{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:LXD5TZNV4KXWAU5TJA3TJPKD7W","short_pith_number":"pith:LXD5TZNV","canonical_record":{"source":{"id":"2310.10722","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-16T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"059ca50feb9eb0132a4a9ac98a36f6769c8ad15340f36c265c7084de6909a12e","abstract_canon_sha256":"1f56d3c4876677955605bcc675485e06a14b7ef7ed20f1e3200c78da3b3839dd"},"schema_version":"1.0"},"canonical_sha256":"5dc7d9e5b5e2af6053b3483734bd43fd88fafefdff745ece25660690aee8693d","source":{"kind":"arxiv","id":"2310.10722","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.10722","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.10722v2","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.10722","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"LXD5TZNV4KXW","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"LXD5TZNV4KXWAU5T","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"LXD5TZNV","created_at":"2026-07-05T09:17:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:LXD5TZNV4KXWAU5TJA3TJPKD7W","target":"record","payload":{"canonical_record":{"source":{"id":"2310.10722","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-16T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"059ca50feb9eb0132a4a9ac98a36f6769c8ad15340f36c265c7084de6909a12e","abstract_canon_sha256":"1f56d3c4876677955605bcc675485e06a14b7ef7ed20f1e3200c78da3b3839dd"},"schema_version":"1.0"},"canonical_sha256":"5dc7d9e5b5e2af6053b3483734bd43fd88fafefdff745ece25660690aee8693d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:17:34.277652Z","signature_b64":"gDNhxRz44y2oImI9nokUglXtiCwNIynYpQaJmqgFFENtJBMsbf3djHULvR1vPpQTgpdLp9O1tSaIBGXFJ+PsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc7d9e5b5e2af6053b3483734bd43fd88fafefdff745ece25660690aee8693d","last_reissued_at":"2026-07-05T09:17:34.277065Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:17:34.277065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.10722","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":"2026-07-05T09:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p65HuiKIL58xOxQ/mIVgm0SsibIY6I+WBj4+Ch1nx420fx6a43q6BOo+HryoLGSwjStueEXe2mYDfakyASQYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T20:06:00.475659Z"},"content_sha256":"da8391c84d69d323f63bde2bfec98e1c2676a81931d8259567222d119ca48559","schema_version":"1.0","event_id":"sha256:da8391c84d69d323f63bde2bfec98e1c2676a81931d8259567222d119ca48559"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:LXD5TZNV4KXWAU5TJA3TJPKD7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tensor Network Decoding Beyond 2D","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christophe Piveteau, Christopher T. Chubb, Joseph M. Renes","submitted_at":"2023-10-16T18:00:02Z","abstract_excerpt":"Decoding algorithms based on approximate tensor network contraction have proven tremendously successful in decoding 2D local quantum codes such as surface/toric codes and color codes, effectively achieving optimal decoding accuracy. In this work, we introduce several techniques to generalize tensor network decoding to higher dimensions so that it can be applied to 3D codes as well as 2D codes with noisy syndrome measurements (phenomenological noise or circuit-level noise). The three-dimensional case is significantly more challenging than 2D, as the involved approximate tensor contraction is dr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.10722","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/2310.10722/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":"2026-07-05T09:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9nA16HHM9KC99Td5UeWxuHXF4v4NRNMnrD31FcKfxs0nWQ1q+hY1Kw3Xuv0rEkrVkrGS78zidOih+cgRW4/UBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T20:06:00.476194Z"},"content_sha256":"97a2302f956f65058059c592c67c206dd54fe75dbeec25d2975b5f6406bb1122","schema_version":"1.0","event_id":"sha256:97a2302f956f65058059c592c67c206dd54fe75dbeec25d2975b5f6406bb1122"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/bundle.json","state_url":"https://pith.science/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/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":"2026-08-19T20:06:00Z","links":{"resolver":"https://pith.science/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W","bundle":"https://pith.science/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/bundle.json","state":"https://pith.science/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXD5TZNV4KXWAU5TJA3TJPKD7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LXD5TZNV4KXWAU5TJA3TJPKD7W","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":"1f56d3c4876677955605bcc675485e06a14b7ef7ed20f1e3200c78da3b3839dd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-16T18:00:02Z","title_canon_sha256":"059ca50feb9eb0132a4a9ac98a36f6769c8ad15340f36c265c7084de6909a12e"},"schema_version":"1.0","source":{"id":"2310.10722","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.10722","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.10722v2","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.10722","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"LXD5TZNV4KXW","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"LXD5TZNV4KXWAU5T","created_at":"2026-07-05T09:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"LXD5TZNV","created_at":"2026-07-05T09:17:34Z"}],"graph_snapshots":[{"event_id":"sha256:97a2302f956f65058059c592c67c206dd54fe75dbeec25d2975b5f6406bb1122","target":"graph","created_at":"2026-07-05T09:17:34Z","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/2310.10722/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Decoding algorithms based on approximate tensor network contraction have proven tremendously successful in decoding 2D local quantum codes such as surface/toric codes and color codes, effectively achieving optimal decoding accuracy. In this work, we introduce several techniques to generalize tensor network decoding to higher dimensions so that it can be applied to 3D codes as well as 2D codes with noisy syndrome measurements (phenomenological noise or circuit-level noise). The three-dimensional case is significantly more challenging than 2D, as the involved approximate tensor contraction is dr","authors_text":"Christophe Piveteau, Christopher T. Chubb, Joseph M. Renes","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-16T18:00:02Z","title":"Tensor Network Decoding Beyond 2D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.10722","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:da8391c84d69d323f63bde2bfec98e1c2676a81931d8259567222d119ca48559","target":"record","created_at":"2026-07-05T09:17:34Z","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":"1f56d3c4876677955605bcc675485e06a14b7ef7ed20f1e3200c78da3b3839dd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-16T18:00:02Z","title_canon_sha256":"059ca50feb9eb0132a4a9ac98a36f6769c8ad15340f36c265c7084de6909a12e"},"schema_version":"1.0","source":{"id":"2310.10722","kind":"arxiv","version":2}},"canonical_sha256":"5dc7d9e5b5e2af6053b3483734bd43fd88fafefdff745ece25660690aee8693d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc7d9e5b5e2af6053b3483734bd43fd88fafefdff745ece25660690aee8693d","first_computed_at":"2026-07-05T09:17:34.277065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:17:34.277065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gDNhxRz44y2oImI9nokUglXtiCwNIynYpQaJmqgFFENtJBMsbf3djHULvR1vPpQTgpdLp9O1tSaIBGXFJ+PsDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:17:34.277652Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.10722","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da8391c84d69d323f63bde2bfec98e1c2676a81931d8259567222d119ca48559","sha256:97a2302f956f65058059c592c67c206dd54fe75dbeec25d2975b5f6406bb1122"],"state_sha256":"5d02d78b017e66b8deea82ad298b7bf057a2b72bfc033e04f2ef5702bbb0796b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+LosGcuCKKS/Ei2dsMECCbsRuIaPEmmVrmeAz0U3c7rM/FYFvO/qFkRxsJOVwzkLwraOwDHX9NFnHhU5YNapCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T20:06:00.480591Z","bundle_sha256":"57283ff2e8b3a564cf134e79c0db42369286a3aa07b70bf531fb974320a34068"}}