{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5LIG5U7YCUGT7V33JUVCILWMCH","short_pith_number":"pith:5LIG5U7Y","canonical_record":{"source":{"id":"2305.05777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-09T21:43:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5fa75f99e3fe3c3820916c5d0d8c8f1b47416017c54ba9c42eca6b84f934b95a","abstract_canon_sha256":"a3ddd97eff6bdfa4d964132640bac4797e0b1adf7c4a6f49b5d1c60eeba1c158"},"schema_version":"1.0"},"canonical_sha256":"ead06ed3f8150d3fd77b4d2a242ecc11f89de77a1173eb1b677c54b7510e97e6","source":{"kind":"arxiv","id":"2305.05777","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.05777","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"2305.05777v1","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.05777","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"5LIG5U7YCUGT","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_16","alias_value":"5LIG5U7YCUGT7V33","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_8","alias_value":"5LIG5U7Y","created_at":"2026-07-05T06:39:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5LIG5U7YCUGT7V33JUVCILWMCH","target":"record","payload":{"canonical_record":{"source":{"id":"2305.05777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-09T21:43:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5fa75f99e3fe3c3820916c5d0d8c8f1b47416017c54ba9c42eca6b84f934b95a","abstract_canon_sha256":"a3ddd97eff6bdfa4d964132640bac4797e0b1adf7c4a6f49b5d1c60eeba1c158"},"schema_version":"1.0"},"canonical_sha256":"ead06ed3f8150d3fd77b4d2a242ecc11f89de77a1173eb1b677c54b7510e97e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:39:53.547573Z","signature_b64":"csUng9zev7DHRhwblyQEPx3ylrI9oDWUcuqLqr8fMAiFkf2hLfE0id5miu5AgvSHpEwXNMgSMOIkpQ8U3G/8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ead06ed3f8150d3fd77b4d2a242ecc11f89de77a1173eb1b677c54b7510e97e6","last_reissued_at":"2026-07-05T06:39:53.547092Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:39:53.547092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.05777","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":"2026-07-05T06:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zoQrSixDgaxoELLyo09OtCY58vYgZlb1+5Gui8n6lG7+Lx30qZei84UXLap4ZLHwW1NYTOYVL90c4boCSlFnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T09:48:11.444595Z"},"content_sha256":"d1c42427af00b60d45c8e5cdfe2c7a30daf89828f4dd113dd971f3f08a7aec70","schema_version":"1.0","event_id":"sha256:d1c42427af00b60d45c8e5cdfe2c7a30daf89828f4dd113dd971f3f08a7aec70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5LIG5U7YCUGT7V33JUVCILWMCH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Upgrade error detection to prediction with GRAND","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ken R. Duffy, Kevin Galligan, Muriel M\\'edard, Peihong Yuan","submitted_at":"2023-05-09T21:43:21Z","abstract_excerpt":"Guessing Random Additive Noise Decoding (GRAND) is a family of hard- and soft-detection error correction decoding algorithms that provide accurate decoding of any moderate redundancy code of any length. Here we establish a method through which any soft-input GRAND algorithm can provide soft output in the form of an accurate a posteriori estimate of the likelihood that a decoding is correct or, in the case of list decoding, the likelihood that the correct decoding is an element of the list. Implementing the method adds negligible additional computation and memory to the existing decoding proces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.05777","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.05777/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":"2026-07-05T06:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XhG+rPvNpgvWaIBFIR6hdkkQELQYtre4+hXPPCEsKTEQ/KSxvap5wFbl22gdR00hOGxJvMG/08R13MLuFVcuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T09:48:11.444999Z"},"content_sha256":"75c238e476b19bb0f904b799e48f548a74cfe880f246b6100da1db670651022b","schema_version":"1.0","event_id":"sha256:75c238e476b19bb0f904b799e48f548a74cfe880f246b6100da1db670651022b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LIG5U7YCUGT7V33JUVCILWMCH/bundle.json","state_url":"https://pith.science