{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:II5J34BICYDTW54JSJ5Q465LSB","short_pith_number":"pith:II5J34BI","canonical_record":{"source":{"id":"1607.07707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-26T14:18:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a9294834a341fb1b3108b83245b5b635e45adbcf9f41cba261d4a243f314993","abstract_canon_sha256":"d34c9058f340d5c3adf31ab28024acdc5ca678e2200b1e411b49cdcdb2b12607"},"schema_version":"1.0"},"canonical_sha256":"423a9df02816073b7789927b0e7bab904b039c0106c307574bc4c41137f5c4d1","source":{"kind":"arxiv","id":"1607.07707","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07707","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07707v1","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07707","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"II5J34BICYDT","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"II5J34BICYDTW54J","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"II5J34BI","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:II5J34BICYDTW54JSJ5Q465LSB","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-26T14:18:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a9294834a341fb1b3108b83245b5b635e45adbcf9f41cba261d4a243f314993","abstract_canon_sha256":"d34c9058f340d5c3adf31ab28024acdc5ca678e2200b1e411b49cdcdb2b12607"},"schema_version":"1.0"},"canonical_sha256":"423a9df02816073b7789927b0e7bab904b039c0106c307574bc4c41137f5c4d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:41.503998Z","signature_b64":"XtA7zpLPg/7GiJlH72vH5B0DL9AcGCVwhz8QhFbm7FK9K+Z/UNAKvUiUQ9e44lD0iEMPBdNDgz+oues2aVLSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"423a9df02816073b7789927b0e7bab904b039c0106c307574bc4c41137f5c4d1","last_reissued_at":"2026-05-18T00:41:41.503458Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:41.503458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07707","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":"2026-05-18T00:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rIeZrTpBFjafV5P1LyhWhhsc27ViqK2p0Cq3AvsWwewV3CTFDKQpsdFCmL1pQWsjj7ZdJNY76faHR2GfZIaXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:57:19.356424Z"},"content_sha256":"f28c00003e7aeb2d52ee4c8b289084bdcbfd8efc9a5d49386a821ef1ac87e5c3","schema_version":"1.0","event_id":"sha256:f28c00003e7aeb2d52ee4c8b289084bdcbfd8efc9a5d49386a821ef1ac87e5c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:II5J34BICYDTW54JSJ5Q465LSB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis and Design of Adaptive OCDMA Passive Optical Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mohammad Hadi, Mohammad Reza Pakravan","submitted_at":"2016-07-26T14:18:57Z","abstract_excerpt":"OCDMA systems can support multiple classes of service by differentiating code parameters, power level and diversity order. In this paper, we analyze BER performance of a multi-class 1D/2D OCDMA system and propose a new approximation method that can be used to generate accurate estimation of system BER using a simple mathematical form. The proposed approximation provides insight into proper system level analysis, system level design and sensitivity of system performance to the factors such as code parameters, power level and diversity order. Considering code design, code cardinality and system "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07707","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":"2026-05-18T00:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W6q/bn+R3W528af2iTjDA14kI3miJi/5Ss6fKdQioJSVZahwkTEN/qyoBIaGHn2iAHq4H9m0Pl1POQmm1Mt9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:57:19.356764Z"},"content_sha256":"a2eea1dd694fa68ae6d820a3fef470e6edc26fbd07c230d736c164eaaaeee129","schema_version":"1.0","event_id":"sha256:a2eea1dd694fa68ae6d820a3fef470e6edc26fbd07c230d736c164eaaaeee129"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/II5J34BICYDTW54JSJ5Q465LSB/bundle.json","state_url":"https://pith.science/pith/II5J34BICYDTW54JSJ5Q465LSB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/II5J34BICYDTW54JSJ5Q465LSB/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":"2026-06-28T09:57:19Z","links":{"resolver":"https://pith.science/pith/II5J34BICYDTW54JSJ5Q465LSB","bundle":"https://pith.science/pith/II5J34BICYDTW54JSJ5Q465LSB/bundle.json","state":"https://pith.science/pith/II5J34BICYDTW54JSJ5Q465LSB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/II5J34BICYDTW54JSJ5Q465LSB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:II5J34BICYDTW54JSJ5Q465LSB","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":"d34c9058f340d5c3adf31ab28024acdc5ca678e2200b1e411b49cdcdb2b12607","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-26T14:18:57Z","title_canon_sha256":"7a9294834a341fb1b3108b83245b5b635e45adbcf9f41cba261d4a243f314993"},"schema_version":"1.0","source":{"id":"1607.07707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07707","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07707v1","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07707","created_at":"2026-05-18T00:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"II5J34BICYDT","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"II5J34BICYDTW54J","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"II5J34BI","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:a2eea1dd694fa68ae6d820a3fef470e6edc26fbd07c230d736c164eaaaeee129","target":"graph","created_at":"2026-05-18T00:41:41Z","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":"OCDMA systems can support multiple classes of service by differentiating code parameters, power level and diversity order. In this paper, we analyze BER performance of a multi-class 1D/2D OCDMA system and propose a new approximation method that can be used to generate accurate estimation of system BER using a simple mathematical form. The proposed approximation provides insight into proper system level analysis, system level design and sensitivity of system performance to the factors such as code parameters, power level and diversity order. Considering code design, code cardinality and system ","authors_text":"Mohammad Hadi, Mohammad Reza Pakravan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-26T14:18:57Z","title":"Analysis and Design of Adaptive OCDMA Passive Optical Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07707","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:f28c00003e7aeb2d52ee4c8b289084bdcbfd8efc9a5d49386a821ef1ac87e5c3","target":"record","created_at":"2026-05-18T00:41:41Z","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":"d34c9058f340d5c3adf31ab28024acdc5ca678e2200b1e411b49cdcdb2b12607","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-26T14:18:57Z","title_canon_sha256":"7a9294834a341fb1b3108b83245b5b635e45adbcf9f41cba261d4a243f314993"},"schema_version":"1.0","source":{"id":"1607.07707","kind":"arxiv","version":1}},"canonical_sha256":"423a9df02816073b7789927b0e7bab904b039c0106c307574bc4c41137f5c4d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"423a9df02816073b7789927b0e7bab904b039c0106c307574bc4c41137f5c4d1","first_computed_at":"2026-05-18T00:41:41.503458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:41.503458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XtA7zpLPg/7GiJlH72vH5B0DL9AcGCVwhz8QhFbm7FK9K+Z/UNAKvUiUQ9e44lD0iEMPBdNDgz+oues2aVLSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:41.503998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f28c00003e7aeb2d52ee4c8b289084bdcbfd8efc9a5d49386a821ef1ac87e5c3","sha256:a2eea1dd694fa68ae6d820a3fef470e6edc26fbd07c230d736c164eaaaeee129"],"state_sha256":"363a65a89e9fa3cd7f89d438792b98bb554cbcb3de04bfb0f2d9a76442d96b48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I3+8+Q8kerp0cPVQfiw5GT1qJ/EfmNpSYuMYk1lK8h8CFLLYFNNtVfuDfkw2cIe1Y+vN50EAg5v2yrrGj7PaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T09:57:19.358920Z","bundle_sha256":"dbdde6a2a0049b0ca91d1d2d65c8e985af9b64a27a94b40797851354c5fd9950"}}