{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IOKF6FF5KQYPZ7QD5YR3BU422Q","short_pith_number":"pith:IOKF6FF5","canonical_record":{"source":{"id":"1610.02878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-10T12:20:53Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"5da7f6d99ce7aa90b5233f12c833c13eb5d5d54a8243b0df253b8e18e2df42ed","abstract_canon_sha256":"a63a1ef81a5ebe5f2bc74c1aa1abdb663bfe3d1010b814c1735287e89a35c246"},"schema_version":"1.0"},"canonical_sha256":"43945f14bd5430fcfe03ee23b0d39ad409fc0bc8b709115d8f021a9a09d20317","source":{"kind":"arxiv","id":"1610.02878","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02878","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02878v1","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02878","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"pith_short_12","alias_value":"IOKF6FF5KQYP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IOKF6FF5KQYPZ7QD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IOKF6FF5","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IOKF6FF5KQYPZ7QD5YR3BU422Q","target":"record","payload":{"canonical_record":{"source":{"id":"1610.02878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-10T12:20:53Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"5da7f6d99ce7aa90b5233f12c833c13eb5d5d54a8243b0df253b8e18e2df42ed","abstract_canon_sha256":"a63a1ef81a5ebe5f2bc74c1aa1abdb663bfe3d1010b814c1735287e89a35c246"},"schema_version":"1.0"},"canonical_sha256":"43945f14bd5430fcfe03ee23b0d39ad409fc0bc8b709115d8f021a9a09d20317","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:50.495564Z","signature_b64":"mihUie3JY1HwFu4PLh1L1pwnBtC2rlgvAYjjwduA5RGmmH81p5qRuNha26GW/wGtbabPEXH0wzfWESbJaI4ODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43945f14bd5430fcfe03ee23b0d39ad409fc0bc8b709115d8f021a9a09d20317","last_reissued_at":"2026-05-18T01:02:50.494856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:50.494856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.02878","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":"2026-05-18T01:02:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSw0pplPFj5Wh411r+/JSzE5sBl/lr/xqsD2PXMOD8CJU/+e7Gh9A1qAw8cHqeAWBTwZZmIe65jLbfhw+nfEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:42:28.206756Z"},"content_sha256":"18a8b0b2608678a7e875ba901439d1683a16e89f1845b1f228f6adfb978c5cc4","schema_version":"1.0","event_id":"sha256:18a8b0b2608678a7e875ba901439d1683a16e89f1845b1f228f6adfb978c5cc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IOKF6FF5KQYPZ7QD5YR3BU422Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Navigation by anomalous random walks on complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Jie Zhang, Michael Small, Moein Khajehnejad, Pan Hui, Rui Zheng, Tongfeng Weng","submitted_at":"2016-10-10T12:20:53Z","abstract_excerpt":"Anomalous random walks having long-range jumps are a critical branch of dynamical processes on networks, which can model a number of search and transport processes. However, traditional measurements based on mean first passage time are not useful as they fail to characterize the cost associated with each jump. Here we introduce a new concept of mean first traverse distance (MFTD) to characterize anomalous random walks that represents the expected traverse distance taken by walkers searching from source node to target node, and we provide a procedure for calculating the MFTD between two nodes. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02878","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":"2026-05-18T01:02:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eYtj3oMtiiS5LDaohxRonkXI+DpiUDn5mK1K5xDGQbT+HWYcVrhuhl1a0M0YL5xsxkHl/3n46Vhjf171+qxGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:42:28.207511Z"},"content_sha256":"762e653fefa279da9c3f95abfd0e72a7918bf0d3805a6e1db115824ded49917b","schema_version":"1.0","event_id":"sha256:762e653fefa279da9c3f95abfd0e72a7918bf0d3805a6e1db115824ded49917b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/bundle.json","state_url":"https://pith.science/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/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":"2026-05-23T18:42:28Z","links":{"resolver":"https://pith.science/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q","bundle":"https://pith.science/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/bundle.json","state":"https://pith.science/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOKF6FF5KQYPZ7QD5YR3BU422Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IOKF6FF5KQYPZ7QD5YR3BU422Q","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":"a63a1ef81a5ebe5f2bc74c1aa1abdb663bfe3d1010b814c1735287e89a35c246","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-10T12:20:53Z","title_canon_sha256":"5da7f6d99ce7aa90b5233f12c833c13eb5d5d54a8243b0df253b8e18e2df42ed"},"schema_version":"1.0","source":{"id":"1610.02878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02878","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02878v1","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02878","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"pith_short_12","alias_value":"IOKF6FF5KQYP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IOKF6FF5KQYPZ7QD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IOKF6FF5","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:762e653fefa279da9c3f95abfd0e72a7918bf0d3805a6e1db115824ded49917b","target":"graph","created_at":"2026-05-18T01:02:50Z","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":"Anomalous random walks having long-range jumps are a critical branch of dynamical processes on networks, which can model a number of search and transport processes. However, traditional measurements based on mean first passage time are not useful as they fail to characterize the cost associated with each jump. Here we introduce a new concept of mean first traverse distance (MFTD) to characterize anomalous random walks that represents the expected traverse distance taken by walkers searching from source node to target node, and we provide a procedure for calculating the MFTD between two nodes. ","authors_text":"Jie Zhang, Michael Small, Moein Khajehnejad, Pan Hui, Rui Zheng, Tongfeng Weng","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-10T12:20:53Z","title":"Navigation by anomalous random walks on complex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02878","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":"sha256:18a8b0b2608678a7e875ba901439d1683a16e89f1845b1f228f6adfb978c5cc4","target":"record","created_at":"2026-05-18T01:02:50Z","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":"a63a1ef81a5ebe5f2bc74c1aa1abdb663bfe3d1010b814c1735287e89a35c246","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-10-10T12:20:53Z","title_canon_sha256":"5da7f6d99ce7aa90b5233f12c833c13eb5d5d54a8243b0df253b8e18e2df42ed"},"schema_version":"1.0","source":{"id":"1610.02878","kind":"arxiv","version":1}},"canonical_sha256":"43945f14bd5430fcfe03ee23b0d39ad409fc0bc8b709115d8f021a9a09d20317","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43945f14bd5430fcfe03ee23b0d39ad409fc0bc8b709115d8f021a9a09d20317","first_computed_at":"2026-05-18T01:02:50.494856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:50.494856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mihUie3JY1HwFu4PLh1L1pwnBtC2rlgvAYjjwduA5RGmmH81p5qRuNha26GW/wGtbabPEXH0wzfWESbJaI4ODA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:50.495564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18a8b0b2608678a7e875ba901439d1683a16e89f1845b1f228f6adfb978c5cc4","sha256:762e653fefa279da9c3f95abfd0e72a7918bf0d3805a6e1db115824ded49917b"],"state_sha256":"09c0322b0d7ebf927d65f241d0b0dce467c44ef888f1230aabde24db8a66d9d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXWXifpcI+Dq25psdKYPP53sNIw032lCpdnsyEAxxciyu4ljU1jawtUJlU/ZtEKk9oUkD1q3SdXIS25J/MA6Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T18:42:28.211881Z","bundle_sha256":"ccce65dedf5b5f7c76717c2e78e50462683a5a48cbe24b6e4efeffd26c1b260d"}}