{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CRWB2SXTI235GNPS75AXUJXQMD","short_pith_number":"pith:CRWB2SXT","canonical_record":{"source":{"id":"1509.05001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-16T19:06:18Z","cross_cats_sorted":["cs.ET","quant-ph"],"title_canon_sha256":"1363cdea1ae8ae43de72b03bf9e4e633e00168f9da09ef6866d1ff408c3bf257","abstract_canon_sha256":"aec65098dd6d5173da536dd40ddb5ff24dea2875245516dc04923c534e0a2187"},"schema_version":"1.0"},"canonical_sha256":"146c1d4af346b7d335f2ff417a26f060fbfc31232d9d03f54ee384d742b568a1","source":{"kind":"arxiv","id":"1509.05001","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05001","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05001v2","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05001","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"CRWB2SXTI235","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CRWB2SXTI235GNPS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CRWB2SXT","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CRWB2SXTI235GNPS75AXUJXQMD","target":"record","payload":{"canonical_record":{"source":{"id":"1509.05001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-16T19:06:18Z","cross_cats_sorted":["cs.ET","quant-ph"],"title_canon_sha256":"1363cdea1ae8ae43de72b03bf9e4e633e00168f9da09ef6866d1ff408c3bf257","abstract_canon_sha256":"aec65098dd6d5173da536dd40ddb5ff24dea2875245516dc04923c534e0a2187"},"schema_version":"1.0"},"canonical_sha256":"146c1d4af346b7d335f2ff417a26f060fbfc31232d9d03f54ee384d742b568a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:57.412218Z","signature_b64":"ofDSSb19cUtkVYR+yHnxXa5OmG0VdsKISs+NpR39ukPPeea4T5LU4v0RFI+zdTz9vS4mRT+d/mpkdqjpvcWlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"146c1d4af346b7d335f2ff417a26f060fbfc31232d9d03f54ee384d742b568a1","last_reissued_at":"2026-05-18T00:23:57.411332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:57.411332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.05001","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":"2026-05-18T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SuN04xN0jIWfH4qnvuHJ6nkNAtt/SI82/qwWU6JwYd7IYlHCJBYtjfbLZqUNvFy2ctxOPM9IqXX4r+aFr/J+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:13:42.005092Z"},"content_sha256":"c40922abcd9e9d4241c2efd780f5dd672ef88a9510a4589743bf9d853a44b133","schema_version":"1.0","event_id":"sha256:c40922abcd9e9d4241c2efd780f5dd672ef88a9510a4589743bf9d853a44b133"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CRWB2SXTI235GNPS75AXUJXQMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving constrained quadratic binary problems via quantum adiabatic evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET","quant-ph"],"primary_cat":"math.OC","authors_text":"Brad Woods, Ehsan Iranmanesh, Pooya Ronagh","submitted_at":"2015-09-16T19:06:18Z","abstract_excerpt":"Quantum adiabatic evolution is perceived as useful for binary quadratic programming problems that are a priori unconstrained. For constrained problems, it is a common practice to relax linear equality constraints as penalty terms in the objective function. However, there has not yet been proposed a method for efficiently dealing with inequality constraints using the quantum adiabatic approach. In this paper, we give a method for solving the Lagrangian dual of a binary quadratic programming (BQP) problem in the presence of inequality constraints and employ this procedure within a branch-and-bou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05001","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":"2026-05-18T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5Ba9PyBqTOsc9gT0yYsi7NmNy275R8fyLlDxEFCs+3MyqXy2uTlX92hMhPC5Mn4/PAlgODWN07uMG4XMl5FBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:13:42.005501Z"},"content_sha256":"6fda53c1b578e764a7c729f4189b500adac714847462afc4c6cabfa318295bc9","schema_version":"1.0","event_id":"sha256:6fda53c1b578e764a7c729f4189b500adac714847462afc4c6cabfa318295bc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CRWB2SXTI235GNPS75AXUJXQMD/bundle.json","state_url":"https