{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VPO7QFTRBNIEUDBUMOCSKM4KRI","short_pith_number":"pith:VPO7QFTR","canonical_record":{"source":{"id":"2502.03774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-06T04:25:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ff4f8db7c0496ca76d4bbe78c8e6118c6943b4a8d06cbab4be4f5199b8df7020","abstract_canon_sha256":"1ddf225f08899870731b799bd632bcb1765390145ba3304e6f150ecdef64b246"},"schema_version":"1.0"},"canonical_sha256":"abddf816710b504a0c34638525338a8a1e9c12b4a6cb51e49a97046a28b2626b","source":{"kind":"arxiv","id":"2502.03774","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03774","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03774v2","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03774","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_12","alias_value":"VPO7QFTRBNIE","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_16","alias_value":"VPO7QFTRBNIEUDBU","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_8","alias_value":"VPO7QFTR","created_at":"2026-07-05T10:15:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VPO7QFTRBNIEUDBUMOCSKM4KRI","target":"record","payload":{"canonical_record":{"source":{"id":"2502.03774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-06T04:25:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ff4f8db7c0496ca76d4bbe78c8e6118c6943b4a8d06cbab4be4f5199b8df7020","abstract_canon_sha256":"1ddf225f08899870731b799bd632bcb1765390145ba3304e6f150ecdef64b246"},"schema_version":"1.0"},"canonical_sha256":"abddf816710b504a0c34638525338a8a1e9c12b4a6cb51e49a97046a28b2626b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:15:25.598903Z","signature_b64":"ju02BgkH1vpjYtRnIY7uO/ifxOYP1ZXO1RPj1xIGAEUblWDnkL3FNuW7OK8gf3fYrmt62uBhKuyIvBAUpT9tBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abddf816710b504a0c34638525338a8a1e9c12b4a6cb51e49a97046a28b2626b","last_reissued_at":"2026-07-05T10:15:25.598369Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:15:25.598369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.03774","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:15:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFUob50hqSVyB6Th3vyEwtVriI5MiXKO+UtsIx0VlvNoFzPecfAYtMg0ahBfe9H00smLnaoI/Cs7JSoUkiv8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:46:54.079458Z"},"content_sha256":"99bcdd794e565c6f831608dca8e20c7edfbae7ba169ca536e93cefe19f67fda7","schema_version":"1.0","event_id":"sha256:99bcdd794e565c6f831608dca8e20c7edfbae7ba169ca536e93cefe19f67fda7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VPO7QFTRBNIEUDBUMOCSKM4KRI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-Rate Spatially Coupled LDPC Codes Based on Massey's Convolutional Self-Orthogonal Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Daniel J. Costello, David G. M. Mitchell, Jr., Michael Lentmaier, Min Zhu","submitted_at":"2025-02-06T04:25:16Z","abstract_excerpt":"In this paper, we study a new class of high-rate spatially coupled LDPC (SC-LDPC) codes based on the convolutional self-orthogonal codes (CSOCs) first introduced by Massey. The SC-LDPC codes are constructed by treating the irregular graph corresponding to the parity-check matrix of a systematic rate R = (n - 1)/n CSOC as a convolutional protograph. The protograph can then be lifted using permutation matrices to generate a high-rate SC-LDPC code whose strength depends on the lifting factor. The SC-LDPC codes constructed in this fashion can be decoded using iterative belief propagation (BP) base"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03774","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.03774/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:15:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SqMU9W7wxKGfTPQ33ZIN+QilZMA00UK6h+mrHlKHQjoqh5PoX1x4PmVzGUK6EgzcBLW5LPoTC20SbI5rBnxSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:46:54.080026Z"},"content_sha256":"067e3a3437a901f7638141e65f727274ba0368d61106c990df08264b90643dbb","schema_version":"1.0","event_id":"sha256:067e3a3437a901f7638141e65f727274ba0368d61106c990df08264b90643dbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/bundle.json","state_url":"https://pith.science/