{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4UQV6H52FCRNMMVCDD5UZBKYPW","short_pith_number":"pith:4UQV6H52","canonical_record":{"source":{"id":"1406.2741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-10T23:07:30Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"14a8b0bc17dfa2cb8ef177d4f43f2de90a1adb9e81b82e6ede8c7a72d76c4c08","abstract_canon_sha256":"e182ba6c4fa09bfd403aa5f8a6cac426883bb30d1cf1f89d76c760f7d119f567"},"schema_version":"1.0"},"canonical_sha256":"e5215f1fba28a2d632a218fb4c85587db2ac2e588e208193363b8f00909b4707","source":{"kind":"arxiv","id":"1406.2741","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2741","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2741v1","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2741","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"4UQV6H52FCRN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4UQV6H52FCRNMMVC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4UQV6H52","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4UQV6H52FCRNMMVCDD5UZBKYPW","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-10T23:07:30Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"14a8b0bc17dfa2cb8ef177d4f43f2de90a1adb9e81b82e6ede8c7a72d76c4c08","abstract_canon_sha256":"e182ba6c4fa09bfd403aa5f8a6cac426883bb30d1cf1f89d76c760f7d119f567"},"schema_version":"1.0"},"canonical_sha256":"e5215f1fba28a2d632a218fb4c85587db2ac2e588e208193363b8f00909b4707","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:55.262471Z","signature_b64":"GyfoVi2gDrI/tC2ONGRKyuQTAiE07q6xUe+vZCl7mcrMypet7Vmp8V0XOf0+6z6YeekcJnRs0dSK8Dj581SpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5215f1fba28a2d632a218fb4c85587db2ac2e588e208193363b8f00909b4707","last_reissued_at":"2026-05-18T02:49:55.261863Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:55.261863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2741","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":"2026-05-18T02:49:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PU38grMFzwoUb5V4KMyetimZ+s+MmiLSyKqK3bQgPW3yFS+26bpe0YmUAOMnIAwzs97Qf2BSX25KRJhtxM8mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:41:59.287882Z"},"content_sha256":"589305dd113b22645fee8b35a8f506a723d3dd080acdaefe515e0f334fc25d62","schema_version":"1.0","event_id":"sha256:589305dd113b22645fee8b35a8f506a723d3dd080acdaefe515e0f334fc25d62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4UQV6H52FCRNMMVCDD5UZBKYPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A practical heuristic for finding graph minors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.CO"],"primary_cat":"quant-ph","authors_text":"Aidan Roy, Jun Cai, William G. Macready","submitted_at":"2014-06-10T23:07:30Z","abstract_excerpt":"We present a heuristic algorithm for finding a graph $H$ as a minor of a graph $G$ that is practical for sparse $G$ and $H$ with hundreds of vertices. We also explain the practical importance of finding graph minors in mapping quadratic pseudo-boolean optimization problems onto an adiabatic quantum annealer."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2741","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":"2026-05-18T02:49:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QZRZxjJH269kCKMHT70ipK25JqNoN9ckMl/xgwdErBy3hPm7QOEA5BAoJ2VlSe2p4JBc+zGUd+o2j3pAlWICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:41:59.288544Z"},"content_sha256":"bce8e8fead55166e281ea8aea39a9def265fb402b76e7573037c3959593f277c","schema_version":"1.0","event_id":"sha256:bce8e8fead55166e281ea8aea39a9def265fb402b76e7573037c3959593f277c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/bundle.json","state_url":"https://pith.science/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/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":"2026-05-25T12:41:59Z","links":{"resolver":"https://pith.science/pith/4UQV6H52FCRNMMVCDD5UZBKYPW","bundle":"https://pith.science/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/bundle.json","state":"https://pith.science/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4UQV6H52FCRNMMVCDD5UZBKYPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4UQV6H52FCRNMMVCDD5UZBKYPW","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":"e182ba6c4fa09bfd403aa5f8a6cac426883bb30d1cf1f89d76c760f7d119f567","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-10T23:07:30Z","title_canon_sha256":"14a8b0bc17dfa2cb8ef177d4f43f2de90a1adb9e81b82e6ede8c7a72d76c4c08"},"schema_version":"1.0","source":{"id":"1406.2741","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2741","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2741v1","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2741","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"4UQV6H52FCRN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4UQV6H52FCRNMMVC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4UQV6H52","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:bce8e8fead55166e281ea8aea39a9def265fb402b76e7573037c3959593f277c","target":"graph","created_at":"2026-05-18T02:49:55Z","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 present a heuristic algorithm for finding a graph $H$ as a minor of a graph $G$ that is practical for sparse $G$ and $H$ with hundreds of vertices. We also explain the practical importance of finding graph minors in mapping quadratic pseudo-boolean optimization problems onto an adiabatic quantum annealer.","authors_text":"Aidan Roy, Jun Cai, William G. Macready","cross_cats":["cs.DS","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-10T23:07:30Z","title":"A practical heuristic for finding graph minors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2741","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":"sha256:589305dd113b22645fee8b35a8f506a723d3dd080acdaefe515e0f334fc25d62","target":"record","created_at":"2026-05-18T02:49:55Z","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":"e182ba6c4fa09bfd403aa5f8a6cac426883bb30d1cf1f89d76c760f7d119f567","cross_cats_sorted":["cs.DS","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-10T23:07:30Z","title_canon_sha256":"14a8b0bc17dfa2cb8ef177d4f43f2de90a1adb9e81b82e6ede8c7a72d76c4c08"},"schema_version":"1.0","source":{"id":"1406.2741","kind":"arxiv","version":1}},"canonical_sha256":"e5215f1fba28a2d632a218fb4c85587db2ac2e588e208193363b8f00909b4707","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5215f1fba28a2d632a218fb4c85587db2ac2e588e208193363b8f00909b4707","first_computed_at":"2026-05-18T02:49:55.261863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:55.261863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GyfoVi2gDrI/tC2ONGRKyuQTAiE07q6xUe+vZCl7mcrMypet7Vmp8V0XOf0+6z6YeekcJnRs0dSK8Dj581SpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:55.262471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2741","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:589305dd113b22645fee8b35a8f506a723d3dd080acdaefe515e0f334fc25d62","sha256:bce8e8fead55166e281ea8aea39a9def265fb402b76e7573037c3959593f277c"],"state_sha256":"79b8dc1f544d016c6379dd94689a792c0d260d22c9c022d3697da63f1e99b8ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KriNuIatwPXQ8H4Ujwk30rBLTMblymbLmV+4igMQqYnZAYMuEPEMg7ijGV6VTdjCoovF3mhZG9BOm5DLzZ3eDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:41:59.292548Z","bundle_sha256":"bdc67176802b06775db8aebce7f93ec230bf5410bb4b59a50c423801c1f96c94"}}