{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y6Q2OPOE2RHPNRPTHM4N7ZDJXU","short_pith_number":"pith:Y6Q2OPOE","canonical_record":{"source":{"id":"1112.2112","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-09T15:00:53Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"17819f54d59f2d1a64ad00c45a4cbc9f9c76fc45757248d7e4588db314c1f271","abstract_canon_sha256":"4a38b7fa5580b065672ec81517569e77ee44a68252811a8f7383e6b1469ea79c"},"schema_version":"1.0"},"canonical_sha256":"c7a1a73dc4d44ef6c5f33b38dfe469bd20b579a3302f58e9987bef0a502c67cd","source":{"kind":"arxiv","id":"1112.2112","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2112","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2112v3","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2112","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"Y6Q2OPOE2RHP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y6Q2OPOE2RHPNRPT","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y6Q2OPOE","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y6Q2OPOE2RHPNRPTHM4N7ZDJXU","target":"record","payload":{"canonical_record":{"source":{"id":"1112.2112","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-09T15:00:53Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"17819f54d59f2d1a64ad00c45a4cbc9f9c76fc45757248d7e4588db314c1f271","abstract_canon_sha256":"4a38b7fa5580b065672ec81517569e77ee44a68252811a8f7383e6b1469ea79c"},"schema_version":"1.0"},"canonical_sha256":"c7a1a73dc4d44ef6c5f33b38dfe469bd20b579a3302f58e9987bef0a502c67cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:39.184271Z","signature_b64":"IaF67ptrAiefJCaYqn4371rM8k+ymluc1jey2OPS4as7IDNcGTazI5ivt0uAp1L1pb0N+2wAO4PLOmr2V86DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7a1a73dc4d44ef6c5f33b38dfe469bd20b579a3302f58e9987bef0a502c67cd","last_reissued_at":"2026-05-18T03:54:39.183682Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:39.183682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.2112","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:54:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9abigku/yGZYn2YJWQldDX9gSRAcU3a8dBVXl7Tyed5w0KZtpxRGGI8sBhNRWfq3YGcJYGJHj00hPY3gi7jSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:04:44.149234Z"},"content_sha256":"b7d8444603473ff79adeee37723cb7e2b6a681cd84fee1db6744310ec94222b4","schema_version":"1.0","event_id":"sha256:b7d8444603473ff79adeee37723cb7e2b6a681cd84fee1db6744310ec94222b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y6Q2OPOE2RHPNRPTHM4N7ZDJXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extreme events and event size fluctuations in biased random walks on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. S. Santhanam, R. E. Amritkar, Vimal Kishore","submitted_at":"2011-12-09T15:00:53Z","abstract_excerpt":"Random walk on discrete lattice models is important to understand various types of transport processes. The extreme events, defined as exceedences of the flux of walkers above a prescribed threshold, have been studied recently in the context of complex networks. This was motivated by the occurrence of rare events such as traffic jams, floods, and power black-outs which take place on networks. In this work, we study extreme events in a generalized random walk model in which the walk is preferentially biased by the network topology. The walkers preferentially choose to hop toward the hubs or sma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2112","kind":"arxiv","version":3},"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":"2026-05-18T03:54:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4XNqbh7JHV2t31wXXxavevgs21KF/yO7yjdzQoFcOx2/UjXk/JHTCpglnZzn62k+R/keVPgm6aP8GF5yYBXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:04:44.149880Z"},"content_sha256":"e6a2981ec08c5d7452f1d4ac174f898c86a3eea7f6096df8452c4238ecbecafb","schema_version":"1.0","event_id":"sha256:e6a2981ec08c5d7452f1d4ac174f898c86a3eea7f6096df8452c4238ecbecafb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/bundle.json","state_url":"https://pith.science/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/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":"2026-05-28T22:04:44Z","links":{"resolver":"https://pith.science/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU","bundle":"https://pith.science/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/bundle.json","state":"https://pith.science/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6Q2OPOE2RHPNRPTHM4N7ZDJXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y6Q2OPOE2RHPNRPTHM4N7ZDJXU","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":"4a38b7fa5580b065672ec81517569e77ee44a68252811a8f7383e6b1469ea79c","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-09T15:00:53Z","title_canon_sha256":"17819f54d59f2d1a64ad00c45a4cbc9f9c76fc45757248d7e4588db314c1f271"},"schema_version":"1.0","source":{"id":"1112.2112","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2112","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2112v3","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2112","created_at":"2026-05-18T03:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"Y6Q2OPOE2RHP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y6Q2OPOE2RHPNRPT","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y6Q2OPOE","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:e6a2981ec08c5d7452f1d4ac174f898c86a3eea7f6096df8452c4238ecbecafb","target":"graph","created_at":"2026-05-18T03:54:39Z","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":"Random walk on discrete lattice models is important to understand various types of transport processes. The extreme events, defined as exceedences of the flux of walkers above a prescribed threshold, have been studied recently in the context of complex networks. This was motivated by the occurrence of rare events such as traffic jams, floods, and power black-outs which take place on networks. In this work, we study extreme events in a generalized random walk model in which the walk is preferentially biased by the network topology. The walkers preferentially choose to hop toward the hubs or sma","authors_text":"M. S. Santhanam, R. E. Amritkar, Vimal Kishore","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-09T15:00:53Z","title":"Extreme events and event size fluctuations in biased random walks on networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2112","kind":"arxiv","version":3},"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:b7d8444603473ff79adeee37723cb7e2b6a681cd84fee1db6744310ec94222b4","target":"record","created_at":"2026-05-18T03:54:39Z","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":"4a38b7fa5580b065672ec81517569e77ee44a68252811a8f7383e6b1469ea79c","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-09T15:00:53Z","title_canon_sha256":"17819f54d59f2d1a64ad00c45a4cbc9f9c76fc45757248d7e4588db314c1f271"},"schema_version":"1.0","source":{"id":"1112.2112","kind":"arxiv","version":3}},"canonical_sha256":"c7a1a73dc4d44ef6c5f33b38dfe469bd20b579a3302f58e9987bef0a502c67cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7a1a73dc4d44ef6c5f33b38dfe469bd20b579a3302f58e9987bef0a502c67cd","first_computed_at":"2026-05-18T03:54:39.183682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:39.183682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IaF67ptrAiefJCaYqn4371rM8k+ymluc1jey2OPS4as7IDNcGTazI5ivt0uAp1L1pb0N+2wAO4PLOmr2V86DDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:39.184271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2112","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7d8444603473ff79adeee37723cb7e2b6a681cd84fee1db6744310ec94222b4","sha256:e6a2981ec08c5d7452f1d4ac174f898c86a3eea7f6096df8452c4238ecbecafb"],"state_sha256":"caa7e14859bdd36a246f3a8805bfd1f60a834ce63a7f96c8918a25d591243cef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u/DJ70oIwPUER6xQ1LigN59MfGKLsBCSo0u3I3Xu5G+FSfgSnGaA2/wNksGNHSP/stdC2YO704OvBLxrFzo1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:04:44.153227Z","bundle_sha256":"6ded22ffdc4171ff669f9f1196fc3351fa762ea77f9ad4ebbeab90708820fa2a"}}