{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:V3PUDOZKLXGD2B3AFPOABLHZO4","short_pith_number":"pith:V3PUDOZK","canonical_record":{"source":{"id":"1109.0329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-01T23:49:09Z","cross_cats_sorted":[],"title_canon_sha256":"f3a8ec62698d2e94f5acd89d543988bec86346fdd98f13d7eb9e2257ecd99a9b","abstract_canon_sha256":"b112759dd32373d4a36d86e3fe741cf0bf310de4d8da030923a3edfe4ba2eae6"},"schema_version":"1.0"},"canonical_sha256":"aedf41bb2a5dcc3d07602bdc00acf977265167f48d1ca4b634cf1d183054bea2","source":{"kind":"arxiv","id":"1109.0329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0329","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0329v1","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0329","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"pith_short_12","alias_value":"V3PUDOZKLXGD","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3PUDOZKLXGD2B3A","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3PUDOZK","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:V3PUDOZKLXGD2B3AFPOABLHZO4","target":"record","payload":{"canonical_record":{"source":{"id":"1109.0329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-01T23:49:09Z","cross_cats_sorted":[],"title_canon_sha256":"f3a8ec62698d2e94f5acd89d543988bec86346fdd98f13d7eb9e2257ecd99a9b","abstract_canon_sha256":"b112759dd32373d4a36d86e3fe741cf0bf310de4d8da030923a3edfe4ba2eae6"},"schema_version":"1.0"},"canonical_sha256":"aedf41bb2a5dcc3d07602bdc00acf977265167f48d1ca4b634cf1d183054bea2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:15.971374Z","signature_b64":"NmKRpNWhwYtJGu/nAkPbabYw9pUIqBd6XEEMFySVU0Tct0GfpBPNqvWbBqSoJVhux6UQBpQTNb3+NfOdf8RDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aedf41bb2a5dcc3d07602bdc00acf977265167f48d1ca4b634cf1d183054bea2","last_reissued_at":"2026-05-18T04:14:15.970692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:15.970692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.0329","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":"2026-05-18T04:14:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9x3O5hsqEP71TXvEojXmBqzT4uq+qskjz9lxr3lFB09FB1iyggqvuzq7/8kJKx4nUD1S41dECUW8Ly4cY05CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:06:14.157309Z"},"content_sha256":"d0632040eb58dad5a470c92c4ae81716d839cb58f9d5ff5e989a13d982631eb1","schema_version":"1.0","event_id":"sha256:d0632040eb58dad5a470c92c4ae81716d839cb58f9d5ff5e989a13d982631eb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:V3PUDOZKLXGD2B3AFPOABLHZO4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Band structure of a two dimensional metallic photonic crystal and the experimental observation of negative refraction in the microwave region","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"D. Mendoza, R. A. Gutierrez-Arenas","submitted_at":"2011-09-01T23:49:09Z","abstract_excerpt":"In this paper we describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite differences in order to write a computational code. We present experiments that confirm the validity of the calculations of the photonic band diagram as well as the refraction indix of such structure. All calculations were made for two dimensional metallic photonic crystal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0329","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":"2026-05-18T04:14:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sem0ZLxyz2cVGdkEZ0TN4Ex+HnAMtMwJMpvAAPngX4pilk32AxRofHk/l2mRqx9B/aQQCBEUm8EGWsnYL2zABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:06:14.158037Z"},"content_sha256":"f33947c103e90081dcfa4202ec2f73008fcf60169a26491995882e7f1aee62db","schema_version":"1.0","event_id":"sha256:f33947c103e90081dcfa4202ec2f73008fcf60169a26491995882e7f1aee62db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/bundle.json","state_url":"https://pith.science/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/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":"2026-05-31T16:06:14Z","links":{"resolver":"https://pith.science/pith/V3PUDOZKLXGD2B3AFPOABLHZO4","bundle":"https://pith.science/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/bundle.json","state":"https://pith.science/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3PUDOZKLXGD2B3AFPOABLHZO4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V3PUDOZKLXGD2B3AFPOABLHZO4","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":"b112759dd32373d4a36d86e3fe741cf0bf310de4d8da030923a3edfe4ba2eae6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-01T23:49:09Z","title_canon_sha256":"f3a8ec62698d2e94f5acd89d543988bec86346fdd98f13d7eb9e2257ecd99a9b"},"schema_version":"1.0","source":{"id":"1109.0329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0329","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0329v1","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0329","created_at":"2026-05-18T04:14:15Z"},{"alias_kind":"pith_short_12","alias_value":"V3PUDOZKLXGD","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3PUDOZKLXGD2B3A","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3PUDOZK","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:f33947c103e90081dcfa4202ec2f73008fcf60169a26491995882e7f1aee62db","target":"graph","created_at":"2026-05-18T04:14:15Z","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 describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite differences in order to write a computational code. We present experiments that confirm the validity of the calculations of the photonic band diagram as well as the refraction indix of such structure. All calculations were made for two dimensional metallic photonic crystal.","authors_text":"D. Mendoza, R. A. Gutierrez-Arenas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-01T23:49:09Z","title":"Band structure of a two dimensional metallic photonic crystal and the experimental observation of negative refraction in the microwave region"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0329","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:d0632040eb58dad5a470c92c4ae81716d839cb58f9d5ff5e989a13d982631eb1","target":"record","created_at":"2026-05-18T04:14:15Z","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":"b112759dd32373d4a36d86e3fe741cf0bf310de4d8da030923a3edfe4ba2eae6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-01T23:49:09Z","title_canon_sha256":"f3a8ec62698d2e94f5acd89d543988bec86346fdd98f13d7eb9e2257ecd99a9b"},"schema_version":"1.0","source":{"id":"1109.0329","kind":"arxiv","version":1}},"canonical_sha256":"aedf41bb2a5dcc3d07602bdc00acf977265167f48d1ca4b634cf1d183054bea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aedf41bb2a5dcc3d07602bdc00acf977265167f48d1ca4b634cf1d183054bea2","first_computed_at":"2026-05-18T04:14:15.970692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:15.970692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NmKRpNWhwYtJGu/nAkPbabYw9pUIqBd6XEEMFySVU0Tct0GfpBPNqvWbBqSoJVhux6UQBpQTNb3+NfOdf8RDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:15.971374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0632040eb58dad5a470c92c4ae81716d839cb58f9d5ff5e989a13d982631eb1","sha256:f33947c103e90081dcfa4202ec2f73008fcf60169a26491995882e7f1aee62db"],"state_sha256":"d27e99a1eeee7e2164982d944549aafcb74ee334f778d2198776a75bbf4742b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RHnSIcMsXts0Q6UPGjPqaWw1Cdr4/iwsCsm20xByAFdHQokUo+5WhlaPSsqtfLQqU3yK6mEfdRxn+2S2IfRAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:06:14.162162Z","bundle_sha256":"bb846cade6aac4f7571b224640fb171f662b118baff485c51ca2e6ea08fe1d2c"}}