{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SKXOKXQYTJAEO763DRN65RL5X6","short_pith_number":"pith:SKXOKXQY","canonical_record":{"source":{"id":"1203.3583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-15T22:44:52Z","cross_cats_sorted":[],"title_canon_sha256":"a4d52324970f0480b09f3d9dea887a95f4c71e504264a05ce5f52f9a7ec27a1b","abstract_canon_sha256":"8575c71e89ae27061341620cee6b90387120e8a4f8754e221cc013a030665d3f"},"schema_version":"1.0"},"canonical_sha256":"92aee55e189a40477fdb1c5beec57dbf9e896b7c0c5dc195d9e7022d725f9bdb","source":{"kind":"arxiv","id":"1203.3583","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3583","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3583v1","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3583","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"SKXOKXQYTJAE","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SKXOKXQYTJAEO763","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SKXOKXQY","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SKXOKXQYTJAEO763DRN65RL5X6","target":"record","payload":{"canonical_record":{"source":{"id":"1203.3583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-15T22:44:52Z","cross_cats_sorted":[],"title_canon_sha256":"a4d52324970f0480b09f3d9dea887a95f4c71e504264a05ce5f52f9a7ec27a1b","abstract_canon_sha256":"8575c71e89ae27061341620cee6b90387120e8a4f8754e221cc013a030665d3f"},"schema_version":"1.0"},"canonical_sha256":"92aee55e189a40477fdb1c5beec57dbf9e896b7c0c5dc195d9e7022d725f9bdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:08.188081Z","signature_b64":"cZG8NUzXG2RmPkA5kgOLLDh+cbIszFCJcz93MavU1eaN+81Fdo8T1qT3BKvkvMA0jJp8vcHIUYcbblvznJFsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92aee55e189a40477fdb1c5beec57dbf9e896b7c0c5dc195d9e7022d725f9bdb","last_reissued_at":"2026-05-18T01:58:08.187632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:08.187632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.3583","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":"2026-05-18T01:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DiZbdscGA6EyySp8WH9UypSvaBQRMt7PqiqD3dC6OzHW+A6Dfk9A3eItM1A5vHoO4dZrSFWtxh3ctEkrcJkUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:57:27.420165Z"},"content_sha256":"bb07afc611ba729fdd5e8cb895c752fa1a8c004cb66a0e75b6cf6d813d9d413e","schema_version":"1.0","event_id":"sha256:bb07afc611ba729fdd5e8cb895c752fa1a8c004cb66a0e75b6cf6d813d9d413e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SKXOKXQYTJAEO763DRN65RL5X6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Arbitrary shape surface Fresnel diffraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Nobuyuki Masuda, Tomoyoshi Ito, Tomoyoshi Shimobaba","submitted_at":"2012-03-15T22:44:52Z","abstract_excerpt":"Fresnel diffraction calculation on an arbitrary shape surface is proposed. This method is capable of calculating Fresnel diffraction from a source surface with an arbitrary shape to a planar destination surface. Although such calculation can be readily calculated by the direct integral of a diffraction calculation, the calculation cost is proportional to $O(N^2)$ in one dimensional or $O(N^4)$ in two dimensional cases, where $N$ is the number of sampling points. However, the calculation cost of the proposed method is $O(N \\log N)$ in one dimensional or $O(N^2 \\log N)$ in two dimensional cases "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3583","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":"2026-05-18T01:58:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BLiZKuTiJb6McifGSgUP093Gb52BshKSRuKADFns56pfZKhIp9w2/Lf8eJTjIiwtnbU8QylgScD5lDxqfNPsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:57:27.420554Z"},"content_sha256":"f3e20b1b37dc7fb93ee2238c00f4ede8220102110f7a31cfeed39e3dc39a23f9","schema_version":"1.0","event_id":"sha256:f3e20b1b37dc7fb93ee2238c00f4ede8220102110f7a31cfeed39e3dc39a23f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SKXOKXQYTJAEO763DRN65RL5X6/bundle.json","state_url":"https