{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MMDN2OYHHDZT47XKQSFWS6BKVN","short_pith_number":"pith:MMDN2OYH","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"},"canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","source":{"kind":"arxiv","id":"1102.3930","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3930","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3930v2","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3930","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"MMDN2OYHHDZT","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MMDN2OYHHDZT47XK","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MMDN2OYH","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MMDN2OYHHDZT47XKQSFWS6BKVN","target":"record","payload":{"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"},"canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","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"},"source_kind":"arxiv","source_id":"1102.3930","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":"2026-05-18T02:03:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kQC/rx8gDwAiBkkMdhpXP/eRupjfFtatkiRMJuCUyqxWE/JCS0DQO6ZUjcv2w50wgcZsCiT6rAGYTAWyW+sMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:04:58.243349Z"},"content_sha256":"00a5abb4ee39d489b242a7a49eb55762aa772c5fb77b36afd38251192c2390c9","schema_version":"1.0","event_id":"sha256:00a5abb4ee39d489b242a7a49eb55762aa772c5fb77b36afd38251192c2390c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MMDN2OYHHDZT47XKQSFWS6BKVN","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lhNTKmvyWpuJDVG+J+4ofVTxO97WtIdsak0AA5n6lAMT7axTdnxUH0HT8gX4RZizmGd3WmjOiTvv4IoKX6pJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:04:58.244033Z"},"content_sha256":"71499f9eb04ee6e59f226c8765dfacdd5031076d5aa96c79e478d824a47dfd7b","schema_version":"1.0","event_id":"sha256:71499f9eb04ee6e59f226c8765dfacdd5031076d5aa96c79e478d824a47dfd7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/bundle.json","state_url":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/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":"2026-06-07T09:04:58Z","links":{"resolver":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN","bundle":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/bundle.json","state":"https://pith.science/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MMDN2OYHHDZT47XKQSFWS6BKVN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MMDN2OYHHDZT47XKQSFWS6BKVN","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":"73fcf1045323ffcfe4f41d34e5f1322f3c9b5d75edd07a4d61857cee1bff33a7","cross_cats_sorted":["cs.DS","physics.soc-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-18T22:20:53Z","title_canon_sha256":"bcdbbbbd49ce23b05d28d79bdfb562067b57f39e7d2ec4a6cf2da66f4b6ddfd2"},"schema_version":"1.0","source":{"id":"1102.3930","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3930","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3930v2","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3930","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"MMDN2OYHHDZT","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MMDN2OYHHDZT47XK","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MMDN2OYH","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:71499f9eb04ee6e59f226c8765dfacdd5031076d5aa96c79e478d824a47dfd7b","target":"graph","created_at":"2026-05-18T02:03:07Z","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":"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","authors_text":"Adam Lipowski, Dorota Lipowska","cross_cats":["cs.DS","physics.soc-ph","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-18T22:20:53Z","title":"Diffusive behavior of a greedy traveling salesman"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3930","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":"sha256:00a5abb4ee39d489b242a7a49eb55762aa772c5fb77b36afd38251192c2390c9","target":"record","created_at":"2026-05-18T02:03:07Z","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":"73fcf1045323ffcfe4f41d34e5f1322f3c9b5d75edd07a4d61857cee1bff33a7","cross_cats_sorted":["cs.DS","physics.soc-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-18T22:20:53Z","title_canon_sha256":"bcdbbbbd49ce23b05d28d79bdfb562067b57f39e7d2ec4a6cf2da66f4b6ddfd2"},"schema_version":"1.0","source":{"id":"1102.3930","kind":"arxiv","version":2}},"canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6306dd3b0738f33e7eea848b69782aab52eca377c0f292b195180b12961ed5b4","first_computed_at":"2026-05-18T02:03:07.615009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:07.615009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a4bzLY7ihJmqO4j8/bQE72WL6lBmiIR5Pv5IjBTatzWKDE/U1PcRuNEwT6lx6bW0l9alBQJ5+VdzbWdGhenrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:07.615470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3930","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00a5abb4ee39d489b242a7a49eb55762aa772c5fb77b36afd38251192c2390c9","sha256:71499f9eb04ee6e59f226c8765dfacdd5031076d5aa96c79e478d824a47dfd7b"],"state_sha256":"abcb251dcac537f1b12269d6d3bc1ec9348c6d46cab77400f04221d217a09c35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1nG6Fr84GaNV9WLqpteYdBqfZsSFQzgtXg+3o8owCbdKP/BNhETHYqW8/vv3afnUPwHndJBjrOcLEvjyYUZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T09:04:58.247467Z","bundle_sha256":"f5edd7b180c12b277e1655cb168472b0eedd3ae1e5c312f1d7fcb5388122fde9"}}