{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GT4CCVTFMW7NY2GXS6FTXMQ4J4","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":"a65ce97730020694ddea49b160e0e0b36961368dd6413c022f1876e65b303ce6","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-10-10T13:24:55Z","title_canon_sha256":"0fdffaed5cda9b5b2d7833d4514efcb7c102dbb473f501224462e27d155480c0"},"schema_version":"1.0","source":{"id":"2410.07897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.07897","created_at":"2026-07-05T09:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"2410.07897v1","created_at":"2026-07-05T09:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07897","created_at":"2026-07-05T09:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"GT4CCVTFMW7N","created_at":"2026-07-05T09:18:45Z"},{"alias_kind":"pith_short_16","alias_value":"GT4CCVTFMW7NY2GX","created_at":"2026-07-05T09:18:45Z"},{"alias_kind":"pith_short_8","alias_value":"GT4CCVTF","created_at":"2026-07-05T09:18:45Z"}],"graph_snapshots":[{"event_id":"sha256:5cb8f860d69538583e477c50b29109ed70e251f8dee2dd7b2e6422ccc73838f8","target":"graph","created_at":"2026-07-05T09:18:45Z","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/2410.07897/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a comprehensive guide to designing minimal trellises for both non-degenerate and degenerate decoding of quantum stabilizer codes. For non-degenerate decoding, various strategies are explored, leveraging insights from classical rectangular codes to minimize the complexity associated with the non-degenerate maximum likelihood error estimation using the Viterbi algorithm. Additionally, novel techniques for constructing minimal multi-goal trellises for degenerate decoding are introduced, including a merging algorithm, a Shannon-product approach, and the BCJR-Wolf method. The st","authors_text":"Christian Deppe, Evagoras Stylianou, Holger Boche, Vladimir Sidorenko","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-10-10T13:24:55Z","title":"Minimal Trellises for non-Degenerate and Degenerate Decoding of Quantum Stabilizer Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07897","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":"sha256:60e0319a8a3578fd0b63d4f4afd4d9db8bd43d119cb683e68fb3c07c28416f33","target":"record","created_at":"2026-07-05T09:18:45Z","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":"a65ce97730020694ddea49b160e0e0b36961368dd6413c022f1876e65b303ce6","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-10-10T13:24:55Z","title_canon_sha256":"0fdffaed5cda9b5b2d7833d4514efcb7c102dbb473f501224462e27d155480c0"},"schema_version":"1.0","source":{"id":"2410.07897","kind":"arxiv","version":1}},"canonical_sha256":"34f821566565bedc68d7978b3bb21c4f005a5f962a216c3d7797db4f3e95320b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34f821566565bedc68d7978b3bb21c4f005a5f962a216c3d7797db4f3e95320b","first_computed_at":"2026-07-05T09:18:45.833040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:18:45.833040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iNhtTt385ctBoqzAok24vSmzYcE1/GTaqKcG/gnB2odg2sRs0V8bDlZWMax/ZGvV8lgbiI9XvEH5Gq/DEW5/AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:18:45.833500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.07897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60e0319a8a3578fd0b63d4f4afd4d9db8bd43d119cb683e68fb3c07c28416f33","sha256:5cb8f860d69538583e477c50b29109ed70e251f8dee2dd7b2e6422ccc73838f8"],"state_sha256":"db253d20d38fc1cb6b84c1607dd5204e53a4c4bd155cee9bbaf84b10ee155f2b"}