{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EL34X62XY7A7YPP434GIQI3JV5","short_pith_number":"pith:EL34X62X","canonical_record":{"source":{"id":"1704.08779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-04-28T00:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"9833edc3097d0a36e6810433091343b83768fcaebc9113c9f1d8ac93ef51f502","abstract_canon_sha256":"2da606c4941603cb7e68546f484f502868078c17d37b99d647869ef19b5ecd4e"},"schema_version":"1.0"},"canonical_sha256":"22f7cbfb57c7c1fc3dfcdf0c882369af596f5e84c3f886690aaf377f5370c8de","source":{"kind":"arxiv","id":"1704.08779","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08779","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08779v1","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08779","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"pith_short_12","alias_value":"EL34X62XY7A7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EL34X62XY7A7YPP4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EL34X62X","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EL34X62XY7A7YPP434GIQI3JV5","target":"record","payload":{"canonical_record":{"source":{"id":"1704.08779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-04-28T00:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"9833edc3097d0a36e6810433091343b83768fcaebc9113c9f1d8ac93ef51f502","abstract_canon_sha256":"2da606c4941603cb7e68546f484f502868078c17d37b99d647869ef19b5ecd4e"},"schema_version":"1.0"},"canonical_sha256":"22f7cbfb57c7c1fc3dfcdf0c882369af596f5e84c3f886690aaf377f5370c8de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:25.294570Z","signature_b64":"4GJs+eKptbgeCz/PLW0rG2KguL5NKlYmJTy7ZEue9qN8jW6ZXHq50M6/DYK+X10cHOboOY4AefxNQ4Lqxip5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22f7cbfb57c7c1fc3dfcdf0c882369af596f5e84c3f886690aaf377f5370c8de","last_reissued_at":"2026-05-18T00:45:25.294113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:25.294113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.08779","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jOPfZqtV3+4haAqYxJBKUfmitMQeSbUmtOWsv4WCi6aJGTx0w8801UDitlqK1Vyv0MH5PSK7pwfSRzaYK3RBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:27:13.077538Z"},"content_sha256":"0b1819efadfbd497a18fd53697f68536b03a71c1a72c5cacdecc0d314874a3eb","schema_version":"1.0","event_id":"sha256:0b1819efadfbd497a18fd53697f68536b03a71c1a72c5cacdecc0d314874a3eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EL34X62XY7A7YPP434GIQI3JV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mie scattering eigenmodes for optical trapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Michael Mazilu","submitted_at":"2017-04-28T00:30:30Z","abstract_excerpt":"The Mie scattering theory enables the exact determination of the scattered field as a function of the incident field. Here, we use this approach to calculate the Hermitian relationship between the incident field and the optical forces acting on the scattering objects. This Hermitian relationship defines also a set of orthogonal optical eigenmodes which deliver a natural basis to describe momentum transfer in light-matter interactions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08779","kind":"arxiv","version":1},"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":"2026-05-18T00:45:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tK+KPge4v8EIS83r8DKQyrQ4BytV7b/HFQX1OfGuvInfV0LdF003STHBVbcQ+aMkVDRJQRO53HO5GEA19jAfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:27:13.078178Z"},"content_sha256":"fe9f09642daab7ed58d5352c2273714f82b7e8412937fec250d2458b9b0dc58c","schema_version":"1.0","event_id":"sha256:fe9f09642daab7ed58d5352c2273714f82b7e8412937fec250d2458b9b0dc58c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EL34X62XY7A7YPP434GIQI3JV5/bundle.json","state_url":"https://pith.science/pith/EL34X62XY7A7YPP434GIQI3JV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EL34X62XY7A7YPP434GIQI3JV5/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":"2026-08-16T08:27:13Z","links":{"resolver":"https://pith.science/pith/EL34X62XY7A7YPP434GIQI3JV5","bundle":"https://pith.science/pith/EL34X62XY7A7YPP434GIQI3JV5/bundle.json","state":"https://pith.science/pith/EL34X62XY7A7YPP434GIQI3JV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EL34X62XY7A7YPP434GIQI3JV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EL34X62XY7A7YPP434GIQI3JV5","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":"2da606c4941603cb7e68546f484f502868078c17d37b99d647869ef19b5ecd4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-04-28T00:30:30Z","title_canon_sha256":"9833edc3097d0a36e6810433091343b83768fcaebc9113c9f1d8ac93ef51f502"},"schema_version":"1.0","source":{"id":"1704.08779","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08779","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08779v1","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08779","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"pith_short_12","alias_value":"EL34X62XY7A7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EL34X62XY7A7YPP4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EL34X62X","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:fe9f09642daab7ed58d5352c2273714f82b7e8412937fec250d2458b9b0dc58c","target":"graph","created_at":"2026-05-18T00:45:25Z","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 Mie scattering theory enables the exact determination of the scattered field as a function of the incident field. Here, we use this approach to calculate the Hermitian relationship between the incident field and the optical forces acting on the scattering objects. This Hermitian relationship defines also a set of orthogonal optical eigenmodes which deliver a natural basis to describe momentum transfer in light-matter interactions.","authors_text":"Michael Mazilu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-04-28T00:30:30Z","title":"Mie scattering eigenmodes for optical trapping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08779","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":"sha256:0b1819efadfbd497a18fd53697f68536b03a71c1a72c5cacdecc0d314874a3eb","target":"record","created_at":"2026-05-18T00:45:25Z","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":"2da606c4941603cb7e68546f484f502868078c17d37b99d647869ef19b5ecd4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-04-28T00:30:30Z","title_canon_sha256":"9833edc3097d0a36e6810433091343b83768fcaebc9113c9f1d8ac93ef51f502"},"schema_version":"1.0","source":{"id":"1704.08779","kind":"arxiv","version":1}},"canonical_sha256":"22f7cbfb57c7c1fc3dfcdf0c882369af596f5e84c3f886690aaf377f5370c8de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22f7cbfb57c7c1fc3dfcdf0c882369af596f5e84c3f886690aaf377f5370c8de","first_computed_at":"2026-05-18T00:45:25.294113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:25.294113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4GJs+eKptbgeCz/PLW0rG2KguL5NKlYmJTy7ZEue9qN8jW6ZXHq50M6/DYK+X10cHOboOY4AefxNQ4Lqxip5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:25.294570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08779","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b1819efadfbd497a18fd53697f68536b03a71c1a72c5cacdecc0d314874a3eb","sha256:fe9f09642daab7ed58d5352c2273714f82b7e8412937fec250d2458b9b0dc58c"],"state_sha256":"b685bc2da7fec7ecdb2a1e881a9c3ee1d507c13190be5200c8163c8e8b6b6259"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEyqVDb/JWiOO8Oe01WFZVmw8xzgDR7I7KAkX6rQj3NbFSsJi3itN1iLr1Iw+4HeloFhqEH1i+E6A42zkYbKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T08:27:13.084005Z","bundle_sha256":"71448b7faf4d614da718115b2bc638aeeb58223284ec0c6d840ef86a525ea657"}}