{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FXYI3KGCGYIYHT3XLYQP3JCHGF","short_pith_number":"pith:FXYI3KGC","canonical_record":{"source":{"id":"1604.05796","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-20T02:52:25Z","cross_cats_sorted":["cs.CR","math.AC","math.AG"],"title_canon_sha256":"f2a8a253050d0335b708f22ac44d6da1e05cf7650bbf077e3469a0dd88f6626f","abstract_canon_sha256":"b9f65efe05dd17499f3d10ec40f08214eb695eab4ffebacd0f9ac156b887c7ff"},"schema_version":"1.0"},"canonical_sha256":"2df08da8c2361183cf775e20fda447316f59264423d396e07533e10f4aaf6e1c","source":{"kind":"arxiv","id":"1604.05796","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05796","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05796v2","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05796","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"pith_short_12","alias_value":"FXYI3KGCGYIY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FXYI3KGCGYIYHT3X","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FXYI3KGC","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FXYI3KGCGYIYHT3XLYQP3JCHGF","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05796","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-20T02:52:25Z","cross_cats_sorted":["cs.CR","math.AC","math.AG"],"title_canon_sha256":"f2a8a253050d0335b708f22ac44d6da1e05cf7650bbf077e3469a0dd88f6626f","abstract_canon_sha256":"b9f65efe05dd17499f3d10ec40f08214eb695eab4ffebacd0f9ac156b887c7ff"},"schema_version":"1.0"},"canonical_sha256":"2df08da8c2361183cf775e20fda447316f59264423d396e07533e10f4aaf6e1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:28.345631Z","signature_b64":"KyfMh4Dgpn0le89LaJURc5dUnHDDJFlbQY3Ylei7ZpQEiVUSWWoo8+YeV8jyr12mwYEGqLQqHlBJchP2FbLhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2df08da8c2361183cf775e20fda447316f59264423d396e07533e10f4aaf6e1c","last_reissued_at":"2026-05-18T00:48:28.344995Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:28.344995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05796","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":"2026-05-18T00:48:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWupxu0m87hc7OpYYN9aJvoBsCAD3G4aXGJg9JYD4VwI4vy5Qd5lfEi9a+yaXarkYAxSahmr4TfVVHpUBmF7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:10:53.400229Z"},"content_sha256":"a6fe2380b16e7d547a60e585343108ed7f8265967aeeb4b427934b06a276e64a","schema_version":"1.0","event_id":"sha256:a6fe2380b16e7d547a60e585343108ed7f8265967aeeb4b427934b06a276e64a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FXYI3KGCGYIYHT3XLYQP3JCHGF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Prime factorization using quantum annealing and computational algebraic geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR","math.AC","math.AG"],"primary_cat":"quant-ph","authors_text":"Hedayat Alghassi, Raouf Dridi","submitted_at":"2016-04-20T02:52:25Z","abstract_excerpt":"We investigate prime factorization from two perspectives: quantum annealing and computational algebraic geometry, specifically Gr\\\"obner bases. We present a novel scalable algorithm which combines the two approaches and leads to the factorization of all bi-primes up to just over $200 \\, 000$, the largest number factored to date using a quantum processor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05796","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":""},"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":"2026-05-18T00:48:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AK0L8X5BLOB2nt1hRuyVGIMONCnL8SjKvHeV+ZGsI9kGsI4/VXp6eiNaSvdQWRcHuKMu/ppTJMQsHrmijODHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:10:53.400603Z"},"content_sha256":"8231775bc1175a887b28b1bab485a36244ee2e3c8b4c3fedc48587c6d910825f","schema_version":"1.0","event_id":"sha256:8231775bc1175a887b28b1bab485a36244ee2e3c8b4c3fedc48587c6d910825f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/bundle.json","state_url":"https://pith.science/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/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":"2026-06-23T09:10:53Z","links":{"resolver":"https://pith.science/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF","bundle":"https://pith.science/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/bundle.json","state":"https://pith.science/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXYI3KGCGYIYHT3XLYQP3JCHGF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FXYI3KGCGYIYHT3XLYQP3JCHGF","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":"b9f65efe05dd17499f3d10ec40f08214eb695eab4ffebacd0f9ac156b887c7ff","cross_cats_sorted":["cs.CR","math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-20T02:52:25Z","title_canon_sha256":"f2a8a253050d0335b708f22ac44d6da1e05cf7650bbf077e3469a0dd88f6626f"},"schema_version":"1.0","source":{"id":"1604.05796","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05796","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05796v2","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05796","created_at":"2026-05-18T00:48:28Z"},{"alias_kind":"pith_short_12","alias_value":"FXYI3KGCGYIY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FXYI3KGCGYIYHT3X","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FXYI3KGC","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:8231775bc1175a887b28b1bab485a36244ee2e3c8b4c3fedc48587c6d910825f","target":"graph","created_at":"2026-05-18T00:48:28Z","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":"We investigate prime factorization from two perspectives: quantum annealing and computational algebraic geometry, specifically Gr\\\"obner bases. We present a novel scalable algorithm which combines the two approaches and leads to the factorization of all bi-primes up to just over $200 \\, 000$, the largest number factored to date using a quantum processor.","authors_text":"Hedayat Alghassi, Raouf Dridi","cross_cats":["cs.CR","math.AC","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-20T02:52:25Z","title":"Prime factorization using quantum annealing and computational algebraic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05796","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:a6fe2380b16e7d547a60e585343108ed7f8265967aeeb4b427934b06a276e64a","target":"record","created_at":"2026-05-18T00:48:28Z","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":"b9f65efe05dd17499f3d10ec40f08214eb695eab4ffebacd0f9ac156b887c7ff","cross_cats_sorted":["cs.CR","math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-20T02:52:25Z","title_canon_sha256":"f2a8a253050d0335b708f22ac44d6da1e05cf7650bbf077e3469a0dd88f6626f"},"schema_version":"1.0","source":{"id":"1604.05796","kind":"arxiv","version":2}},"canonical_sha256":"2df08da8c2361183cf775e20fda447316f59264423d396e07533e10f4aaf6e1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2df08da8c2361183cf775e20fda447316f59264423d396e07533e10f4aaf6e1c","first_computed_at":"2026-05-18T00:48:28.344995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:28.344995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KyfMh4Dgpn0le89LaJURc5dUnHDDJFlbQY3Ylei7ZpQEiVUSWWoo8+YeV8jyr12mwYEGqLQqHlBJchP2FbLhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:28.345631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05796","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6fe2380b16e7d547a60e585343108ed7f8265967aeeb4b427934b06a276e64a","sha256:8231775bc1175a887b28b1bab485a36244ee2e3c8b4c3fedc48587c6d910825f"],"state_sha256":"8d9e8bf530045eb19584566053191004eaaf1eda88103d833e33ceddb0da2e86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Z1dQ8SRne6lICPYXzVw7jvFdUlvwJX9frWc9bRg0l0+X6xFoHen1YoyOsAz3eR395L8DolrBsX+nGxZlYWCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T09:10:53.402662Z","bundle_sha256":"736a1542799c92fc6871441cef288d561654399c6fc73ab2b8e0af023edfd4f3"}}