{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5RSCTEYJEEZZCKJKZ4ZR2YLGIH","short_pith_number":"pith:5RSCTEYJ","schema_version":"1.0","canonical_sha256":"ec64299309213391292acf331d616641c4a2bcb8fa6f0866931391653e828832","source":{"kind":"arxiv","id":"1503.03124","version":2},"attestation_state":"computed","paper":{"title":"Models and Information Rates for Multiuser Optical Fiber Channels with Nonlinearity and Dispersion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gerhard Kramer, Hassan Ghozlan","submitted_at":"2015-03-10T23:38:27Z","abstract_excerpt":"Two discrete-time interference channel models are developed for information transmission over a single span of optical fiber using wavelength-division multiplexing (WDM) and lumped amplification. The models are derived from the nonlinear Schroedinger (NLS) equation by including the nonlinear phenomena of self-phase modulation (SPM) and cross-phase modulation (XPM) but ignoring four-wave mixing (FWM), polarization effects and group velocity dispersion (GVD) within WDM bands. The first model also ignores GVD across WDM bands, referred to as group velocity mistmatch (GVM). For the case of two use"},"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":"1503.03124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-10T23:38:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"956b0ba54de156b5ea3c1f0e919bf1d359a8c49d05e249a0660b3bbed088f0cb","abstract_canon_sha256":"26295d22520fb208a881ef3deb1694fcd1a12737d2b61cf042809cd39dc8f3ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:14.020484Z","signature_b64":"+ge7B8QvGBrfWE2KyCgUC9TyhqmDuXdFQmBxE2rb/FVnMYOufqQmmrrVfbsYGO3S0cTdJEKDUFUEPqFPqfEvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec64299309213391292acf331d616641c4a2bcb8fa6f0866931391653e828832","last_reissued_at":"2026-05-18T00:38:14.019832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:14.019832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Models and Information Rates for Multiuser Optical Fiber Channels with Nonlinearity and Dispersion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gerhard Kramer, Hassan Ghozlan","submitted_at":"2015-03-10T23:38:27Z","abstract_excerpt":"Two discrete-time interference channel models are developed for information transmission over a single span of optical fiber using wavelength-division multiplexing (WDM) and lumped amplification. The models are derived from the nonlinear Schroedinger (NLS) equation by including the nonlinear phenomena of self-phase modulation (SPM) and cross-phase modulation (XPM) but ignoring four-wave mixing (FWM), polarization effects and group velocity dispersion (GVD) within WDM bands. The first model also ignores GVD across WDM bands, referred to as group velocity mistmatch (GVM). For the case of two use"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03124","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":"1503.03124","created_at":"2026-05-18T00:38:14.019930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.03124v2","created_at":"2026-05-18T00:38:14.019930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03124","created_at":"2026-05-18T00:38:14.019930+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RSCTEYJEEZZ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RSCTEYJEEZZCKJK","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RSCTEYJ","created_at":"2026-05-18T12:29:07.941421+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/5RSCTEYJEEZZCKJKZ4ZR2YLGIH","json":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH.json","graph_json":"https://pith.science/api/pith-number/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/graph.json","events_json":"https://pith.science/api/pith-number/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/events.json","paper":"https://pith.science/paper/5RSCTEYJ"},"agent_actions":{"view_html":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH","download_json":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH.json","view_paper":"https://pith.science/paper/5RSCTEYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.03124&json=true","fetch_graph":"https://pith.science/api/pith-number/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/graph.json","fetch_events":"https://pith.science/api/pith-number/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/action/storage_attestation","attest_author":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/action/author_attestation","sign_citation":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/action/citation_signature","submit_replication":"https://pith.science/pith/5RSCTEYJEEZZCKJKZ4ZR2YLGIH/action/replication_record"}},"created_at":"2026-05-18T00:38:14.019930+00:00","updated_at":"2026-05-18T00:38:14.019930+00:00"}