/pith/5LIG5U7YCUGT7V33JUVCILWMCH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LIG5U7YCUGT7V33JUVCILWMCH/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":"2026-07-10T09:48:11Z","links":{"resolver":"https://pith.science/pith/5LIG5U7YCUGT7V33JUVCILWMCH","bundle":"https://pith.science/pith/5LIG5U7YCUGT7V33JUVCILWMCH/bundle.json","state":"https://pith.science/pith/5LIG5U7YCUGT7V33JUVCILWMCH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LIG5U7YCUGT7V33JUVCILWMCH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5LIG5U7YCUGT7V33JUVCILWMCH","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":"a3ddd97eff6bdfa4d964132640bac4797e0b1adf7c4a6f49b5d1c60eeba1c158","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-09T21:43:21Z","title_canon_sha256":"5fa75f99e3fe3c3820916c5d0d8c8f1b47416017c54ba9c42eca6b84f934b95a"},"schema_version":"1.0","source":{"id":"2305.05777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.05777","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"2305.05777v1","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.05777","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"5LIG5U7YCUGT","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_16","alias_value":"5LIG5U7YCUGT7V33","created_at":"2026-07-05T06:39:53Z"},{"alias_kind":"pith_short_8","alias_value":"5LIG5U7Y","created_at":"2026-07-05T06:39:53Z"}],"graph_snapshots":[{"event_id":"sha256:75c238e476b19bb0f904b799e48f548a74cfe880f246b6100da1db670651022b","target":"graph","created_at":"2026-07-05T06:39:53Z","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/2305.05777/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Guessing Random Additive Noise Decoding (GRAND) is a family of hard- and soft-detection error correction decoding algorithms that provide accurate decoding of any moderate redundancy code of any length. Here we establish a method through which any soft-input GRAND algorithm can provide soft output in the form of an accurate a posteriori estimate of the likelihood that a decoding is correct or, in the case of list decoding, the likelihood that the correct decoding is an element of the list. Implementing the method adds negligible additional computation and memory to the existing decoding proces","authors_text":"Ken R. Duffy, Kevin Galligan, Muriel M\\'edard, Peihong Yuan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-09T21:43:21Z","title":"Upgrade error detection to prediction with GRAND"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.05777","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:d1c42427af00b60d45c8e5cdfe2c7a30daf89828f4dd113dd971f3f08a7aec70","target":"record","created_at":"2026-07-05T06:39:53Z","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":"a3ddd97eff6bdfa4d964132640bac4797e0b1adf7c4a6f49b5d1c60eeba1c158","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-05-09T21:43:21Z","title_canon_sha256":"5fa75f99e3fe3c3820916c5d0d8c8f1b47416017c54ba9c42eca6b84f934b95a"},"schema_version":"1.0","source":{"id":"2305.05777","kind":"arxiv","version":1}},"canonical_sha256":"ead06ed3f8150d3fd77b4d2a242ecc11f89de77a1173eb1b677c54b7510e97e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ead06ed3f8150d3fd77b4d2a242ecc11f89de77a1173eb1b677c54b7510e97e6","first_computed_at":"2026-07-05T06:39:53.547092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:53.547092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"csUng9zev7DHRhwblyQEPx3ylrI9oDWUcuqLqr8fMAiFkf2hLfE0id5miu5AgvSHpEwXNMgSMOIkpQ8U3G/8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:53.547573Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.05777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1c42427af00b60d45c8e5cdfe2c7a30daf89828f4dd113dd971f3f08a7aec70","sha256:75c238e476b19bb0f904b799e48f548a74cfe880f246b6100da1db670651022b"],"state_sha256":"8900c169dab736021749395a0374645f711638b0ff87765f8bbb0b0307bba855"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6LyNW+94W13M7teecqFgo79mWLAnt3at5sufuVNcohFah5qUxLllU5a4/P72rl2APoW/Bw2b8cdj1VnEpN59Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T09:48:11.446963Z","bundle_sha256":"91aee4bd1b9f6b8bc8433fe52b868372d7c0f7beb45c018dae6b76113454fd8f"}}