{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:BKTJSEHIDRA5DKJFGIV3WWAEZ6","short_pith_number":"pith:BKTJSEHI","canonical_record":{"source":{"id":"2111.14452","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-11-29T11:07:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"36ae27be45dd0b34af4b506ea2ef670a998d1b0e5a32bf583b57384b4b36d415","abstract_canon_sha256":"09832825e3358fe7626d257740b9f5ece8beceaee0c7515b1f674fed6420c7fd"},"schema_version":"1.0"},"canonical_sha256":"0aa69910e81c41d1a925322bbb5804cf8fa9210f9a7a159c62a57c1ef74b9079","source":{"kind":"arxiv","id":"2111.14452","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14452","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14452v3","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14452","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"BKTJSEHIDRA5","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_16","alias_value":"BKTJSEHIDRA5DKJF","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_8","alias_value":"BKTJSEHI","created_at":"2026-07-05T04:56:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:BKTJSEHIDRA5DKJFGIV3WWAEZ6","target":"record","payload":{"canonical_record":{"source":{"id":"2111.14452","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-11-29T11:07:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"36ae27be45dd0b34af4b506ea2ef670a998d1b0e5a32bf583b57384b4b36d415","abstract_canon_sha256":"09832825e3358fe7626d257740b9f5ece8beceaee0c7515b1f674fed6420c7fd"},"schema_version":"1.0"},"canonical_sha256":"0aa69910e81c41d1a925322bbb5804cf8fa9210f9a7a159c62a57c1ef74b9079","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:56:13.253782Z","signature_b64":"xdcBwZUdxJcCw+nf13RO12JB6UMm8JtwuGXUIyEywLVgYjI/GY1WLTtayPQuxgNKg79SmLyem19ZOcBA053jDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0aa69910e81c41d1a925322bbb5804cf8fa9210f9a7a159c62a57c1ef74b9079","last_reissued_at":"2026-07-05T04:56:13.253303Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:56:13.253303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.14452","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qazlKn81u0LEFcRbzstC9/DpDUsVvzOwYzCPQpqy/4DkyVE3JGfBkjs1ZrURFEQNEJpm2CQsqRIlGrkETPozAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:06:15.787910Z"},"content_sha256":"b382a06562579f1f59d378ad95ce4463f2d6c37bf042919856ef54c797fcfd83","schema_version":"1.0","event_id":"sha256:b382a06562579f1f59d378ad95ce4463f2d6c37bf042919856ef54c797fcfd83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:BKTJSEHIDRA5DKJFGIV3WWAEZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Concatenated Codes for Multiple Reads of a DNA Sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexandre Graell i Amat, Andreas Lenz, Antonia Wachter-Zeh, Eirik Rosnes, Issam Maarouf, Lorenz Welter","submitted_at":"2021-11-29T11:07:14Z","abstract_excerpt":"Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a concatenated coding scheme with an outer nonbinary low-density parity-check code or a polar code and either an inner convolutional code or a time-varying block code. We propose two novel decoding algorithms for inference from multiple received sequences, both combining the inner code and channel to a joint hidden Markov model to infer symbolwise a posterior"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14452","kind":"arxiv","version":3},"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/2111.14452/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":"2026-07-05T04:56:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVHo41NheeSktrpI8e0rs1/BeeZw9N3Xru2s8/epdR65I3rJYRZzj2KpwTSV2GkoauN0ivLPLxsqg/FscRC7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:06:15.788403Z"},"content_sha256":"90d4eed845b90fbbc516a1ada7d3841b22783f44678a1d0eafabdc88ea7367a8","schema_version":"1.0","event_id":"sha256:90d4eed845b90fbbc516a1ada7d3841b22783f44678a1d0eafabdc88ea7367a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/bundle.json","state_url":"https://pith.science/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/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":"2026-08-04T00:06:15Z","links":{"resolver":"https://pith.science/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6","bundle":"https://pith.science/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/bundle.json","state":"https://pith.science/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BKTJSEHIDRA5DKJFGIV3WWAEZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:BKTJSEHIDRA5DKJFGIV3WWAEZ6","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":"09832825e3358fe7626d257740b9f5ece8beceaee0c7515b1f674fed6420c7fd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-11-29T11:07:14Z","title_canon_sha256":"36ae27be45dd0b34af4b506ea2ef670a998d1b0e5a32bf583b57384b4b36d415"},"schema_version":"1.0","source":{"id":"2111.14452","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14452","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14452v3","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14452","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_12","alias_value":"BKTJSEHIDRA5","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_16","alias_value":"BKTJSEHIDRA5DKJF","created_at":"2026-07-05T04:56:13Z"},{"alias_kind":"pith_short_8","alias_value":"BKTJSEHI","created_at":"2026-07-05T04:56:13Z"}],"graph_snapshots":[{"event_id":"sha256:90d4eed845b90fbbc516a1ada7d3841b22783f44678a1d0eafabdc88ea7367a8","target":"graph","created_at":"2026-07-05T04:56:13Z","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/2111.14452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a concatenated coding scheme with an outer nonbinary low-density parity-check code or a polar code and either an inner convolutional code or a time-varying block code. We propose two novel decoding algorithms for inference from multiple received sequences, both combining the inner code and channel to a joint hidden Markov model to infer symbolwise a posterior","authors_text":"Alexandre Graell i Amat, Andreas Lenz, Antonia Wachter-Zeh, Eirik Rosnes, Issam Maarouf, Lorenz Welter","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-11-29T11:07:14Z","title":"Concatenated Codes for Multiple Reads of a DNA Sequence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14452","kind":"arxiv","version":3},"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:b382a06562579f1f59d378ad95ce4463f2d6c37bf042919856ef54c797fcfd83","target":"record","created_at":"2026-07-05T04:56:13Z","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":"09832825e3358fe7626d257740b9f5ece8beceaee0c7515b1f674fed6420c7fd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-11-29T11:07:14Z","title_canon_sha256":"36ae27be45dd0b34af4b506ea2ef670a998d1b0e5a32bf583b57384b4b36d415"},"schema_version":"1.0","source":{"id":"2111.14452","kind":"arxiv","version":3}},"canonical_sha256":"0aa69910e81c41d1a925322bbb5804cf8fa9210f9a7a159c62a57c1ef74b9079","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0aa69910e81c41d1a925322bbb5804cf8fa9210f9a7a159c62a57c1ef74b9079","first_computed_at":"2026-07-05T04:56:13.253303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:56:13.253303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xdcBwZUdxJcCw+nf13RO12JB6UMm8JtwuGXUIyEywLVgYjI/GY1WLTtayPQuxgNKg79SmLyem19ZOcBA053jDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:56:13.253782Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.14452","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b382a06562579f1f59d378ad95ce4463f2d6c37bf042919856ef54c797fcfd83","sha256:90d4eed845b90fbbc516a1ada7d3841b22783f44678a1d0eafabdc88ea7367a8"],"state_sha256":"7798fbefe60cca84a40bf8ddc95baa359a51a1350688cc51e0c4e6c937c7d110"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vrTYGyW1omsZ9v7kTzhMZSeXkPuFKg8zj7UpRzI53WnPqzbTswCRCjGugChoQTgMNLHmHoqEFp5yK6hhmeMmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:06:15.792265Z","bundle_sha256":"a459f6dffec993c56fc75fd3ecfc1758888e29c35482a8c375f5392cc3aac30d"}}