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/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":"2026-08-04T07:46:54Z","links":{"resolver":"https://pith.science/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI","bundle":"https://pith.science/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/bundle.json","state":"https://pith.science/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VPO7QFTRBNIEUDBUMOCSKM4KRI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VPO7QFTRBNIEUDBUMOCSKM4KRI","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":"1ddf225f08899870731b799bd632bcb1765390145ba3304e6f150ecdef64b246","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-06T04:25:16Z","title_canon_sha256":"ff4f8db7c0496ca76d4bbe78c8e6118c6943b4a8d06cbab4be4f5199b8df7020"},"schema_version":"1.0","source":{"id":"2502.03774","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03774","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03774v2","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03774","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_12","alias_value":"VPO7QFTRBNIE","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_16","alias_value":"VPO7QFTRBNIEUDBU","created_at":"2026-07-05T10:15:25Z"},{"alias_kind":"pith_short_8","alias_value":"VPO7QFTR","created_at":"2026-07-05T10:15:25Z"}],"graph_snapshots":[{"event_id":"sha256:067e3a3437a901f7638141e65f727274ba0368d61106c990df08264b90643dbb","target":"graph","created_at":"2026-07-05T10:15:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.03774/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study a new class of high-rate spatially coupled LDPC (SC-LDPC) codes based on the convolutional self-orthogonal codes (CSOCs) first introduced by Massey. The SC-LDPC codes are constructed by treating the irregular graph corresponding to the parity-check matrix of a systematic rate R = (n - 1)/n CSOC as a convolutional protograph. The protograph can then be lifted using permutation matrices to generate a high-rate SC-LDPC code whose strength depends on the lifting factor. The SC-LDPC codes constructed in this fashion can be decoded using iterative belief propagation (BP) base","authors_text":"Daniel J. Costello, David G. M. Mitchell, Jr., Michael Lentmaier, Min Zhu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-06T04:25:16Z","title":"High-Rate Spatially Coupled LDPC Codes Based on Massey's Convolutional Self-Orthogonal Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03774","kind":"arxiv","version":2},"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":"sha256:99bcdd794e565c6f831608dca8e20c7edfbae7ba169ca536e93cefe19f67fda7","target":"record","created_at":"2026-07-05T10:15:25Z","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":"1ddf225f08899870731b799bd632bcb1765390145ba3304e6f150ecdef64b246","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-06T04:25:16Z","title_canon_sha256":"ff4f8db7c0496ca76d4bbe78c8e6118c6943b4a8d06cbab4be4f5199b8df7020"},"schema_version":"1.0","source":{"id":"2502.03774","kind":"arxiv","version":2}},"canonical_sha256":"abddf816710b504a0c34638525338a8a1e9c12b4a6cb51e49a97046a28b2626b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abddf816710b504a0c34638525338a8a1e9c12b4a6cb51e49a97046a28b2626b","first_computed_at":"2026-07-05T10:15:25.598369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:15:25.598369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ju02BgkH1vpjYtRnIY7uO/ifxOYP1ZXO1RPj1xIGAEUblWDnkL3FNuW7OK8gf3fYrmt62uBhKuyIvBAUpT9tBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:15:25.598903Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.03774","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99bcdd794e565c6f831608dca8e20c7edfbae7ba169ca536e93cefe19f67fda7","sha256:067e3a3437a901f7638141e65f727274ba0368d61106c990df08264b90643dbb"],"state_sha256":"98e806e48095b18cdc4de4eab8d268ffc45af7bd80b9ec50a7e20d16cb5ef18e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cm4YsHFsso0sDoVIIcZ1GffdfKfg31JVYPNxcG/o8yuPNViYUJBzo5wdnXwsWHyOpnENqz6nWWiO4qxT2G8KCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:46:54.107750Z","bundle_sha256":"f7d18a377a07ca5d24b3623de1ad56cf90b7c8f3830c6f70838b778425fc8d94"}}