{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:BCRTGXLL7FI7KSISD26YU77WW3","short_pith_number":"pith:BCRTGXLL","canonical_record":{"source":{"id":"physics/9802007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.optics","submitted_at":"1998-02-04T04:25:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a04e16d606e10f14782b298eb6090d836cd28225a7f3f8280537d6dd11ef4d5b","abstract_canon_sha256":"30c5f7748162a52d65b7399301678f301215a009904d1de81e7535831ccd4e73"},"schema_version":"1.0"},"canonical_sha256":"08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373","source":{"kind":"arxiv","id":"physics/9802007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9802007","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9802007v1","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9802007","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"BCRTGXLL7FI7","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_16","alias_value":"BCRTGXLL7FI7KSIS","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_8","alias_value":"BCRTGXLL","created_at":"2026-07-04T14:44:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:BCRTGXLL7FI7KSISD26YU77WW3","target":"record","payload":{"canonical_record":{"source":{"id":"physics/9802007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.optics","submitted_at":"1998-02-04T04:25:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a04e16d606e10f14782b298eb6090d836cd28225a7f3f8280537d6dd11ef4d5b","abstract_canon_sha256":"30c5f7748162a52d65b7399301678f301215a009904d1de81e7535831ccd4e73"},"schema_version":"1.0"},"canonical_sha256":"08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:44:54.014949Z","signature_b64":"WbY2eiwZnOk/CSqlNOtwlkfrKgZSwRhmo0Rt+gwdFH+Z4tL4yFOy5pN9t1PaWG5qSnMszgEZN6uchdLz/x4FCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373","last_reissued_at":"2026-07-04T14:44:54.014607Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:44:54.014607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/9802007","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":"2026-07-04T14:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1nrCPocLDOJU/fQl+RKGn1yEZKrnbJ1h5Xo3EF1d0fhARjvysDBkG5Wrex8MndCpgLoCoizgU4UqstZ0I225AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:56:16.399789Z"},"content_sha256":"a7b5243f46e267164d71ba4fdfcf36a97291d1fe715187d9efe9b09b711e1e0e","schema_version":"1.0","event_id":"sha256:a7b5243f46e267164d71ba4fdfcf36a97291d1fe715187d9efe9b09b711e1e0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:BCRTGXLL7FI7KSISD26YU77WW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal Diffraction Grating","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim","submitted_at":"1998-02-04T04:25:57Z","abstract_excerpt":"We consider an optical diffraction grating in which the spatial distribution of open slits forms a fractal set. The Fraunhofer diffraction patterns through the fractal grating are obtained analytically for the simplest triad Cantor type and its generalized version. The resulting interference patterns exhibit characteristics of the original fractals and their scaling properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9802007","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/9802007/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CO7SYRhdiYDGAOy/tH80wZMkqezxdXDt0TY8xng4M0jkXTJr7aPqon3WadBWLVgDyJtBd+5CV0nsiO++z2PvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:56:16.400328Z"},"content_sha256":"359c6768c81a0de2eff4b51fb52dd99bb48935e0e76ac2c620064cf2968cd89f","schema_version":"1.0","event_id":"sha256:359c6768c81a0de2eff4b51fb52dd99bb48935e0e76ac2c620064cf2968cd89f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BCRTGXLL7FI7KSISD26YU77WW3/bundle.json","state_url":"https://pith.science/pith/BCRTGXLL7FI7KSISD26YU77WW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BCRTGXLL7FI7KSISD26YU77WW3/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":"2026-08-05T22:56:16Z","links":{"resolver":"https://pith.science/pith/BCRTGXLL7FI7KSISD26YU77WW3","bundle":"https://pith.science/pith/BCRTGXLL7FI7KSISD26YU77WW3/bundle.json","state":"https://pith.science/pith/BCRTGXLL7FI7KSISD26YU77WW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BCRTGXLL7FI7KSISD26YU77WW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:BCRTGXLL7FI7KSISD26YU77WW3","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":"30c5f7748162a52d65b7399301678f301215a009904d1de81e7535831ccd4e73","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"physics.optics","submitted_at":"1998-02-04T04:25:57Z","title_canon_sha256":"a04e16d606e10f14782b298eb6090d836cd28225a7f3f8280537d6dd11ef4d5b"},"schema_version":"1.0","source":{"id":"physics/9802007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9802007","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9802007v1","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9802007","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"BCRTGXLL7FI7","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_16","alias_value":"BCRTGXLL7FI7KSIS","created_at":"2026-07-04T14:44:54Z"},{"alias_kind":"pith_short_8","alias_value":"BCRTGXLL","created_at":"2026-07-04T14:44:54Z"}],"graph_snapshots":[{"event_id":"sha256:359c6768c81a0de2eff4b51fb52dd99bb48935e0e76ac2c620064cf2968cd89f","target":"graph","created_at":"2026-07-04T14:44:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/9802007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider an optical diffraction grating in which the spatial distribution of open slits forms a fractal set. The Fraunhofer diffraction patterns through the fractal grating are obtained analytically for the simplest triad Cantor type and its generalized version. The resulting interference patterns exhibit characteristics of the original fractals and their scaling properties.","authors_text":"Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"physics.optics","submitted_at":"1998-02-04T04:25:57Z","title":"Fractal Diffraction Grating"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9802007","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:a7b5243f46e267164d71ba4fdfcf36a97291d1fe715187d9efe9b09b711e1e0e","target":"record","created_at":"2026-07-04T14:44:54Z","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":"30c5f7748162a52d65b7399301678f301215a009904d1de81e7535831ccd4e73","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"physics.optics","submitted_at":"1998-02-04T04:25:57Z","title_canon_sha256":"a04e16d606e10f14782b298eb6090d836cd28225a7f3f8280537d6dd11ef4d5b"},"schema_version":"1.0","source":{"id":"physics/9802007","kind":"arxiv","version":1}},"canonical_sha256":"08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373","first_computed_at":"2026-07-04T14:44:54.014607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:44:54.014607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WbY2eiwZnOk/CSqlNOtwlkfrKgZSwRhmo0Rt+gwdFH+Z4tL4yFOy5pN9t1PaWG5qSnMszgEZN6uchdLz/x4FCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:44:54.014949Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9802007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7b5243f46e267164d71ba4fdfcf36a97291d1fe715187d9efe9b09b711e1e0e","sha256:359c6768c81a0de2eff4b51fb52dd99bb48935e0e76ac2c620064cf2968cd89f"],"state_sha256":"59ebabc498f564b7ff96eff020117ba9291da8740f0690e6268e6867b7955087"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AaliPReaSuEK3KWNLR1CevKaNwL8BqBCtM4qNcR2JMOHAmAvz+N3mKTga3ZLrFuz1+I3Ek6oAm1kp8ytZHKcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:56:16.404545Z","bundle_sha256":"fdaaeb893f744461da34cce5f52142373704e451845e72ae3374f655324545c7"}}