{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YMFT4F2LY2JIHKSWUZC2SJ5FCU","short_pith_number":"pith:YMFT4F2L","canonical_record":{"source":{"id":"1402.6556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-02-26T14:39:57Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c16af606631a015b4908ee39484e55996dcf6c7d30f52fd20afa7db65b6c3b7a","abstract_canon_sha256":"98fe8e64d2db53a7f34bbbdc52b8d60a029b1418a82f51c3ac8d17f1a989320a"},"schema_version":"1.0"},"canonical_sha256":"c30b3e174bc69283aa56a645a927a515341dbbeab07cfb303143f50d6116b447","source":{"kind":"arxiv","id":"1402.6556","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6556","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6556v1","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6556","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"YMFT4F2LY2JI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YMFT4F2LY2JIHKSW","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YMFT4F2L","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YMFT4F2LY2JIHKSWUZC2SJ5FCU","target":"record","payload":{"canonical_record":{"source":{"id":"1402.6556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-02-26T14:39:57Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c16af606631a015b4908ee39484e55996dcf6c7d30f52fd20afa7db65b6c3b7a","abstract_canon_sha256":"98fe8e64d2db53a7f34bbbdc52b8d60a029b1418a82f51c3ac8d17f1a989320a"},"schema_version":"1.0"},"canonical_sha256":"c30b3e174bc69283aa56a645a927a515341dbbeab07cfb303143f50d6116b447","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:44.293747Z","signature_b64":"kntF5gWkMM1jt4SI3c9ejoDt+ZQelWNh8RLJZ6lKa11QyZzz+T7AkBkDD4Pl6aHLYOOR8jpjYtx2im2rgF6fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c30b3e174bc69283aa56a645a927a515341dbbeab07cfb303143f50d6116b447","last_reissued_at":"2026-05-18T02:57:44.293172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:44.293172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.6556","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":"2026-05-18T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zgfj9NpoCqSHbIASEGSVVeh7PSWbajzVcs+V/wQhknSsLH8uJbjskIpk8VvScr419bIYqGfW+u56TF8osumdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:02:04.908393Z"},"content_sha256":"1ee4caf7b96ef74b906fb02777a27908b135f0436de613670f810dd261738a7e","schema_version":"1.0","event_id":"sha256:1ee4caf7b96ef74b906fb02777a27908b135f0436de613670f810dd261738a7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YMFT4F2LY2JIHKSWUZC2SJ5FCU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolutionary solving of the debts' clearing problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Attila Bartha, Csaba Patcas","submitted_at":"2014-02-26T14:39:57Z","abstract_excerpt":"The debts' clearing problem is about clearing all the debts in a group of n entities (persons, companies etc.) using a minimal number of money transaction operations. The problem is known to be NP-hard in the strong sense. As for many intractable problems, techniques from the field of artificial intelligence are useful in finding solutions close to optimum for large inputs. An evolutionary algorithm for solving the debts' clearing problem is proposed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6556","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":"2026-05-18T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PDtREU4akRvUIBxVqDsUwAO48QwC4poJu2BUVtr6+7hPgybOOOwdLKClVTCKCRTE+FyYDO9f5fl8LL0SSRSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:02:04.909119Z"},"content_sha256":"fd0f5a4adbd198c6623058275481b483b8499cd244b9c655bc0cee98c7c4b7a4","schema_version":"1.0","event_id":"sha256:fd0f5a4adbd198c6623058275481b483b8499cd244b9c655bc0cee98c7c4b7a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/bundle.json","state_url":"https://pith.science/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/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":"2026-06-09T08:02:04Z","links":{"resolver":"https://pith.science/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU","bundle":"https://pith.science/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/bundle.json","state":"https://pith.science/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YMFT4F2LY2JIHKSWUZC2SJ5FCU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YMFT4F2LY2JIHKSWUZC2SJ5FCU","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":"98fe8e64d2db53a7f34bbbdc52b8d60a029b1418a82f51c3ac8d17f1a989320a","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-02-26T14:39:57Z","title_canon_sha256":"c16af606631a015b4908ee39484e55996dcf6c7d30f52fd20afa7db65b6c3b7a"},"schema_version":"1.0","source":{"id":"1402.6556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6556","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6556v1","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6556","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"YMFT4F2LY2JI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YMFT4F2LY2JIHKSW","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YMFT4F2L","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:fd0f5a4adbd198c6623058275481b483b8499cd244b9c655bc0cee98c7c4b7a4","target":"graph","created_at":"2026-05-18T02:57:44Z","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 debts' clearing problem is about clearing all the debts in a group of n entities (persons, companies etc.) using a minimal number of money transaction operations. The problem is known to be NP-hard in the strong sense. As for many intractable problems, techniques from the field of artificial intelligence are useful in finding solutions close to optimum for large inputs. An evolutionary algorithm for solving the debts' clearing problem is proposed.","authors_text":"Attila Bartha, Csaba Patcas","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-02-26T14:39:57Z","title":"Evolutionary solving of the debts' clearing problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6556","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":"sha256:1ee4caf7b96ef74b906fb02777a27908b135f0436de613670f810dd261738a7e","target":"record","created_at":"2026-05-18T02:57:44Z","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":"98fe8e64d2db53a7f34bbbdc52b8d60a029b1418a82f51c3ac8d17f1a989320a","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-02-26T14:39:57Z","title_canon_sha256":"c16af606631a015b4908ee39484e55996dcf6c7d30f52fd20afa7db65b6c3b7a"},"schema_version":"1.0","source":{"id":"1402.6556","kind":"arxiv","version":1}},"canonical_sha256":"c30b3e174bc69283aa56a645a927a515341dbbeab07cfb303143f50d6116b447","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c30b3e174bc69283aa56a645a927a515341dbbeab07cfb303143f50d6116b447","first_computed_at":"2026-05-18T02:57:44.293172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:44.293172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kntF5gWkMM1jt4SI3c9ejoDt+ZQelWNh8RLJZ6lKa11QyZzz+T7AkBkDD4Pl6aHLYOOR8jpjYtx2im2rgF6fBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:44.293747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ee4caf7b96ef74b906fb02777a27908b135f0436de613670f810dd261738a7e","sha256:fd0f5a4adbd198c6623058275481b483b8499cd244b9c655bc0cee98c7c4b7a4"],"state_sha256":"197baaf4085ed1e2d3bfb7d70be333302434f162bff029718d31f8242eb55627"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1BthvRI2+nhTqlR2l+sope+1omje78bS60UGasAcdQPJ/CTO+MZLYcBRB4zKdjl7QcnTsIEsRjUkVkzEEqNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:02:04.913132Z","bundle_sha256":"4390c3896cd43dd376ee0b9eefaf228d6cb06f5bc7b1763a72136564aa76715d"}}