{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UE4QN755RO4DGV7UNJEDXGPX5Z","short_pith_number":"pith:UE4QN755","canonical_record":{"source":{"id":"1601.04163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-16T13:54:41Z","cross_cats_sorted":[],"title_canon_sha256":"115801761e8f5ea95df7505bc52424cca31cc5d8153cb6fcc659dae7a437dda1","abstract_canon_sha256":"d30eff238576766764eaa53ac82c72e26c0ba80792ce6678c27334bc27b971e9"},"schema_version":"1.0"},"canonical_sha256":"a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b","source":{"kind":"arxiv","id":"1601.04163","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04163","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04163v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04163","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"UE4QN755RO4D","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UE4QN755RO4DGV7U","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UE4QN755","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UE4QN755RO4DGV7UNJEDXGPX5Z","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-16T13:54:41Z","cross_cats_sorted":[],"title_canon_sha256":"115801761e8f5ea95df7505bc52424cca31cc5d8153cb6fcc659dae7a437dda1","abstract_canon_sha256":"d30eff238576766764eaa53ac82c72e26c0ba80792ce6678c27334bc27b971e9"},"schema_version":"1.0"},"canonical_sha256":"a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:45.756092Z","signature_b64":"1Yk1r7VkvbyiiDCEMYEx3tNix6vqO1azBFEc/lYzFVK3AkkHamBMYkC9DbRYlPxIq0qVMyXjjVZ2CWs3QVUCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b","last_reissued_at":"2026-05-18T01:22:45.755482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:45.755482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04163","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbXC7PO+7sL/dwvcCH9/lBjPCGGrclktIbSU4cE3Of4ojLutG7laO4zu+NuKGzvrPSbKmZ919LE5c/cenynPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:57:53.666261Z"},"content_sha256":"045acfa436c228a719589ef5cdeb84689258b063802566f6c491cc503b810dfe","schema_version":"1.0","event_id":"sha256:045acfa436c228a719589ef5cdeb84689258b063802566f6c491cc503b810dfe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UE4QN755RO4DGV7UNJEDXGPX5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional function photonic crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ji Ma, Xiang-Yao Wu, Xiao-jing Liu, Yu Liang","submitted_at":"2016-01-16T13:54:41Z","abstract_excerpt":"In this paper, we have firstly proposed two-dimensional function photonic crystals, which the dielectric constants of medium columns are the functions of space coordinates $\\vec{r}$, it is different from the two-dimensional conventional photonic crystals constituting by the medium columns of dielectric constants are constants. We find the band gaps of two-dimensional function photonic crystals are different from the two-dimensional conventional photonic crystals, and when the functions form of dielectric constants are different, the band gaps structure should be changed, which can be designed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04163","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":"2026-05-18T01:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ud3CHpg1h07Y9MJ9SXNcIakrs6MKahUr2K8yMw36laxM0wAPiGIUCXQ9ZCIGAIWYIQFG4yiox4MwS7QzZYXVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:57:53.666800Z"},"content_sha256":"cb6f0b48e4ba03750976d6bc692739600e6fc55b38b45292379710129610579e","schema_version":"1.0","event_id":"sha256:cb6f0b48e4ba03750976d6bc692739600e6fc55b38b45292379710129610579e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/bundle.json","state_url":"https://pith.science/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/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":"2026-05-23T22:57:53Z","links":{"resolver":"https://pith.science/pith/UE4QN755RO4DGV7UNJEDXGPX5Z","bundle":"https://pith.science/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/bundle.json","state":"https://pith.science/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UE4QN755RO4DGV7UNJEDXGPX5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UE4QN755RO4DGV7UNJEDXGPX5Z","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":"d30eff238576766764eaa53ac82c72e26c0ba80792ce6678c27334bc27b971e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-16T13:54:41Z","title_canon_sha256":"115801761e8f5ea95df7505bc52424cca31cc5d8153cb6fcc659dae7a437dda1"},"schema_version":"1.0","source":{"id":"1601.04163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04163","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04163v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04163","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"UE4QN755RO4D","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UE4QN755RO4DGV7U","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UE4QN755","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:cb6f0b48e4ba03750976d6bc692739600e6fc55b38b45292379710129610579e","target":"graph","created_at":"2026-05-18T01:22:45Z","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":"In this paper, we have firstly proposed two-dimensional function photonic crystals, which the dielectric constants of medium columns are the functions of space coordinates $\\vec{r}$, it is different from the two-dimensional conventional photonic crystals constituting by the medium columns of dielectric constants are constants. We find the band gaps of two-dimensional function photonic crystals are different from the two-dimensional conventional photonic crystals, and when the functions form of dielectric constants are different, the band gaps structure should be changed, which can be designed ","authors_text":"Ji Ma, Xiang-Yao Wu, Xiao-jing Liu, Yu Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-16T13:54:41Z","title":"Two-dimensional function photonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04163","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":"sha256:045acfa436c228a719589ef5cdeb84689258b063802566f6c491cc503b810dfe","target":"record","created_at":"2026-05-18T01:22:45Z","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":"d30eff238576766764eaa53ac82c72e26c0ba80792ce6678c27334bc27b971e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-16T13:54:41Z","title_canon_sha256":"115801761e8f5ea95df7505bc52424cca31cc5d8153cb6fcc659dae7a437dda1"},"schema_version":"1.0","source":{"id":"1601.04163","kind":"arxiv","version":1}},"canonical_sha256":"a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b","first_computed_at":"2026-05-18T01:22:45.755482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:45.755482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Yk1r7VkvbyiiDCEMYEx3tNix6vqO1azBFEc/lYzFVK3AkkHamBMYkC9DbRYlPxIq0qVMyXjjVZ2CWs3QVUCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:45.756092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:045acfa436c228a719589ef5cdeb84689258b063802566f6c491cc503b810dfe","sha256:cb6f0b48e4ba03750976d6bc692739600e6fc55b38b45292379710129610579e"],"state_sha256":"556101749e129d12bb353d53a8fded4e92b65fe242f4b76391b6d3cd96101c53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p5sBHLeqGWYCNwLk3eUC3LiRTF6H/63lEd2vZfJOF1xPRtTapn+iQbDoXnutlJQ1FWA3CQMAsCA/pxkv6+zaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T22:57:53.670039Z","bundle_sha256":"56280c506bbd5a6759d06bd030b1820820ffd8b562308cf86ad0c0a54a2a57e4"}}