{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:33FZFC4DRG7LMSQJY3O56HLVSH","short_pith_number":"pith:33FZFC4D","canonical_record":{"source":{"id":"1104.4065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-20T16:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"b3c696b88b50c0caf17749b08aac15e5b4b09262665a329792367b3f6a215798","abstract_canon_sha256":"588b3dc384d45b84814f089902c951e74fded332bf4293087afe8a9bbccfc4d6"},"schema_version":"1.0"},"canonical_sha256":"decb928b8389beb64a09c6dddf1d7591c649a942e122aa62455aecd0d72b662c","source":{"kind":"arxiv","id":"1104.4065","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4065","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4065v1","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4065","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"33FZFC4DRG7L","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"33FZFC4DRG7LMSQJ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"33FZFC4D","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:33FZFC4DRG7LMSQJY3O56HLVSH","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-20T16:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"b3c696b88b50c0caf17749b08aac15e5b4b09262665a329792367b3f6a215798","abstract_canon_sha256":"588b3dc384d45b84814f089902c951e74fded332bf4293087afe8a9bbccfc4d6"},"schema_version":"1.0"},"canonical_sha256":"decb928b8389beb64a09c6dddf1d7591c649a942e122aa62455aecd0d72b662c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:17.376706Z","signature_b64":"xPLnxxC7rA6HEsBKmX0cIcdpXK9s9Nlie8d4WxRxLUg00Rnq9+MLzigjiR3FO6qL+m3cG1SBUKEruNdl1hIYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"decb928b8389beb64a09c6dddf1d7591c649a942e122aa62455aecd0d72b662c","last_reissued_at":"2026-05-18T02:02:17.375998Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:17.375998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4065","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":"2026-05-18T02:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rEwvQ9pOjwkCyAzefaO3Qt8iQYIFBr72gVcJ3ubcLLXIqSzMmkp5xWAHSRdgAVevkEDlOpAyelG5u/+FP0FdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:02:53.771499Z"},"content_sha256":"88744615107d1c2006006359eb8eb4e2b4f6cdb583ba04e2188b62107bee47ee","schema_version":"1.0","event_id":"sha256:88744615107d1c2006006359eb8eb4e2b4f6cdb583ba04e2188b62107bee47ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:33FZFC4DRG7LMSQJY3O56HLVSH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Light transmission behaviour as a function of the homogeneity in one dimensional photonic crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Francesco Scotognella, Michele Bellingeri","submitted_at":"2011-04-20T16:08:19Z","abstract_excerpt":"The average light transmission of one-dimensional photonic media has been studied as a function of the medium homogeneity, quantified by the Shannon-Wiener index. We have found a decrease in the average light transmission by increasing the Shannon-Wiener index up to minimum (corresponding to H'=0.9375): from this point, the transmission increases following the Shannon-Wiener index. The behaviour has been confirmed for different pairs of materials forming the photonic structure. Nevertheless, we have observed that the trend slope is proportional to the refractive index ratio between the two mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4065","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":"2026-05-18T02:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5L1i7MWSIQMelivysD7wVE0Vb9C4U5LhOI68e2IGwn/amtm6wcRbSmXLwSQmurNWlDttg2VPmnQ6X68CS+J0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:02:53.772168Z"},"content_sha256":"9018a7346a3fe631bb79118f0073e6544f41bebc9c0c913f2b68f782c77f149b","schema_version":"1.0","event_id":"sha256:9018a7346a3fe631bb79118f0073e6544f41bebc9c0c913f2b68f782c77f149b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/33FZFC4DRG7LMSQJY3O56HLVSH/bundle.json","state_url":"https://pith.science/pith/33FZFC4DRG7LMSQJY3O56HLVSH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/33FZFC4DRG7LMSQJY3O56HLVSH/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":"2026-06-10T01:02:53Z","links":{"resolver":"https://pith.science/pith/33FZFC4DRG7LMSQJY3O56HLVSH","bundle":"https://pith.science/pith/33FZFC4DRG7LMSQJY3O56HLVSH/bundle.json","state":"https://pith.science/pith/33FZFC4DRG7LMSQJY3O56HLVSH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/33FZFC4DRG7LMSQJY3O56HLVSH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:33FZFC4DRG7LMSQJY3O56HLVSH","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":"588b3dc384d45b84814f089902c951e74fded332bf4293087afe8a9bbccfc4d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-20T16:08:19Z","title_canon_sha256":"b3c696b88b50c0caf17749b08aac15e5b4b09262665a329792367b3f6a215798"},"schema_version":"1.0","source":{"id":"1104.4065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4065","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4065v1","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4065","created_at":"2026-05-18T02:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"33FZFC4DRG7L","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"33FZFC4DRG7LMSQJ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"33FZFC4D","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:9018a7346a3fe631bb79118f0073e6544f41bebc9c0c913f2b68f782c77f149b","target":"graph","created_at":"2026-05-18T02:02:17Z","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 average light transmission of one-dimensional photonic media has been studied as a function of the medium homogeneity, quantified by the Shannon-Wiener index. We have found a decrease in the average light transmission by increasing the Shannon-Wiener index up to minimum (corresponding to H'=0.9375): from this point, the transmission increases following the Shannon-Wiener index. The behaviour has been confirmed for different pairs of materials forming the photonic structure. Nevertheless, we have observed that the trend slope is proportional to the refractive index ratio between the two mat","authors_text":"Francesco Scotognella, Michele Bellingeri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-20T16:08:19Z","title":"Light transmission behaviour as a function of the homogeneity in one dimensional photonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4065","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":"sha256:88744615107d1c2006006359eb8eb4e2b4f6cdb583ba04e2188b62107bee47ee","target":"record","created_at":"2026-05-18T02:02:17Z","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":"588b3dc384d45b84814f089902c951e74fded332bf4293087afe8a9bbccfc4d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-20T16:08:19Z","title_canon_sha256":"b3c696b88b50c0caf17749b08aac15e5b4b09262665a329792367b3f6a215798"},"schema_version":"1.0","source":{"id":"1104.4065","kind":"arxiv","version":1}},"canonical_sha256":"decb928b8389beb64a09c6dddf1d7591c649a942e122aa62455aecd0d72b662c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"decb928b8389beb64a09c6dddf1d7591c649a942e122aa62455aecd0d72b662c","first_computed_at":"2026-05-18T02:02:17.375998Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:17.375998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xPLnxxC7rA6HEsBKmX0cIcdpXK9s9Nlie8d4WxRxLUg00Rnq9+MLzigjiR3FO6qL+m3cG1SBUKEruNdl1hIYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:17.376706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88744615107d1c2006006359eb8eb4e2b4f6cdb583ba04e2188b62107bee47ee","sha256:9018a7346a3fe631bb79118f0073e6544f41bebc9c0c913f2b68f782c77f149b"],"state_sha256":"4e242cb08b81d5d56b7eb1240052b8ff9e98a7830360c8a0031d708988b56661"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgSsABeFDJWU/cZHVdbgafLGPP9Ybhc24SnrdINMnZuhOaB2Ux7atGh8XrImhPLva0E/c+ScvKNMS6beD+5BDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:02:53.775795Z","bundle_sha256":"2cb1257c6be5becc4c097c1552ce81f3d077e05040308ab93cced4058a5594be"}}