{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CJZQUFQY6WFYLM4ROJHA42HLSL","short_pith_number":"pith:CJZQUFQY","canonical_record":{"source":{"id":"1701.01743","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-01-06T19:48:16Z","cross_cats_sorted":[],"title_canon_sha256":"ee959c236abcc00cc491c5170084065dfa1f423fb4d9c55bee0e10303c5810c8","abstract_canon_sha256":"6e339135fc43079cd89732b0e863b4648ffb4f36c5b0f1c003ec3e7540afa951"},"schema_version":"1.0"},"canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","source":{"kind":"arxiv","id":"1701.01743","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01743","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01743v2","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01743","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"pith_short_12","alias_value":"CJZQUFQY6WFY","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CJZQUFQY6WFYLM4R","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CJZQUFQY","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CJZQUFQY6WFYLM4ROJHA42HLSL","target":"record","payload":{"canonical_record":{"source":{"id":"1701.01743","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-01-06T19:48:16Z","cross_cats_sorted":[],"title_canon_sha256":"ee959c236abcc00cc491c5170084065dfa1f423fb4d9c55bee0e10303c5810c8","abstract_canon_sha256":"6e339135fc43079cd89732b0e863b4648ffb4f36c5b0f1c003ec3e7540afa951"},"schema_version":"1.0"},"canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:55.393998Z","signature_b64":"+YprtfdK1pyk87dUfht6T4JHMSVTv8el1FW6sEM6KzzWQSXnnRVc1OdLwED3MAQSbo/bABt1sI0aMU/YVWexAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","last_reissued_at":"2026-05-18T00:13:55.392780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:55.392780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.01743","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:13:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Gs4urLM8lrdrcmHLDuFnzuG8MDSCDczNfyDWZE+S+hixbyCoLiYp3cB6p6Q0+OVqbPSsHKwM4K+ux1UMAOSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:46:28.722003Z"},"content_sha256":"b592fc24ddcd995879ebe8a7bfd211483cb147d895c6a97a24ca781825408421","schema_version":"1.0","event_id":"sha256:b592fc24ddcd995879ebe8a7bfd211483cb147d895c6a97a24ca781825408421"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CJZQUFQY6WFYLM4ROJHA42HLSL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite size scaling of density of states in photonic bandgap crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ad Lagendijk, Allard P. Mosk, Shakeeb Bin Hasan, Willem L. Vos","submitted_at":"2017-01-06T19:48:16Z","abstract_excerpt":"The famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to the infinite-crystal limit. In contrast, all experiments and device applications refer to finite crystals, which raises the question: Upon increasing the linear size $L$ of a crystal, how fast does the DOS approach the infinite-crystal limit? We present a theory for finite crystals that includes Bloch-mode broadening due to the presence of crystal boundaries. Our results demonstrate that the DOS for frequencies inside a band gap has a $1/L$ scale dependence for crystals in one, two and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01743","kind":"arxiv","version":2},"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":"2026-05-18T00:13:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bp3AFpkAjZi+yKnGNw/oOwM/Uo9X5U5p1wO1S5Z7nOhCvwaAOeGSLyAmheSnMWlenUsBAHD5je27gJsElpMTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:46:28.722571Z"},"content_sha256":"684af41872a381c83045a105acb987fcf27fa6f146c3daa004c325d1d55e9e86","schema_version":"1.0","event_id":"sha256:684af41872a381c83045a105acb987fcf27fa6f146c3daa004c325d1d55e9e86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/bundle.json","state_url":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/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":"2026-05-23T05:46:28Z","links":{"resolver":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL","bundle":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/bundle.json","state":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CJZQUFQY6WFYLM4ROJHA42HLSL","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":"6e339135fc43079cd89732b0e863b4648ffb4f36c5b0f1c003ec3e7540afa951","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-01-06T19:48:16Z","title_canon_sha256":"ee959c236abcc00cc491c5170084065dfa1f423fb4d9c55bee0e10303c5810c8"},"schema_version":"1.0","source":{"id":"1701.01743","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01743","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01743v2","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01743","created_at":"2026-05-18T00:13:55Z"},{"alias_kind":"pith_short_12","alias_value":"CJZQUFQY6WFY","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CJZQUFQY6WFYLM4R","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CJZQUFQY","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:684af41872a381c83045a105acb987fcf27fa6f146c3daa004c325d1d55e9e86","target":"graph","created_at":"2026-05-18T00:13:55Z","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 famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to the infinite-crystal limit. In contrast, all experiments and device applications refer to finite crystals, which raises the question: Upon increasing the linear size $L$ of a crystal, how fast does the DOS approach the infinite-crystal limit? We present a theory for finite crystals that includes Bloch-mode broadening due to the presence of crystal boundaries. Our results demonstrate that the DOS for frequencies inside a band gap has a $1/L$ scale dependence for crystals in one, two and ","authors_text":"Ad Lagendijk, Allard P. Mosk, Shakeeb Bin Hasan, Willem L. Vos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-01-06T19:48:16Z","title":"Finite size scaling of density of states in photonic bandgap crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01743","kind":"arxiv","version":2},"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:b592fc24ddcd995879ebe8a7bfd211483cb147d895c6a97a24ca781825408421","target":"record","created_at":"2026-05-18T00:13:55Z","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":"6e339135fc43079cd89732b0e863b4648ffb4f36c5b0f1c003ec3e7540afa951","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-01-06T19:48:16Z","title_canon_sha256":"ee959c236abcc00cc491c5170084065dfa1f423fb4d9c55bee0e10303c5810c8"},"schema_version":"1.0","source":{"id":"1701.01743","kind":"arxiv","version":2}},"canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","first_computed_at":"2026-05-18T00:13:55.392780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:55.392780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+YprtfdK1pyk87dUfht6T4JHMSVTv8el1FW6sEM6KzzWQSXnnRVc1OdLwED3MAQSbo/bABt1sI0aMU/YVWexAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:55.393998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01743","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b592fc24ddcd995879ebe8a7bfd211483cb147d895c6a97a24ca781825408421","sha256:684af41872a381c83045a105acb987fcf27fa6f146c3daa004c325d1d55e9e86"],"state_sha256":"5051a7c1dac2df50cbbedf3a2f1a33a6077adc032ec36dcd222fe3cc8c7b4cde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dBLvtSrPhfO9GYxF6GlVI1ZjnxNL5n0bwIOJUBT8hhVMZvBoXw+KWyS4XeVpEz+G0gi67HBWk+7f0Qsx2KmkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T05:46:28.725964Z","bundle_sha256":"280490e50611185877413b566ca30c5cee2994473b6e5cc67b8bba122c8339e1"}}