{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QCWOPHJ6W5TL6KBXOFT3MY54ZL","short_pith_number":"pith:QCWOPHJ6","canonical_record":{"source":{"id":"1307.7171","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-26T21:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"7853e8e7e0508f9552b4f2c673a71b60ed7face239f3ec3ea20ea6bee016d1aa","abstract_canon_sha256":"14672ef80f1e4a6cb4274abffc840c524bd703babf7e403ee8079e9c6e0bf9fa"},"schema_version":"1.0"},"canonical_sha256":"80ace79d3eb766bf28377167b663bccae6ee82bb9caa8781ee337592232baedd","source":{"kind":"arxiv","id":"1307.7171","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7171","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7171v1","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7171","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"QCWOPHJ6W5TL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QCWOPHJ6W5TL6KBX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QCWOPHJ6","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QCWOPHJ6W5TL6KBXOFT3MY54ZL","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7171","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-26T21:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"7853e8e7e0508f9552b4f2c673a71b60ed7face239f3ec3ea20ea6bee016d1aa","abstract_canon_sha256":"14672ef80f1e4a6cb4274abffc840c524bd703babf7e403ee8079e9c6e0bf9fa"},"schema_version":"1.0"},"canonical_sha256":"80ace79d3eb766bf28377167b663bccae6ee82bb9caa8781ee337592232baedd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:33.939264Z","signature_b64":"OE5kskiVmjBC65X4SS5d3ENJpJIrTATv9yTDLoDpl1vFbamR0UpAfkdTee4fHGcBNDGLr/O/ZTxqWeyZuHPNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80ace79d3eb766bf28377167b663bccae6ee82bb9caa8781ee337592232baedd","last_reissued_at":"2026-05-18T01:48:33.938717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:33.938717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7171","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":"2026-05-18T01:48:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWqJsEkEV7OLeDES/JDLlT7iVVLLBIYt//dwYLvh3zDkA6ZRdJmT6DBgruIFO5S5hMvXpd21PZlTd7Jr1HnrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:24:36.264183Z"},"content_sha256":"8a4b4b7290a6525ee8851b341a19378f00b00c755330d32704cff88018029f4a","schema_version":"1.0","event_id":"sha256:8a4b4b7290a6525ee8851b341a19378f00b00c755330d32704cff88018029f4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QCWOPHJ6W5TL6KBXOFT3MY54ZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Resource Theory of Stabilizer Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel Gottesman, Joseph Emerson, Seyed Ali Hamed Mousavian, Victor Veitch","submitted_at":"2013-07-26T21:24:59Z","abstract_excerpt":"Recent results on the non-universality of fault-tolerant gate sets underline the critical role of resource states, such as magic states, to power scalable, universal quantum computation. Here we develop a resource theory, analogous to the theory of entanglement, for resources for stabilizer codes. We introduce two quantitative measures - monotones - for the amount of non-stabilizer resource. As an application we give absolute bounds on the efficiency of magic state distillation. One of these monotones is the sum of the negative entries of the discrete Wigner representation of a quantum state, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7171","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":""},"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":"2026-05-18T01:48:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5jVt7ogh9fcKF09eFJ16/09bcIFsW36eIYCx8H+n+wyN4U/BGcGHLd6DxsujqYVB1Xn3s2/QhxAsUwIw7saDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:24:36.265026Z"},"content_sha256":"e2ed6319f6470b378ab39792eb38c0d819e6f62af1cb0cf2f9b3fe99cd9b08e8","schema_version":"1.0","event_id":"sha256:e2ed6319f6470b378ab39792eb38c0d819e6f62af1cb0cf2f9b3fe99cd9b08e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/bundle.json","state_url":"https://pith.science/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/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":"2026-05-31T20:24:36Z","links":{"resolver":"https://pith.science/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL","bundle":"https://pith.science/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/bundle.json","state":"https://pith.science/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCWOPHJ6W5TL6KBXOFT3MY54ZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QCWOPHJ6W5TL6KBXOFT3MY54ZL","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":"14672ef80f1e4a6cb4274abffc840c524bd703babf7e403ee8079e9c6e0bf9fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-26T21:24:59Z","title_canon_sha256":"7853e8e7e0508f9552b4f2c673a71b60ed7face239f3ec3ea20ea6bee016d1aa"},"schema_version":"1.0","source":{"id":"1307.7171","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7171","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7171v1","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7171","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"QCWOPHJ6W5TL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QCWOPHJ6W5TL6KBX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QCWOPHJ6","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:e2ed6319f6470b378ab39792eb38c0d819e6f62af1cb0cf2f9b3fe99cd9b08e8","target":"graph","created_at":"2026-05-18T01:48:33Z","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"},"paper":{"abstract_excerpt":"Recent results on the non-universality of fault-tolerant gate sets underline the critical role of resource states, such as magic states, to power scalable, universal quantum computation. Here we develop a resource theory, analogous to the theory of entanglement, for resources for stabilizer codes. We introduce two quantitative measures - monotones - for the amount of non-stabilizer resource. As an application we give absolute bounds on the efficiency of magic state distillation. One of these monotones is the sum of the negative entries of the discrete Wigner representation of a quantum state, ","authors_text":"Daniel Gottesman, Joseph Emerson, Seyed Ali Hamed Mousavian, Victor Veitch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-26T21:24:59Z","title":"The Resource Theory of Stabilizer Computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7171","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":"sha256:8a4b4b7290a6525ee8851b341a19378f00b00c755330d32704cff88018029f4a","target":"record","created_at":"2026-05-18T01:48:33Z","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":"14672ef80f1e4a6cb4274abffc840c524bd703babf7e403ee8079e9c6e0bf9fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-26T21:24:59Z","title_canon_sha256":"7853e8e7e0508f9552b4f2c673a71b60ed7face239f3ec3ea20ea6bee016d1aa"},"schema_version":"1.0","source":{"id":"1307.7171","kind":"arxiv","version":1}},"canonical_sha256":"80ace79d3eb766bf28377167b663bccae6ee82bb9caa8781ee337592232baedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80ace79d3eb766bf28377167b663bccae6ee82bb9caa8781ee337592232baedd","first_computed_at":"2026-05-18T01:48:33.938717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:33.938717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OE5kskiVmjBC65X4SS5d3ENJpJIrTATv9yTDLoDpl1vFbamR0UpAfkdTee4fHGcBNDGLr/O/ZTxqWeyZuHPNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:33.939264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7171","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a4b4b7290a6525ee8851b341a19378f00b00c755330d32704cff88018029f4a","sha256:e2ed6319f6470b378ab39792eb38c0d819e6f62af1cb0cf2f9b3fe99cd9b08e8"],"state_sha256":"49406a281c2564bb7030a12e9b5d9b3280d95ba03d07714f33bb3f887a853e6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dwl/xwReFeR/Kypy8a2KVtP75oht7NXzUeelwjxZfQbQXOgculTabFUctXipQBXtOKdp0Z3XfCpFmCffWXNKBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:24:36.269506Z","bundle_sha256":"0b91b20ad4a2ebd28c7d15cb12c747654cd05e2fbb69425f59b56cdc4d8d9b11"}}