://pith.science/pith/CRWB2SXTI235GNPS75AXUJXQMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CRWB2SXTI235GNPS75AXUJXQMD/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":"2026-05-26T13:13:42Z","links":{"resolver":"https://pith.science/pith/CRWB2SXTI235GNPS75AXUJXQMD","bundle":"https://pith.science/pith/CRWB2SXTI235GNPS75AXUJXQMD/bundle.json","state":"https://pith.science/pith/CRWB2SXTI235GNPS75AXUJXQMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CRWB2SXTI235GNPS75AXUJXQMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CRWB2SXTI235GNPS75AXUJXQMD","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":"aec65098dd6d5173da536dd40ddb5ff24dea2875245516dc04923c534e0a2187","cross_cats_sorted":["cs.ET","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-16T19:06:18Z","title_canon_sha256":"1363cdea1ae8ae43de72b03bf9e4e633e00168f9da09ef6866d1ff408c3bf257"},"schema_version":"1.0","source":{"id":"1509.05001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05001","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05001v2","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05001","created_at":"2026-05-18T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"CRWB2SXTI235","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CRWB2SXTI235GNPS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CRWB2SXT","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:6fda53c1b578e764a7c729f4189b500adac714847462afc4c6cabfa318295bc9","target":"graph","created_at":"2026-05-18T00:23:57Z","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":"Quantum adiabatic evolution is perceived as useful for binary quadratic programming problems that are a priori unconstrained. For constrained problems, it is a common practice to relax linear equality constraints as penalty terms in the objective function. However, there has not yet been proposed a method for efficiently dealing with inequality constraints using the quantum adiabatic approach. In this paper, we give a method for solving the Lagrangian dual of a binary quadratic programming (BQP) problem in the presence of inequality constraints and employ this procedure within a branch-and-bou","authors_text":"Brad Woods, Ehsan Iranmanesh, Pooya Ronagh","cross_cats":["cs.ET","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-16T19:06:18Z","title":"Solving constrained quadratic binary problems via quantum adiabatic evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05001","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:c40922abcd9e9d4241c2efd780f5dd672ef88a9510a4589743bf9d853a44b133","target":"record","created_at":"2026-05-18T00:23:57Z","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":"aec65098dd6d5173da536dd40ddb5ff24dea2875245516dc04923c534e0a2187","cross_cats_sorted":["cs.ET","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-16T19:06:18Z","title_canon_sha256":"1363cdea1ae8ae43de72b03bf9e4e633e00168f9da09ef6866d1ff408c3bf257"},"schema_version":"1.0","source":{"id":"1509.05001","kind":"arxiv","version":2}},"canonical_sha256":"146c1d4af346b7d335f2ff417a26f060fbfc31232d9d03f54ee384d742b568a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"146c1d4af346b7d335f2ff417a26f060fbfc31232d9d03f54ee384d742b568a1","first_computed_at":"2026-05-18T00:23:57.411332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:57.411332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ofDSSb19cUtkVYR+yHnxXa5OmG0VdsKISs+NpR39ukPPeea4T5LU4v0RFI+zdTz9vS4mRT+d/mpkdqjpvcWlDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:57.412218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c40922abcd9e9d4241c2efd780f5dd672ef88a9510a4589743bf9d853a44b133","sha256:6fda53c1b578e764a7c729f4189b500adac714847462afc4c6cabfa318295bc9"],"state_sha256":"15dd188416721b56caa4b34f4ab3e87de5c1dd3c04d2901f38d4ae0493a6c21c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQav6rDqU8ySBjS96BGzL2RMVXRqVBN5dvGixuYuKqGqi/wr1JoOjcBAoxrClAfPwWO/yh6mf2kyBZ0xaWDnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:13:42.008128Z","bundle_sha256":"a7faf50eb844584a951f2230de0abe0c7e2f446f24b8ee0c284710b1ea1c80f5"}}