{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MMDN2OYHHDZT47XKQSFWS6BKVN","short_pith_number":"pith:MMDN2OYH","schema_version":"1.0","canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","source":{"kind":"arxiv","id":"1102.3930","version":2},"attestation_state":"computed","paper":{"title":"Diffusive behavior of a greedy traveling salesman","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","physics.soc-ph","q-bio.QM"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adam Lipowski, Dorota Lipowska","submitted_at":"2011-02-18T22:20:53Z","abstract_excerpt":"Using Monte Carlo simulations we examine the diffusive properties of the greedy algorithm in the d-dimensional traveling salesman problem. Our results show that for d=3 and 4 the average squared distance from the origin <r^2> is proportional to the number of steps t. In the d=2 case such a scaling is modified with some logarithmic corrections, which might suggest that d=2 is the critical dimension of the problem. The distribution of lengths also shows marked differences between d=2 and d>2 versions. A simple strategy adopted by the salesman might resemble strategies chosen by some foraging and"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1102.3930","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-18T22:20:53Z","cross_cats_sorted":["cs.DS","physics.soc-ph","q-bio.QM"],"title_canon_sha256":"bcdbbbbd49ce23b05d28d79bdfb562067b57f39e7d2ec4a6cf2da66f4b6ddfd2","abstract_canon_sha256":"73fcf1045323ffcfe4f41d34e5f1322f3c9b5d75edd07a4d61857cee1bff33a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:07.615470Z","signature_b64":"a4bzLY7ihJmqO4j8/bQE72WL6lBmiIR5Pv5IjBTatzWKDE/U1PcRuNEwT6lx6bW0l9alBQJ5+VdzbWdGhenrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","last_reissued_at":"2026-05-18T02:03:07.615009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:07.615009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusive behavior of a greedy traveling salesman","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","physics.soc-ph","q-bio.QM"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adam Lipowski, Dorota Lipowska","submitted_at":"2011-02-18T22:20:53Z","abstract_excerpt":"Using Monte Carlo simulations we examine the diffusive properties of the greedy algorithm in the d-dimensional traveling salesman problem. Our results show that for d=3 and 4 the average squared distance from the origin <r^2> is proportional to the number of steps t. In the d=2 case such a scaling is modified with some logarithmic corrections, which might suggest that d=2 is the critical dimension of the problem. The distribution of lengths also shows marked differences between d=2 and d>2 versions. A simple strategy adopted by the salesman might resemble strategies chosen by some foraging and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3930","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1102.3930","created_at":"2026-05-18T02:03:07.615074+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.3930v2","created_at":"2026-05-18T02:03:07.615074+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3930","created_at":"2026-05-18T02:03:07.615074+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMDN2OYHHDZT","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMDN2OYHHDZT47XK","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMDN2OYH","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN","json":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN.json","graph_json":"https://pith.science/api/pith-number/MMDN2OYHHDZT47XKQSFWS6BKVN/graph.json","events_json":"https://pith.science/api/pith-number/MMDN2OYHHDZT47XKQSFWS6BKVN/events.json","paper":"https://pith.science/paper/MMDN2OYH"},"agent_actions":{"view_html":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN","download_json":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN.json","view_paper":"https://pith.science/paper/MMDN2OYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.3930&json=true","fetch_graph":"https://pith.science/api/pith-number/MMDN2OYHHDZT47XKQSFWS6BKVN/graph.json","fetch_events":"https://pith.science/api/pith-number/MMDN2OYHHDZT47XKQSFWS6BKVN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/action/storage_attestation","attest_author":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/action/author_attestation","sign_citation":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/action/citation_signature","submit_replication":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/action/replication_record"}},"created_at":"2026-05-18T02:03:07.615074+00:00","updated_at":"2026-05-18T02:03:07.615074+00:00"}