{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XKLP2MRP4MKPA6E4ZAGOKTY3GK","short_pith_number":"pith:XKLP2MRP","canonical_record":{"source":{"id":"2404.09915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-15T16:40:24Z","cross_cats_sorted":[],"title_canon_sha256":"6286e3b6922eee748bf8119f508db4092880621167ae5137f0005707c2f5de24","abstract_canon_sha256":"ecb12596d2edb0ec9e984a9ae2ab3e2075f1045907fcf17a8cdfb55414851848"},"schema_version":"1.0"},"canonical_sha256":"ba96fd322fe314f0789cc80ce54f1b329b14573718f79b2fc0aa513dc8dd9559","source":{"kind":"arxiv","id":"2404.09915","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.09915","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2404.09915v1","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09915","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"XKLP2MRP4MKP","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"XKLP2MRP4MKPA6E4","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"XKLP2MRP","created_at":"2026-07-05T08:08:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XKLP2MRP4MKPA6E4ZAGOKTY3GK","target":"record","payload":{"canonical_record":{"source":{"id":"2404.09915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-15T16:40:24Z","cross_cats_sorted":[],"title_canon_sha256":"6286e3b6922eee748bf8119f508db4092880621167ae5137f0005707c2f5de24","abstract_canon_sha256":"ecb12596d2edb0ec9e984a9ae2ab3e2075f1045907fcf17a8cdfb55414851848"},"schema_version":"1.0"},"canonical_sha256":"ba96fd322fe314f0789cc80ce54f1b329b14573718f79b2fc0aa513dc8dd9559","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:08:13.122674Z","signature_b64":"TYp1fgLTaAIC5xUiMq4QbVIJTZ4TrVywxV6ejVOu+HfXR3vXwMiBthUeVoWa2i88aFO2FOGjU3NIQN8o9FdNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba96fd322fe314f0789cc80ce54f1b329b14573718f79b2fc0aa513dc8dd9559","last_reissued_at":"2026-07-05T08:08:13.122281Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:08:13.122281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.09915","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":"2026-07-05T08:08:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjXTOGk5C6hxzRg8W08iLpwbvHoucYbfxb+N7z6PgBtJ+qEd70fYWL8LoAoU5Sy3LcQnvLQkF9SlvizA7edECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T10:11:04.374002Z"},"content_sha256":"20ba25972ec297b5b6c213752c593a57f37e2c14d81d22cba2c47ff0400e1d07","schema_version":"1.0","event_id":"sha256:20ba25972ec297b5b6c213752c593a57f37e2c14d81d22cba2c47ff0400e1d07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XKLP2MRP4MKPA6E4ZAGOKTY3GK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Catalysing Completeness and Universality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aleks Kissinger, John van de Wetering, Neil J. Ross","submitted_at":"2024-04-15T16:40:24Z","abstract_excerpt":"A catalysis state is a quantum state that is used to make some desired operation possible or more efficient, while not being consumed in the process. Recent years have seen catalysis used in state-of-the-art protocols for implementing magic state distillation or small angle phase rotations. In this paper we will see that we can also use catalysis to prove that certain gate sets are computationally universal, and to extend completeness results of graphical languages to larger fragments. In particular, we give a simple proof of the computational universality of the CS+Hadamard gate set using the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09915","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/2404.09915/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":"2026-07-05T08:08:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gVnvJxeIp/H2sXJW4lCZQsZ9mRKH0c2arw9KuDKIc7UQoh/FfMMsN4VheFat1wkZOH+r6cI7sUx/222h8gaiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T10:11:04.374957Z"},"content_sha256":"ccccd67e34b75224ea48e54bdbfb3f1433f243d114f88bbaf372fbce79a43eac","schema_version":"1.0","event_id":"sha256:ccccd67e34b75224ea48e54bdbfb3f1433f243d114f88bbaf372fbce79a43eac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/bundle.json","state_url":"https://pith.science/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/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":"2026-08-18T10:11:04Z","links":{"resolver":"https://pith.science/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK","bundle":"https://pith.science/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/bundle.json","state":"https://pith.science/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKLP2MRP4MKPA6E4ZAGOKTY3GK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XKLP2MRP4MKPA6E4ZAGOKTY3GK","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":"ecb12596d2edb0ec9e984a9ae2ab3e2075f1045907fcf17a8cdfb55414851848","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-15T16:40:24Z","title_canon_sha256":"6286e3b6922eee748bf8119f508db4092880621167ae5137f0005707c2f5de24"},"schema_version":"1.0","source":{"id":"2404.09915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.09915","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2404.09915v1","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09915","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"XKLP2MRP4MKP","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"XKLP2MRP4MKPA6E4","created_at":"2026-07-05T08:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"XKLP2MRP","created_at":"2026-07-05T08:08:13Z"}],"graph_snapshots":[{"event_id":"sha256:ccccd67e34b75224ea48e54bdbfb3f1433f243d114f88bbaf372fbce79a43eac","target":"graph","created_at":"2026-07-05T08:08:13Z","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/2404.09915/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A catalysis state is a quantum state that is used to make some desired operation possible or more efficient, while not being consumed in the process. Recent years have seen catalysis used in state-of-the-art protocols for implementing magic state distillation or small angle phase rotations. In this paper we will see that we can also use catalysis to prove that certain gate sets are computationally universal, and to extend completeness results of graphical languages to larger fragments. In particular, we give a simple proof of the computational universality of the CS+Hadamard gate set using the","authors_text":"Aleks Kissinger, John van de Wetering, Neil J. Ross","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-15T16:40:24Z","title":"Catalysing Completeness and Universality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09915","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":"sha256:20ba25972ec297b5b6c213752c593a57f37e2c14d81d22cba2c47ff0400e1d07","target":"record","created_at":"2026-07-05T08:08:13Z","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":"ecb12596d2edb0ec9e984a9ae2ab3e2075f1045907fcf17a8cdfb55414851848","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-15T16:40:24Z","title_canon_sha256":"6286e3b6922eee748bf8119f508db4092880621167ae5137f0005707c2f5de24"},"schema_version":"1.0","source":{"id":"2404.09915","kind":"arxiv","version":1}},"canonical_sha256":"ba96fd322fe314f0789cc80ce54f1b329b14573718f79b2fc0aa513dc8dd9559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba96fd322fe314f0789cc80ce54f1b329b14573718f79b2fc0aa513dc8dd9559","first_computed_at":"2026-07-05T08:08:13.122281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:08:13.122281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYp1fgLTaAIC5xUiMq4QbVIJTZ4TrVywxV6ejVOu+HfXR3vXwMiBthUeVoWa2i88aFO2FOGjU3NIQN8o9FdNAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:08:13.122674Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.09915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20ba25972ec297b5b6c213752c593a57f37e2c14d81d22cba2c47ff0400e1d07","sha256:ccccd67e34b75224ea48e54bdbfb3f1433f243d114f88bbaf372fbce79a43eac"],"state_sha256":"032f008b51ae78e43dea639ba572f6d0d5c79aa55269084e67cf5658752dca42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rwolpDGdZoCPMrLzdKG+GXoOn6NGpLzrsI0cLzuK/S8n1x/wew0j8oqnryjKfR/5WyWUN1CYlkiDAwnmhQJrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T10:11:04.378827Z","bundle_sha256":"e92b5c065aec7ca223985daf089880cd8ff855fb008d24e891251d5a17e7c0bf"}}