{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:5W7USUJJ3WD4GHJSTPQPVBPMIU","short_pith_number":"pith:5W7USUJJ","canonical_record":{"source":{"id":"cond-mat/0212055","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2002-12-03T10:04:58Z","cross_cats_sorted":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"title_canon_sha256":"ae8d5a522ad80e3e42236aa251fcde0d57e0fd4dbbe3748f0543f2e777f865e1","abstract_canon_sha256":"44ff17613367046e9c6c1a81ebceac2fe20e62cbbf544bf9abe8941a830fc0c8"},"schema_version":"1.0"},"canonical_sha256":"edbf495129dd87c31d329be0fa85ec45279cb4dcff27b80c52ff0f47a0648135","source":{"kind":"arxiv","id":"cond-mat/0212055","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212055","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212055v1","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212055","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"pith_short_12","alias_value":"5W7USUJJ3WD4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"5W7USUJJ3WD4GHJS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"5W7USUJJ","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:5W7USUJJ3WD4GHJSTPQPVBPMIU","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0212055","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2002-12-03T10:04:58Z","cross_cats_sorted":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"title_canon_sha256":"ae8d5a522ad80e3e42236aa251fcde0d57e0fd4dbbe3748f0543f2e777f865e1","abstract_canon_sha256":"44ff17613367046e9c6c1a81ebceac2fe20e62cbbf544bf9abe8941a830fc0c8"},"schema_version":"1.0"},"canonical_sha256":"edbf495129dd87c31d329be0fa85ec45279cb4dcff27b80c52ff0f47a0648135","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:58.407212Z","signature_b64":"niqvUM8DnE3XR4FqNKztvjL3JD4g4blqLj401ngRjwWc9RfsZb8CMtPY2e5YmbC0m5XFf/FC5wm4SDcwb2IvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edbf495129dd87c31d329be0fa85ec45279cb4dcff27b80c52ff0f47a0648135","last_reissued_at":"2026-05-18T01:06:58.406598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:58.406598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0212055","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":"2026-05-18T01:06:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cIFqiRa1t0IBH1RDWtXphrHwRUuLHt4TvfM/T5e8n6sm1JOyqnvELm5KzzuxuzA+I2yrtIu9mOKPXQhW9IhDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:40:06.314963Z"},"content_sha256":"bbc49c585f6afd47971ce42b033dfdf17af1b431641d40c7b46a808126019ab8","schema_version":"1.0","event_id":"sha256:bbc49c585f6afd47971ce42b033dfdf17af1b431641d40c7b46a808126019ab8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:5W7USUJJ3WD4GHJSTPQPVBPMIU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-Dependent Random Walks and the Theory of Complex Adaptive Systems","license":"","headline":"","cross_cats":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"primary_cat":"cond-mat","authors_text":"Shahar Hod","submitted_at":"2002-12-03T10:04:58Z","abstract_excerpt":"Motivated by novel results in the theory of complex adaptive systems, we analyze the dynamics of random walks in which the jumping probabilities are {\\it time-dependent}. We determine the survival probability in the presence of an absorbing boundary. For an unbiased walk the survival probability is maximized in the case of large temporal oscillations in the jumping probabilities. On the other hand, a random walker who is drifted towards the absorbing boundary performs best with a constant jumping probability. We use the results to reveal the underlying dynamics responsible for the phenomenon