{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:4EGUV7ECIIJGYYLITRS6BGUGXT","short_pith_number":"pith:4EGUV7EC","canonical_record":{"source":{"id":"physics/0309030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.optics","submitted_at":"2003-09-04T07:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"e4593b2cca0b73e4a45928045be2e145089d39012c9e74a9365e3f0e2d29719d","abstract_canon_sha256":"10b259255d8c2983bf05fedcb3738bb89d364cf69b355ef45229b26791dfecf3"},"schema_version":"1.0"},"canonical_sha256":"e10d4afc8242126c61689c65e09a86bcdf5e1f7df22b351861a55179973ad65e","source":{"kind":"arxiv","id":"physics/0309030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0309030","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0309030v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0309030","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"4EGUV7ECIIJG","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"4EGUV7ECIIJGYYLI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"4EGUV7EC","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:4EGUV7ECIIJGYYLITRS6BGUGXT","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0309030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.optics","submitted_at":"2003-09-04T07:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"e4593b2cca0b73e4a45928045be2e145089d39012c9e74a9365e3f0e2d29719d","abstract_canon_sha256":"10b259255d8c2983bf05fedcb3738bb89d364cf69b355ef45229b26791dfecf3"},"schema_version":"1.0"},"canonical_sha256":"e10d4afc8242126c61689c65e09a86bcdf5e1f7df22b351861a55179973ad65e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:09.016941Z","signature_b64":"uVYLZLhOEBKS9ZwNwoVEZbnKxv7o4ZNMYcnekuYQf+wQWI10ZC0Wajs1Zw+HwoTwDPBGlm45aN9tWSOZX1bRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e10d4afc8242126c61689c65e09a86bcdf5e1f7df22b351861a55179973ad65e","last_reissued_at":"2026-05-18T01:05:09.016281Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:09.016281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0309030","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qZ0M12xuXw6NsKklnoXM+nUzqKy8mv80SqNQTtIyqc2AyOTrIF6157DxFWrFsHOGArZNtgHfiqh8S4Tq5pg3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:54:27.702887Z"},"content_sha256":"ffb6f46e8d6997cbb7680ba8c061c0bfc781d7fac70ac3de3ed1d6a4a2043426","schema_version":"1.0","event_id":"sha256:ffb6f46e8d6997cbb7680ba8c061c0bfc781d7fac70ac3de3ed1d6a4a2043426"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:4EGUV7ECIIJGYYLITRS6BGUGXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mode-Field Radius of Photonic Crystal Fibers Expressed by the V-parameter","license":"","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"A. Bjarklev, J.R. Folkenberg, M.D. Nielsen, N.A. Mortensen","submitted_at":"2003-09-04T07:04:01Z","abstract_excerpt":"We numerically calculate the equivalent mode-field radius of the fundamental mode in a photonic crystal fiber (PCF) and show that this is a function of the V-parameter only and not the relative hole size. This dependency is similar to what is found for graded-index standard fibers and we furthermore show that the relation for the PCF can be excellently approximated with the same general mathematical expression. This is to our knowledge the first semi-analytical description of the mode-field radius of a PCF."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0309030","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdHCrj63xICBnu1ADWgiFEJXP58L/nQFoNue3GuzsAamumh+6PRKi3lUOEZldRdnReV9avD4vgg4oqle5O+5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:54:27.703670Z"},"content_sha256":"c5ca4540437c05f02cc0acf2289c4c7f368dabff9f0e792bd472e89ca0842d69","schema_version":"1.0","event_id":"sha256:c5ca4540437c05f02cc0acf2289c4c7f368dabff9f0e792bd472e89ca0842d69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/bundle.json","state_url":"https://pith.science/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/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":"2026-06-01T05:54:27Z","links":{"resolver":"https://pith.science/pith/4EGUV7ECIIJGYYLITRS6BGUGXT","bundle":"https://pith.science/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/bundle.json","state":"https://pith.science/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EGUV7ECIIJGYYLITRS6BGUGXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:4EGUV7ECIIJGYYLITRS6BGUGXT","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":"10b259255d8c2983bf05fedcb3738bb89d364cf69b355ef45229b26791dfecf3","cross_cats_sorted":[],"license":"","primary_cat":"physics.optics","submitted_at":"2003-09-04T07:04:01Z","title_canon_sha256":"e4593b2cca0b73e4a45928045be2e145089d39012c9e74a9365e3f0e2d29719d"},"schema_version":"1.0","source":{"id":"physics/0309030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0309030","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0309030v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0309030","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"4EGUV7ECIIJG","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"4EGUV7ECIIJGYYLI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"4EGUV7EC","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:c5ca4540437c05f02cc0acf2289c4c7f368dabff9f0e792bd472e89ca0842d69","target":"graph","created_at":"2026-05-18T01:05:09Z","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":"We numerically calculate the equivalent mode-field radius of the fundamental mode in a photonic crystal fiber (PCF) and show that this is a function of the V-parameter only and not the relative hole size. This dependency is similar to what is found for graded-index standard fibers and we furthermore show that the relation for the PCF can be excellently approximated with the same general mathematical expression. This is to our knowledge the first semi-analytical description of the mode-field radius of a PCF.","authors_text":"A. Bjarklev, J.R. Folkenberg, M.D. Nielsen, N.A. Mortensen","cross_cats":[],"headline":"","license":"","primary_cat":"physics.optics","submitted_at":"2003-09-04T07:04:01Z","title":"Mode-Field Radius of Photonic Crystal Fibers Expressed by the V-parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0309030","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:ffb6f46e8d6997cbb7680ba8c061c0bfc781d7fac70ac3de3ed1d6a4a2043426","target":"record","created_at":"2026-05-18T01:05:09Z","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":"10b259255d8c2983bf05fedcb3738bb89d364cf69b355ef45229b26791dfecf3","cross_cats_sorted":[],"license":"","primary_cat":"physics.optics","submitted_at":"2003-09-04T07:04:01Z","title_canon_sha256":"e4593b2cca0b73e4a45928045be2e145089d39012c9e74a9365e3f0e2d29719d"},"schema_version":"1.0","source":{"id":"physics/0309030","kind":"arxiv","version":1}},"canonical_sha256":"e10d4afc8242126c61689c65e09a86bcdf5e1f7df22b351861a55179973ad65e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e10d4afc8242126c61689c65e09a86bcdf5e1f7df22b351861a55179973ad65e","first_computed_at":"2026-05-18T01:05:09.016281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:09.016281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uVYLZLhOEBKS9ZwNwoVEZbnKxv7o4ZNMYcnekuYQf+wQWI10ZC0Wajs1Zw+HwoTwDPBGlm45aN9tWSOZX1bRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:09.016941Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0309030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffb6f46e8d6997cbb7680ba8c061c0bfc781d7fac70ac3de3ed1d6a4a2043426","sha256:c5ca4540437c05f02cc0acf2289c4c7f368dabff9f0e792bd472e89ca0842d69"],"state_sha256":"1618e1a65a3c08cfa69b16bea4962e9220394875f1fe9e6532fe8242d2a6b677"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c3B3N49B8bRBwspg6jbUWCObvewmM3vr3IVaxCGH22js2U64wPuKGT+sPcBRZc4c6SdlfzbdKIn39+o9jp0lDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:54:27.708530Z","bundle_sha256":"10d07225f0d130fc3275ac6e9b5a25414aaf8fa694d42ce7e87fda1d375ead0f"}}