{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SBG3BR4HBVEVPKBB54GZB2EA4A","short_pith_number":"pith:SBG3BR4H","canonical_record":{"source":{"id":"1003.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-03T22:15:26Z","cross_cats_sorted":[],"title_canon_sha256":"f98e425e06c60a6be99753794478fecf0de85e2ffc69729d32ab1b4b12c8993c","abstract_canon_sha256":"aa94bc6818ec06cf6cd617d1bc33030b260f204fc51a949c312c2f543cd8aa1f"},"schema_version":"1.0"},"canonical_sha256":"904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356","source":{"kind":"arxiv","id":"1003.0923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0923","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0923v1","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0923","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"SBG3BR4HBVEV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SBG3BR4HBVEVPKBB","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SBG3BR4H","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SBG3BR4HBVEVPKBB54GZB2EA4A","target":"record","payload":{"canonical_record":{"source":{"id":"1003.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-03T22:15:26Z","cross_cats_sorted":[],"title_canon_sha256":"f98e425e06c60a6be99753794478fecf0de85e2ffc69729d32ab1b4b12c8993c","abstract_canon_sha256":"aa94bc6818ec06cf6cd617d1bc33030b260f204fc51a949c312c2f543cd8aa1f"},"schema_version":"1.0"},"canonical_sha256":"904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:18.274948Z","signature_b64":"v6AxSK8jEa9hLynou6AKuFX3EyGQUig11d8aqiHQmcNF1VJtdyDWDaw+uZdLs7VdMaYFbepKush1ng3hP/uWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356","last_reissued_at":"2026-05-18T04:39:18.274178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:18.274178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.0923","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":"2026-05-18T04:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FaiqCWBIlfyXZFoAhuLtLenlMkm5UTa4IiFVWex6BdRVibkGZCoekA1M/46nkY9+gVPblMryNzdEGI1nmpoUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:31:27.202930Z"},"content_sha256":"0306f3c8420882bc237ec6ceb7bda718d801ffce9dc1ae72cb4f2a1350603032","schema_version":"1.0","event_id":"sha256:0306f3c8420882bc237ec6ceb7bda718d801ffce9dc1ae72cb4f2a1350603032"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SBG3BR4HBVEVPKBB54GZB2EA4A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ben W. Reichardt, Gorjan Alagic, Robert Koenig, Stephen P. Jordan","submitted_at":"2010-03-03T22:15:26Z","abstract_excerpt":"The Turaev-Viro invariants are scalar topological invariants of compact, orientable 3-manifolds. We give a quantum algorithm for additively approximating Turaev-Viro invariants of a manifold presented by a Heegaard splitting. The algorithm is motivated by the relationship between topological quantum computers and (2+1)-D topological quantum field theories. Its accuracy is shown to be nontrivial, as the same algorithm, after efficient classical preprocessing, can solve any problem efficiently decidable by a quantum computer. Thus approximating certain Turaev-Viro invariants of manifolds present"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0923","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":"2026-05-18T04:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jYkJgz0vTDQpXuxOBeZ9pFvAvzDkab7nKwg0SivdIWO4EN6i6pP4idOB0h54eO5ZC7gbsTwqNW2evmPH/B8bDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:31:27.203273Z"},"content_sha256":"91d176323737bc25dd1c5c0d077649669bb0838bb3e70fb34b63ed5db89913b6","schema_version":"1.0","event_id":"sha256:91d176323737bc25dd1c5c0d077649669bb0838bb3e70fb34b63ed5db89913b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/bundle.json","state_url":"https://pith.science/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/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":"2026-06-02T16:31:27Z","links":{"resolver":"https://pith.science/pith/SBG3BR4HBVEVPKBB54GZB2EA4A","bundle":"https://pith.science/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/bundle.json","state":"https://pith.science/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SBG3BR4HBVEVPKBB54GZB2EA4A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SBG3BR4HBVEVPKBB54GZB2EA4A","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":"aa94bc6818ec06cf6cd617d1bc33030b260f204fc51a949c312c2f543cd8aa1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-03T22:15:26Z","title_canon_sha256":"f98e425e06c60a6be99753794478fecf0de85e2ffc69729d32ab1b4b12c8993c"},"schema_version":"1.0","source":{"id":"1003.0923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0923","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0923v1","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0923","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"SBG3BR4HBVEV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SBG3BR4HBVEVPKBB","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SBG3BR4H","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:91d176323737bc25dd1c5c0d077649669bb0838bb3e70fb34b63ed5db89913b6","target":"graph","created_at":"2026-05-18T04:39:18Z","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":"The Turaev-Viro invariants are scalar topological invariants of compact, orientable 3-manifolds. We give a quantum algorithm for additively approximating Turaev-Viro invariants of a manifold presented by a Heegaard splitting. The algorithm is motivated by the relationship between topological quantum computers and (2+1)-D topological quantum field theories. Its accuracy is shown to be nontrivial, as the same algorithm, after efficient classical preprocessing, can solve any problem efficiently decidable by a quantum computer. Thus approximating certain Turaev-Viro invariants of manifolds present","authors_text":"Ben W. Reichardt, Gorjan Alagic, Robert Koenig, Stephen P. Jordan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-03T22:15:26Z","title":"Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0923","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":"sha256:0306f3c8420882bc237ec6ceb7bda718d801ffce9dc1ae72cb4f2a1350603032","target":"record","created_at":"2026-05-18T04:39:18Z","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":"aa94bc6818ec06cf6cd617d1bc33030b260f204fc51a949c312c2f543cd8aa1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-03T22:15:26Z","title_canon_sha256":"f98e425e06c60a6be99753794478fecf0de85e2ffc69729d32ab1b4b12c8993c"},"schema_version":"1.0","source":{"id":"1003.0923","kind":"arxiv","version":1}},"canonical_sha256":"904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"904db0c7870d4957a821ef0d90e880e005408f6f3ac1220b8f02b450aca96356","first_computed_at":"2026-05-18T04:39:18.274178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:18.274178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6AxSK8jEa9hLynou6AKuFX3EyGQUig11d8aqiHQmcNF1VJtdyDWDaw+uZdLs7VdMaYFbepKush1ng3hP/uWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:18.274948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.0923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0306f3c8420882bc237ec6ceb7bda718d801ffce9dc1ae72cb4f2a1350603032","sha256:91d176323737bc25dd1c5c0d077649669bb0838bb3e70fb34b63ed5db89913b6"],"state_sha256":"52c0bed2eaaf8236d626cfeb86b0cc0dea1cb3d2101c887a0295f6a746e31542"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aka97jGQFOYT0Z8RqBCZk5K4HbU1X89XiCRe3sydcO4hySmq7WgvAxABBlVeRFAVbR5NIj8XvW5Efqy0F4whDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:31:27.205291Z","bundle_sha256":"f910850df99663a76c6145a571ec3ba315678a116e007ca376da4db63a0b1fd9"}}