arxiv","version":2}},"canonical_sha256":"31e75597983e16f86b22326d0c2cb68bf343fca4d6b389abc3e64b3af86283d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31e75597983e16f86b22326d0c2cb68bf343fca4d6b389abc3e64b3af86283d7","first_computed_at":"2026-05-18T00:06:04.572777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:04.572777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s9qnmCvPO4vhd+UhzSCW/KzHvDnukpttghVVZa5QeXiK+G0nSGSBdEZzWuwIjJvvLU8M3ubFGGMv6ewrCLrBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:04.573215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01786","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2b08c62f88805d62736c04cf4374dbfd5842e72c8c5668460a10c3d4b57ccd0","sha256:32070dfaf624af5d0b3986987681387946d961987295063192c91b16be5c000c"],"state_sha256":"34850c6a49660d22dd0641731c689b60b2251e976da109c33a9ebfc602dd3559"}