{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HNC7CQOG5IZHR43KC6UMHONLD7","short_pith_number":"pith:HNC7CQOG","canonical_record":{"source":{"id":"1311.3297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T21:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","cs.CC"],"title_canon_sha256":"dbc7f8967a11b39ca9c78e83708fcd72269463345807cf66a4f47db3c9f2f4cf","abstract_canon_sha256":"23aa6fd882e276c9bc4c2f8be313906c28843a5da9c6bf3de3a707520f05f292"},"schema_version":"1.0"},"canonical_sha256":"3b45f141c6ea3278f36a17a8c3b9ab1fe9f295252580465fb35f17f810a69b77","source":{"kind":"arxiv","id":"1311.3297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3297","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3297v1","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3297","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"pith_short_12","alias_value":"HNC7CQOG5IZH","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HNC7CQOG5IZHR43K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HNC7CQOG","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HNC7CQOG5IZHR43KC6UMHONLD7","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T21:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","cs.CC"],"title_canon_sha256":"dbc7f8967a11b39ca9c78e83708fcd72269463345807cf66a4f47db3c9f2f4cf","abstract_canon_sha256":"23aa6fd882e276c9bc4c2f8be313906c28843a5da9c6bf3de3a707520f05f292"},"schema_version":"1.0"},"canonical_sha256":"3b45f141c6ea3278f36a17a8c3b9ab1fe9f295252580465fb35f17f810a69b77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:00.978892Z","signature_b64":"fVdx4IhlGOQU1rZGgYwG43/XWobyov511jXBd8dZUyNnapfuzRzMhYRs1DSCXtObTDA4nT8xCT3boesPJmF7AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b45f141c6ea3278f36a17a8c3b9ab1fe9f295252580465fb35f17f810a69b77","last_reissued_at":"2026-05-18T02:48:00.978420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:00.978420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3297","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":"2026-05-18T02:48:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yvrV4GNRqeR+vFGqi/wVbH8qlD/BwEJOfkECY9A1Vz1BL++RPMdPtDl8Z65xEoJQgkrDNVG6HaBFxa6TFiwFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:33:29.264489Z"},"content_sha256":"691f17cf978d3160e2a706d2cc9e993b5b4259bab3f20dd40c46317c81fd9bea","schema_version":"1.0","event_id":"sha256:691f17cf978d3160e2a706d2cc9e993b5b4259bab3f20dd40c46317c81fd9bea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HNC7CQOG5IZHR43KC6UMHONLD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Bose-Hubbard model is QMA-complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.CC"],"primary_cat":"quant-ph","authors_text":"Andrew M. Childs, David Gosset, Zak Webb","submitted_at":"2013-11-13T21:00:01Z","abstract_excerpt":"The Bose-Hubbard model is a system of interacting bosons that live on the vertices of a graph. The particles can move between adjacent vertices and experience a repulsive on-site interaction. The Hamiltonian is determined by a choice of graph that specifies the geometry in which the particles move and interact. We prove that approximating the ground energy of the Bose-Hubbard model on a graph at fixed particle number is QMA-complete. In our QMA-hardness proof, we encode the history of an n-qubit computation in the subspace with at most one particle per site (i.e., hard-core bosons). This featu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3297","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":"2026-05-18T02:48:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UC6qoTsEPDzBX/oWbe4cGUlHMnu3C+77axjkbBSTQm++RVsKfzc+WUGD2wk3gx1QLrABnCTGP07UPQg3DmP2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:33:29.265038Z"},"content_sha256":"748e35643d4fb8f694d7207947ad2818d5114ee84c38689c5c2dce2967456779","schema_version":"1.0","event_id":"sha256:748e35643d4fb8f694d7207947ad2818d5114ee84c38689c5c2dce2967456779"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNC7CQOG5IZHR43KC6UMHONLD7/bundle.json","state_url":"https://pith.science/pith/HNC7CQOG5IZHR43KC6UMHONLD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNC7CQOG5IZHR43KC6UMHONLD7/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":"2026-06-07T18:33:29Z","links":{"resolver":"https://pith.science/pith/HNC7CQOG5IZHR43KC6UMHONLD7","bundle":"https://pith.science/pith/HNC7CQOG5IZHR43KC6UMHONLD7/bundle.json","state":"https://pith.science/pith/HNC7CQOG5IZHR43KC6UMHONLD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNC7CQOG5IZHR43KC6UMHONLD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HNC7CQOG5IZHR43KC6UMHONLD7","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":"23aa6fd882e276c9bc4c2f8be313906c28843a5da9c6bf3de3a707520f05f292","cross_cats_sorted":["cond-mat.stat-mech","cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T21:00:01Z","title_canon_sha256":"dbc7f8967a11b39ca9c78e83708fcd72269463345807cf66a4f47db3c9f2f4cf"},"schema_version":"1.0","source":{"id":"1311.3297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3297","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3297v1","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3297","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"pith_short_12","alias_value":"HNC7CQOG5IZH","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HNC7CQOG5IZHR43K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HNC7CQOG","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:748e35643d4fb8f694d7207947ad2818d5114ee84c38689c5c2dce2967456779","target":"graph","created_at":"2026-05-18T02:48:00Z","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 Bose-Hubbard model is a system of interacting bosons that live on the vertices of a graph. The particles can move between adjacent vertices and experience a repulsive on-site interaction. The Hamiltonian is determined by a choice of graph that specifies the geometry in which the particles move and interact. We prove that approximating the ground energy of the Bose-Hubbard model on a graph at fixed particle number is QMA-complete. In our QMA-hardness proof, we encode the history of an n-qubit computation in the subspace with at most one particle per site (i.e., hard-core bosons). This featu","authors_text":"Andrew M. Childs, David Gosset, Zak Webb","cross_cats":["cond-mat.stat-mech","cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T21:00:01Z","title":"The Bose-Hubbard model is QMA-complete"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3297","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":"sha256:691f17cf978d3160e2a706d2cc9e993b5b4259bab3f20dd40c46317c81fd9bea","target":"record","created_at":"2026-05-18T02:48:00Z","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":"23aa6fd882e276c9bc4c2f8be313906c28843a5da9c6bf3de3a707520f05f292","cross_cats_sorted":["cond-mat.stat-mech","cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T21:00:01Z","title_canon_sha256":"dbc7f8967a11b39ca9c78e83708fcd72269463345807cf66a4f47db3c9f2f4cf"},"schema_version":"1.0","source":{"id":"1311.3297","kind":"arxiv","version":1}},"canonical_sha256":"3b45f141c6ea3278f36a17a8c3b9ab1fe9f295252580465fb35f17f810a69b77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b45f141c6ea3278f36a17a8c3b9ab1fe9f295252580465fb35f17f810a69b77","first_computed_at":"2026-05-18T02:48:00.978420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:00.978420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fVdx4IhlGOQU1rZGgYwG43/XWobyov511jXBd8dZUyNnapfuzRzMhYRs1DSCXtObTDA4nT8xCT3boesPJmF7AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:00.978892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:691f17cf978d3160e2a706d2cc9e993b5b4259bab3f20dd40c46317c81fd9bea","sha256:748e35643d4fb8f694d7207947ad2818d5114ee84c38689c5c2dce2967456779"],"state_sha256":"57affc51425b6af47246f9bf8c97d670b4454c1016e7b17160f6157222bf3fc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q40zcDj8xL+1tEAwB2dQXH2w0w8EaHr93WXHvMEXAK+uX/k7dE1h3GQYFvv0aduYFtPt2nWZBylo+18Z0kI4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:33:29.268359Z","bundle_sha256":"d2665f0387ba3c413b671ad05cbee04477f640d14f0becf6077640fabe4efd48"}}