{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CJZQUFQY6WFYLM4ROJHA42HLSL","short_pith_number":"pith:CJZQUFQY","schema_version":"1.0","canonical_sha256":"12730a1618f58b85b391724e0e68eb92dd481cf33e88f22607553307fe006bd2","source":{"kind":"arxiv","id":"1701.01743","version":2},"attestation_state":"computed","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"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"},"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"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1701.01743","created_at":"2026-05-18T00:13:55.393160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.01743v2","created_at":"2026-05-18T00:13:55.393160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01743","created_at":"2026-05-18T00:13:55.393160+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJZQUFQY6WFY","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJZQUFQY6WFYLM4R","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJZQUFQY","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL","json":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL.json","graph_json":"https://pith.science/api/pith-number/CJZQUFQY6WFYLM4ROJHA42HLSL/graph.json","events_json":"https://pith.science/api/pith-number/CJZQUFQY6WFYLM4ROJHA42HLSL/events.json","paper":"https://pith.science/paper/CJZQUFQY"},"agent_actions":{"view_html":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL","download_json":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL.json","view_paper":"https://pith.science/paper/CJZQUFQY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.01743&json=true","fetch_graph":"https://pith.science/api/pith-number/CJZQUFQY6WFYLM4ROJHA42HLSL/graph.json","fetch_events":"https://pith.science/api/pith-number/CJZQUFQY6WFYLM4ROJHA42HLSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/action/storage_attestation","attest_author":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/action/author_attestation","sign_citation":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/action/citation_signature","submit_replication":"https://pith.science/pith/CJZQUFQY6WFYLM4ROJHA42HLSL/action/replication_record"}},"created_at":"2026-05-18T00:13:55.393160+00:00","updated_at":"2026-05-18T00:13:55.393160+00:00"}