o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212055","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":"2026-05-18T01:06:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljH3gdhLJ8DiQqVYe3H+RrHoFgA42Uxt8pt4t9GQIyhEdvBJ1HBDNmz9tXBgYf3W2ptsto57pzbA8q86FjFPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:40:06.315831Z"},"content_sha256":"af90d4c6d27cf6a3aa4231159e597c604ceba072d9fc479be703aaa9560bb15c","schema_version":"1.0","event_id":"sha256:af90d4c6d27cf6a3aa4231159e597c604ceba072d9fc479be703aaa9560bb15c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/bundle.json","state_url":"https://pith.science/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/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":"2026-08-14T17:40:06Z","links":{"resolver":"https://pith.science/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU","bundle":"https://pith.science/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/bundle.json","state":"https://pith.science/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5W7USUJJ3WD4GHJSTPQPVBPMIU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:5W7USUJJ3WD4GHJSTPQPVBPMIU","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":"44ff17613367046e9c6c1a81ebceac2fe20e62cbbf544bf9abe8941a830fc0c8","cross_cats_sorted":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"license":"","primary_cat":"cond-mat","submitted_at":"2002-12-03T10:04:58Z","title_canon_sha256":"ae8d5a522ad80e3e42236aa251fcde0d57e0fd4dbbe3748f0543f2e777f865e1"},"schema_version":"1.0","source":{"id":"cond-mat/0212055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212055","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212055v1","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212055","created_at":"2026-05-18T01:06:58Z"},{"alias_kind":"pith_short_12","alias_value":"5W7USUJJ3WD4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"5W7USUJJ3WD4GHJS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"5W7USUJJ","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:af90d4c6d27cf6a3aa4231159e597c604ceba072d9fc479be703aaa9560bb15c","target":"graph","created_at":"2026-05-18T01:06:58Z","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":"Motivated by novel results in the theory of complex adaptive systems, we analyze the dynamics of random walks in which the jumping probabilities are {\\it time-dependent}. We determine the survival probability in the presence of an absorbing boundary. For an unbiased walk the survival probability is maximized in the case of large temporal oscillations in the jumping probabilities. On the other hand, a random walker who is drifted towards the absorbing boundary performs best with a constant jumping probability. We use the results to reveal the underlying dynamics responsible for the phenomenon o","authors_text":"Shahar Hod","cross_cats":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2002-12-03T10:04:58Z","title":"Time-Dependent Random Walks and the Theory of Complex Adaptive Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212055","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:bbc49c585f6afd47971ce42b033dfdf17af1b431641d40c7b46a808126019ab8","target":"record","created_at":"2026-05-18T01:06:58Z","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":"44ff17613367046e9c6c1a81ebceac2fe20e62cbbf544bf9abe8941a830fc0c8","cross_cats_sorted":["gr-qc","nlin.AO","nlin.SI","physics.bio-ph","physics.data-an","physics.soc-ph"],"license":"","primary_cat":"cond-mat","submitted_at":"2002-12-03T10:04:58Z","title_canon_sha256":"ae8d5a522ad80e3e42236aa251fcde0d57e0fd4dbbe3748f0543f2e777f865e1"},"schema_version":"1.0","source":{"id":"cond-mat/0212055","kind":"arxiv","version":1}},"canonical_sha256":"edbf495129dd87c31d329be0fa85ec45279cb4dcff27b80c52ff0f47a0648135","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edbf495129dd87c31d329be0fa85ec45279cb4dcff27b80c52ff0f47a0648135","first_computed_at":"2026-05-18T01:06:58.406598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:58.406598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"niqvUM8DnE3XR4FqNKztvjL3JD4g4blqLj401ngRjwWc9RfsZb8CMtPY2e5YmbC0m5XFf/FC5wm4SDcwb2IvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:58.407212Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0212055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbc49c585f6afd47971ce42b033dfdf17af1b431641d40c7b46a808126019ab8","sha256:af90d4c6d27cf6a3aa4231159e597c604ceba072d9fc479be703aaa9560bb15c"],"state_sha256":"fabe226ea97e8030cbf8b3c5c96b11e94e77b6aa208024e4433b14a854a1802c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHy0f84ZaY/Ytk3BZtvFgh9+81bWAnhVzENR8zosTFFTtX+EbBkbCVAdnajv7NT+rR2taKm9nRwZZ8t1V3XOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T17:40:06.321075Z","bundle_sha256":"287bfbf3e16d1dc688e66c7e7d4e7e612461441da335f5fbd48effced9e884fb"}}