://pith.science/pith/SKXOKXQYTJAEO763DRN65RL5X6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SKXOKXQYTJAEO763DRN65RL5X6/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":"2026-05-27T07:57:27Z","links":{"resolver":"https://pith.science/pith/SKXOKXQYTJAEO763DRN65RL5X6","bundle":"https://pith.science/pith/SKXOKXQYTJAEO763DRN65RL5X6/bundle.json","state":"https://pith.science/pith/SKXOKXQYTJAEO763DRN65RL5X6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SKXOKXQYTJAEO763DRN65RL5X6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SKXOKXQYTJAEO763DRN65RL5X6","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":"8575c71e89ae27061341620cee6b90387120e8a4f8754e221cc013a030665d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-15T22:44:52Z","title_canon_sha256":"a4d52324970f0480b09f3d9dea887a95f4c71e504264a05ce5f52f9a7ec27a1b"},"schema_version":"1.0","source":{"id":"1203.3583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3583","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3583v1","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3583","created_at":"2026-05-18T01:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"SKXOKXQYTJAE","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SKXOKXQYTJAEO763","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SKXOKXQY","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f3e20b1b37dc7fb93ee2238c00f4ede8220102110f7a31cfeed39e3dc39a23f9","target":"graph","created_at":"2026-05-18T01:58:08Z","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":"Fresnel diffraction calculation on an arbitrary shape surface is proposed. This method is capable of calculating Fresnel diffraction from a source surface with an arbitrary shape to a planar destination surface. Although such calculation can be readily calculated by the direct integral of a diffraction calculation, the calculation cost is proportional to $O(N^2)$ in one dimensional or $O(N^4)$ in two dimensional cases, where $N$ is the number of sampling points. However, the calculation cost of the proposed method is $O(N \\log N)$ in one dimensional or $O(N^2 \\log N)$ in two dimensional cases ","authors_text":"Nobuyuki Masuda, Tomoyoshi Ito, Tomoyoshi Shimobaba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-15T22:44:52Z","title":"Arbitrary shape surface Fresnel diffraction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3583","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:bb07afc611ba729fdd5e8cb895c752fa1a8c004cb66a0e75b6cf6d813d9d413e","target":"record","created_at":"2026-05-18T01:58:08Z","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":"8575c71e89ae27061341620cee6b90387120e8a4f8754e221cc013a030665d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-15T22:44:52Z","title_canon_sha256":"a4d52324970f0480b09f3d9dea887a95f4c71e504264a05ce5f52f9a7ec27a1b"},"schema_version":"1.0","source":{"id":"1203.3583","kind":"arxiv","version":1}},"canonical_sha256":"92aee55e189a40477fdb1c5beec57dbf9e896b7c0c5dc195d9e7022d725f9bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92aee55e189a40477fdb1c5beec57dbf9e896b7c0c5dc195d9e7022d725f9bdb","first_computed_at":"2026-05-18T01:58:08.187632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:08.187632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cZG8NUzXG2RmPkA5kgOLLDh+cbIszFCJcz93MavU1eaN+81Fdo8T1qT3BKvkvMA0jJp8vcHIUYcbblvznJFsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:08.188081Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb07afc611ba729fdd5e8cb895c752fa1a8c004cb66a0e75b6cf6d813d9d413e","sha256:f3e20b1b37dc7fb93ee2238c00f4ede8220102110f7a31cfeed39e3dc39a23f9"],"state_sha256":"07393b0c4a4a32b3e59453c0312f2f8d82a88e35c76bb1eb6acfc2d451c37a42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZauU8M6Nbayfh4AKIrfo+12/FQiu1DAwkeXliUbODrd4ij+SUnsycG19c/Dmcxg8Q/3hFXnouFDJJdxZCPCsCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:57:27.423067Z","bundle_sha256":"0fede1bfa53822a8e0d7b0cb98521613da0a7a9f058b0fc8fac83c1cc1bf117f"}}