{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3L3DUEQK4SNXHRVGSF37LEMRF3","short_pith_number":"pith:3L3DUEQK","canonical_record":{"source":{"id":"1210.0936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-02T21:45:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58eabafc003f44721d341731442902f817414ea148424e7a2b47c1e8da74967f","abstract_canon_sha256":"09f17e50edf97ddd15e52477d93f62aad1d2d1e0d597405f76b46671279ff684"},"schema_version":"1.0"},"canonical_sha256":"daf63a120ae49b73c6a69177f591912ed44e9b8bfcd26b96d6873d8cfebccab3","source":{"kind":"arxiv","id":"1210.0936","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0936","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0936v2","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0936","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"3L3DUEQK4SNX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3L3DUEQK4SNXHRVG","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3L3DUEQK","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3L3DUEQK4SNXHRVGSF37LEMRF3","target":"record","payload":{"canonical_record":{"source":{"id":"1210.0936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-02T21:45:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58eabafc003f44721d341731442902f817414ea148424e7a2b47c1e8da74967f","abstract_canon_sha256":"09f17e50edf97ddd15e52477d93f62aad1d2d1e0d597405f76b46671279ff684"},"schema_version":"1.0"},"canonical_sha256":"daf63a120ae49b73c6a69177f591912ed44e9b8bfcd26b96d6873d8cfebccab3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:16.491464Z","signature_b64":"NutLSVUQLg/5HfVEnFDfyNlwhGOa7mk2e2naMEL/uDFYy54d2ykAWd+Q/rM0aWV5zn0Aeb0xCkPZV84LvSbJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daf63a120ae49b73c6a69177f591912ed44e9b8bfcd26b96d6873d8cfebccab3","last_reissued_at":"2026-05-18T01:21:16.490726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:16.490726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.0936","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":"2026-05-18T01:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TXnpZCcJ6TKpEZA9ZVrvZQ+cRPK2Qxxd4zePqFWL5PE+dew9549aE8xUuXnfoBOEiFi9pFeY/xvRmiL4UfkKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T14:41:35.613367Z"},"content_sha256":"4335cba07ac279c2194917e451ae7028be40f7a5b37b478482bab81ebcabb451","schema_version":"1.0","event_id":"sha256:4335cba07ac279c2194917e451ae7028be40f7a5b37b478482bab81ebcabb451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3L3DUEQK4SNXHRVGSF37LEMRF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiative correction in approximate treatments of electromagnetic scattering by point and body scatterers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Baptiste Augui\\'e, Eric C. Le Ru, Walter R. C. Somerville","submitted_at":"2012-10-02T21:45:59Z","abstract_excerpt":"The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the scattering matrix ($S$-matrix) used in quantum mechanics and quantum field theory. Focusing on electromagnetic scattering, we highlight an alternative formulation of the $T$-matrix approach, based on the use of the reactance matrix or $K$-matrix, which is more suited to formal studies of energy conservation constraints (such as the optical theorem). We show"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0936","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":"2026-05-18T01:21:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i7eQTILHSIERVGy3/BtYD8p9w5O74XEbt3+Aaaq5obouJ7po7MYs1xhJawFWCeN98oK5wuJSu1Mv/X+nc3OfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T14:41:35.613719Z"},"content_sha256":"c61ac7539a54d6c41b8e04eee8d73a3390cf49d02a4ccb80077674d69915b633","schema_version":"1.0","event_id":"sha256:c61ac7539a54d6c41b8e04eee8d73a3390cf49d02a4ccb80077674d69915b633"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/bundle.json","state_url":"https://pith.science/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/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":"2026-07-02T14:41:35Z","links":{"resolver":"https://pith.science/pith/3L3DUEQK4SNXHRVGSF37LEMRF3","bundle":"https://pith.science/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/bundle.json","state":"https://pith.science/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3L3DUEQK4SNXHRVGSF37LEMRF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3L3DUEQK4SNXHRVGSF37LEMRF3","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":"09f17e50edf97ddd15e52477d93f62aad1d2d1e0d597405f76b46671279ff684","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-02T21:45:59Z","title_canon_sha256":"58eabafc003f44721d341731442902f817414ea148424e7a2b47c1e8da74967f"},"schema_version":"1.0","source":{"id":"1210.0936","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0936","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0936v2","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0936","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"3L3DUEQK4SNX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3L3DUEQK4SNXHRVG","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3L3DUEQK","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:c61ac7539a54d6c41b8e04eee8d73a3390cf49d02a4ccb80077674d69915b633","target":"graph","created_at":"2026-05-18T01:21:16Z","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":"The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the scattering matrix ($S$-matrix) used in quantum mechanics and quantum field theory. Focusing on electromagnetic scattering, we highlight an alternative formulation of the $T$-matrix approach, based on the use of the reactance matrix or $K$-matrix, which is more suited to formal studies of energy conservation constraints (such as the optical theorem). We show","authors_text":"Baptiste Augui\\'e, Eric C. Le Ru, Walter R. C. Somerville","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-02T21:45:59Z","title":"Radiative correction in approximate treatments of electromagnetic scattering by point and body scatterers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0936","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":"sha256:4335cba07ac279c2194917e451ae7028be40f7a5b37b478482bab81ebcabb451","target":"record","created_at":"2026-05-18T01:21:16Z","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":"09f17e50edf97ddd15e52477d93f62aad1d2d1e0d597405f76b46671279ff684","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-02T21:45:59Z","title_canon_sha256":"58eabafc003f44721d341731442902f817414ea148424e7a2b47c1e8da74967f"},"schema_version":"1.0","source":{"id":"1210.0936","kind":"arxiv","version":2}},"canonical_sha256":"daf63a120ae49b73c6a69177f591912ed44e9b8bfcd26b96d6873d8cfebccab3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daf63a120ae49b73c6a69177f591912ed44e9b8bfcd26b96d6873d8cfebccab3","first_computed_at":"2026-05-18T01:21:16.490726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:16.490726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NutLSVUQLg/5HfVEnFDfyNlwhGOa7mk2e2naMEL/uDFYy54d2ykAWd+Q/rM0aWV5zn0Aeb0xCkPZV84LvSbJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:16.491464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0936","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4335cba07ac279c2194917e451ae7028be40f7a5b37b478482bab81ebcabb451","sha256:c61ac7539a54d6c41b8e04eee8d73a3390cf49d02a4ccb80077674d69915b633"],"state_sha256":"7dfba18f1e0e1aacbc6d954496a81c49829d8ac13c5c29839c4f78a7ffe9288e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GD3fOCL3pSBtkoR8EoVRohArzlEFmxlgyz4mwjMfDH6W1/VXeqBoE9eHovNDqn/mE2eO5Orv7wpH4QxoJgjVBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T14:41:35.615629Z","bundle_sha256":"7ed8257b1c766297ad31d3af04fd05fa9dd70d7bfbda0de6ec1a848f17a24731"}}