{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:A5K32ZU5HZTK2HKYRKGTS4OTNS","short_pith_number":"pith:A5K32ZU5","canonical_record":{"source":{"id":"0811.0343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-11-03T17:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"1ce9e91a50e658395345a9e436c9b7c4c6c5051662252a2c3d1d5579d67747cd","abstract_canon_sha256":"b5288675216bbe5242c7d8247f6da8c79b875bd0ea4cdce35da1aa3c41c44807"},"schema_version":"1.0"},"canonical_sha256":"0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4","source":{"kind":"arxiv","id":"0811.0343","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0343","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0343v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0343","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"A5K32ZU5HZTK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"A5K32ZU5HZTK2HKY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"A5K32ZU5","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:A5K32ZU5HZTK2HKYRKGTS4OTNS","target":"record","payload":{"canonical_record":{"source":{"id":"0811.0343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-11-03T17:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"1ce9e91a50e658395345a9e436c9b7c4c6c5051662252a2c3d1d5579d67747cd","abstract_canon_sha256":"b5288675216bbe5242c7d8247f6da8c79b875bd0ea4cdce35da1aa3c41c44807"},"schema_version":"1.0"},"canonical_sha256":"0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:22.378436Z","signature_b64":"OD8QuO/fUzJf9ewrf+GTJeeCIIQDBEkaaCse5QapZRkxnUWWWM0mC3PhqEy1MhY1NBdDHw51gdduGEJ8KAo5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4","last_reissued_at":"2026-05-18T02:15:22.377797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:22.377797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.0343","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3JEu/OCXGULr7HQLld+31Gw02SFsgxmGqJOfAHOx1meAiIupd4Ch3tQAdGaPjso4TL08w7utRP98xHBU/0URAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:02:24.115956Z"},"content_sha256":"ba0089e12cc23de1f008549833d53d38a7bc6ef35dcb91f56a2b837e6e6dd601","schema_version":"1.0","event_id":"sha256:ba0089e12cc23de1f008549833d53d38a7bc6ef35dcb91f56a2b837e6e6dd601"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:A5K32ZU5HZTK2HKYRKGTS4OTNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal Generalized Zone Plates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Gladys Minguez-Vega, Jesus Lancis, Juan A. Monsoriu, Mercedes Fernandez-Alonso, Omel Mendoza-Yero, Vicent Climent","submitted_at":"2008-11-03T17:03:33Z","abstract_excerpt":"The construction of fractal generalized zone plates (FraGZPs) from a set of periodic diffractive optical elements with circular symmetry is proposed. This allows us to increase the number of foci of a conventional fractal zone plate (FraZP), keeping the self-similarity property within the axial irradiance. The focusing properties of these fractal diffractive optical elements for points not only along but also in the close vicinity of the optical axis are investigated. In both cases analytical expressions for the irradiance are derived. Numerical simulations of the energetic efficiency of FraGZ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0343","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EM++x09uriNip04Swb3k8mMx0Qf4x1WzgLqIL+LICtxQSjlEfs0IEorJPmP3+cBRieTSVef35bqgPh0+qWxgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:02:24.116769Z"},"content_sha256":"01ca450a61f84955066cfcaa4bce7d8ca6681b173a53af6265a90283836d4e00","schema_version":"1.0","event_id":"sha256:01ca450a61f84955066cfcaa4bce7d8ca6681b173a53af6265a90283836d4e00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/bundle.json","state_url":"https://pith.science/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/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":"2026-06-01T01:02:24Z","links":{"resolver":"https://pith.science/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS","bundle":"https://pith.science/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/bundle.json","state":"https://pith.science/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5K32ZU5HZTK2HKYRKGTS4OTNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:A5K32ZU5HZTK2HKYRKGTS4OTNS","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":"b5288675216bbe5242c7d8247f6da8c79b875bd0ea4cdce35da1aa3c41c44807","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-11-03T17:03:33Z","title_canon_sha256":"1ce9e91a50e658395345a9e436c9b7c4c6c5051662252a2c3d1d5579d67747cd"},"schema_version":"1.0","source":{"id":"0811.0343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0343","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0343v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0343","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"A5K32ZU5HZTK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"A5K32ZU5HZTK2HKY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"A5K32ZU5","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:01ca450a61f84955066cfcaa4bce7d8ca6681b173a53af6265a90283836d4e00","target":"graph","created_at":"2026-05-18T02:15:22Z","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 construction of fractal generalized zone plates (FraGZPs) from a set of periodic diffractive optical elements with circular symmetry is proposed. This allows us to increase the number of foci of a conventional fractal zone plate (FraZP), keeping the self-similarity property within the axial irradiance. The focusing properties of these fractal diffractive optical elements for points not only along but also in the close vicinity of the optical axis are investigated. In both cases analytical expressions for the irradiance are derived. Numerical simulations of the energetic efficiency of FraGZ","authors_text":"Gladys Minguez-Vega, Jesus Lancis, Juan A. Monsoriu, Mercedes Fernandez-Alonso, Omel Mendoza-Yero, Vicent Climent","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-11-03T17:03:33Z","title":"Fractal Generalized Zone Plates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0343","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:ba0089e12cc23de1f008549833d53d38a7bc6ef35dcb91f56a2b837e6e6dd601","target":"record","created_at":"2026-05-18T02:15:22Z","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":"b5288675216bbe5242c7d8247f6da8c79b875bd0ea4cdce35da1aa3c41c44807","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-11-03T17:03:33Z","title_canon_sha256":"1ce9e91a50e658395345a9e436c9b7c4c6c5051662252a2c3d1d5579d67747cd"},"schema_version":"1.0","source":{"id":"0811.0343","kind":"arxiv","version":1}},"canonical_sha256":"0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0755bd669d3e66ad1d588a8d3971d36c8cf1c42a6cb8d5f27be6b448796b59f4","first_computed_at":"2026-05-18T02:15:22.377797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:22.377797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OD8QuO/fUzJf9ewrf+GTJeeCIIQDBEkaaCse5QapZRkxnUWWWM0mC3PhqEy1MhY1NBdDHw51gdduGEJ8KAo5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:22.378436Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.0343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba0089e12cc23de1f008549833d53d38a7bc6ef35dcb91f56a2b837e6e6dd601","sha256:01ca450a61f84955066cfcaa4bce7d8ca6681b173a53af6265a90283836d4e00"],"state_sha256":"a8d738b31428ebd43e6d6ad36d5e53a1bdca8453bd8a59057a7408e7a1857d52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Oo2L5GF0DUmH7zQpeTgOb5svbK9D7ctUvH0v0XPLHy7xAIbI2B34YHutcuySiV5LhqJH3KQTfx13wiE22SrCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:02:24.121216Z","bundle_sha256":"e5e96e139bb185fdbcc9f4dda151c11980f7a70b8bdd57002c5fcfb74db1df0f"}}