{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3GYM46TIGCU3OJA7V3KSIBBJW4","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":"99a05aa2f5e79a70f967d9f9380849cfa863e84565622c02a89af70027e10e7d","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.class-ph","submitted_at":"2017-05-04T09:03:09Z","title_canon_sha256":"a9696f7edf1a8e384e64811e5ec633afcf5a0d48af8ae64525d0285c64203370"},"schema_version":"1.0","source":{"id":"1705.01747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01747","created_at":"2026-05-18T00:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01747v1","created_at":"2026-05-18T00:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01747","created_at":"2026-05-18T00:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"3GYM46TIGCU3","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3GYM46TIGCU3OJA7","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3GYM46TI","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:a8b2fcd7df399cea01e4c643334f631377bd01d8ef8cf17849cd28943ae58120","target":"graph","created_at":"2026-05-18T00:45:02Z","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 derive the spectral decomposition of the Lippmann-Schwinger equation for electrodynamics, obtaining the fields as a sum of eigenmodes. The method is applied to cylindrical geometries.","authors_text":"David J. Bergman, Parry Y. Chen, Yonatan Sivan","cross_cats":["physics.optics"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.class-ph","submitted_at":"2017-05-04T09:03:09Z","title":"Spectral decomposition of the Lippmann-Schwinger equation applied to cylinders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01747","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":"sha256:626dcec5e4fe93d5569128187a3e63c4de25c8688c2444e5cf2bf48b6ece25c7","target":"record","created_at":"2026-05-18T00:45:02Z","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":"99a05aa2f5e79a70f967d9f9380849cfa863e84565622c02a89af70027e10e7d","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.class-ph","submitted_at":"2017-05-04T09:03:09Z","title_canon_sha256":"a9696f7edf1a8e384e64811e5ec633afcf5a0d48af8ae64525d0285c64203370"},"schema_version":"1.0","source":{"id":"1705.01747","kind":"arxiv","version":1}},"canonical_sha256":"d9b0ce7a6830a9b7241faed5240429b73b6f409e603693adc88027d9f29d6208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9b0ce7a6830a9b7241faed5240429b73b6f409e603693adc88027d9f29d6208","first_computed_at":"2026-05-18T00:45:02.363917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:02.363917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wnYywCb+LRf1PFylucQMyGEgGGtzNMHc0vPXFUFWCzgtNilwnOf7Bfb6Vk9qhgN86TVtfJDREh2nIvKrDeW2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:02.364358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:626dcec5e4fe93d5569128187a3e63c4de25c8688c2444e5cf2bf48b6ece25c7","sha256:a8b2fcd7df399cea01e4c643334f631377bd01d8ef8cf17849cd28943ae58120"],"state_sha256":"be795550b8acb7c0703ef182aabd8e9f990d4949e986322c5a1ea40cb8fdec09"}