{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:V76W5JA2CLRTU5XXPWEZ52PXSI","short_pith_number":"pith:V76W5JA2","canonical_record":{"source":{"id":"1101.4722","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-25T05:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"45e0c75d5308ba9db86e7b9da5c9d846dd033a13562296308d84d85c44c092c0","abstract_canon_sha256":"6e8b79d6c5884b8031963738ec751cac8b4c96fa0138b4ba1210a7c6872fe3bb"},"schema_version":"1.0"},"canonical_sha256":"affd6ea41a12e33a76f77d899ee9f792263801b0dd4a529876d7968b62ad4d4c","source":{"kind":"arxiv","id":"1101.4722","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4722","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4722v3","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4722","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"V76W5JA2CLRT","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_16","alias_value":"V76W5JA2CLRTU5XX","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_8","alias_value":"V76W5JA2","created_at":"2026-07-05T00:32:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:V76W5JA2CLRTU5XXPWEZ52PXSI","target":"record","payload":{"canonical_record":{"source":{"id":"1101.4722","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-25T05:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"45e0c75d5308ba9db86e7b9da5c9d846dd033a13562296308d84d85c44c092c0","abstract_canon_sha256":"6e8b79d6c5884b8031963738ec751cac8b4c96fa0138b4ba1210a7c6872fe3bb"},"schema_version":"1.0"},"canonical_sha256":"affd6ea41a12e33a76f77d899ee9f792263801b0dd4a529876d7968b62ad4d4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:32:45.614057Z","signature_b64":"bu6LhCNssQGhRMlQFZ5PaWpIAIPPsRep+M1+bHNBjZfUE1zjymiDDQ7YH7dmmCSZQ/c/Dsxf59nnz+H37/1RBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"affd6ea41a12e33a76f77d899ee9f792263801b0dd4a529876d7968b62ad4d4c","last_reissued_at":"2026-07-05T00:32:45.613712Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:32:45.613712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.4722","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":"2026-07-05T00:32:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"trAnBUM1JzmAYHJkBCyK6BGcPkLEjtIYVHaliNACRGLV7tUFgsR40EdUcHB5u/WHLvi7f0y3H22avbuYCAD9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T19:10:15.593815Z"},"content_sha256":"6d2e642f48ec044a89451475835ce6c65c0b5c8e7f7307a663f793b0361560a6","schema_version":"1.0","event_id":"sha256:6d2e642f48ec044a89451475835ce6c65c0b5c8e7f7307a663f793b0361560a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:V76W5JA2CLRTU5XXPWEZ52PXSI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum picturalism for topological cluster-state computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominic Horsman","submitted_at":"2011-01-25T05:17:44Z","abstract_excerpt":"Topological quantum computing is a way of allowing precise quantum computations to run on noisy and imperfect hardware. One implementation uses surface codes created by forming defects in a highly-entangled cluster state. Such a method of computing is a leading candidate for large-scale quantum computing. However, there has been a lack of sufficiently powerful high-level languages to describe computing in this form without resorting to single-qubit operations, which quickly become prohibitively complex as the system size increases. In this paper we apply the category-theoretic work of Abramsky"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4722","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/1101.4722/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":"2026-07-05T00:32:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OyBFUk1D2RSB7s2wV3989Re8YSsuKOJAW2uQA3n9yPQhl4fErEIhjgNz4ue2R/Q0d9mHH1losYs7kw7575WoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T19:10:15.594963Z"},"content_sha256":"60f5d742583a3df9959ec16c67bf11b846a4f276a24e1235dcd25a6f197afc19","schema_version":"1.0","event_id":"sha256:60f5d742583a3df9959ec16c67bf11b846a4f276a24e1235dcd25a6f197afc19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/bundle.json","state_url":"https://pith.science/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/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":"2026-08-12T19:10:15Z","links":{"resolver":"https://pith.science/pith/V76W5JA2CLRTU5XXPWEZ52PXSI","bundle":"https://pith.science/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/bundle.json","state":"https://pith.science/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V76W5JA2CLRTU5XXPWEZ52PXSI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V76W5JA2CLRTU5XXPWEZ52PXSI","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":"6e8b79d6c5884b8031963738ec751cac8b4c96fa0138b4ba1210a7c6872fe3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-25T05:17:44Z","title_canon_sha256":"45e0c75d5308ba9db86e7b9da5c9d846dd033a13562296308d84d85c44c092c0"},"schema_version":"1.0","source":{"id":"1101.4722","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4722","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4722v3","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4722","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"V76W5JA2CLRT","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_16","alias_value":"V76W5JA2CLRTU5XX","created_at":"2026-07-05T00:32:45Z"},{"alias_kind":"pith_short_8","alias_value":"V76W5JA2","created_at":"2026-07-05T00:32:45Z"}],"graph_snapshots":[{"event_id":"sha256:60f5d742583a3df9959ec16c67bf11b846a4f276a24e1235dcd25a6f197afc19","target":"graph","created_at":"2026-07-05T00:32:45Z","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/1101.4722/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological quantum computing is a way of allowing precise quantum computations to run on noisy and imperfect hardware. One implementation uses surface codes created by forming defects in a highly-entangled cluster state. Such a method of computing is a leading candidate for large-scale quantum computing. However, there has been a lack of sufficiently powerful high-level languages to describe computing in this form without resorting to single-qubit operations, which quickly become prohibitively complex as the system size increases. In this paper we apply the category-theoretic work of Abramsky","authors_text":"Dominic Horsman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-25T05:17:44Z","title":"Quantum picturalism for topological cluster-state computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4722","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":"sha256:6d2e642f48ec044a89451475835ce6c65c0b5c8e7f7307a663f793b0361560a6","target":"record","created_at":"2026-07-05T00:32:45Z","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":"6e8b79d6c5884b8031963738ec751cac8b4c96fa0138b4ba1210a7c6872fe3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-25T05:17:44Z","title_canon_sha256":"45e0c75d5308ba9db86e7b9da5c9d846dd033a13562296308d84d85c44c092c0"},"schema_version":"1.0","source":{"id":"1101.4722","kind":"arxiv","version":3}},"canonical_sha256":"affd6ea41a12e33a76f77d899ee9f792263801b0dd4a529876d7968b62ad4d4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"affd6ea41a12e33a76f77d899ee9f792263801b0dd4a529876d7968b62ad4d4c","first_computed_at":"2026-07-05T00:32:45.613712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:32:45.613712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bu6LhCNssQGhRMlQFZ5PaWpIAIPPsRep+M1+bHNBjZfUE1zjymiDDQ7YH7dmmCSZQ/c/Dsxf59nnz+H37/1RBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:32:45.614057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4722","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d2e642f48ec044a89451475835ce6c65c0b5c8e7f7307a663f793b0361560a6","sha256:60f5d742583a3df9959ec16c67bf11b846a4f276a24e1235dcd25a6f197afc19"],"state_sha256":"8888ef47a8c733f31a9573d6e7f6d60ffa8d885408bc745a1d9c276904a0c358"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/JgZ/nJQXob0MzP5hPOwkUt/g1vOhrP7IaInQSB3UXlb7409WXxID45mAviIch7/UeeAZk64yVJvKy+/seSNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T19:10:15.599943Z","bundle_sha256":"2d92f297303c96b391cfcea97cc00e119cf523606bf9cfd3ded500e59db62c0d"}}