{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FBEVHE246FB6J43JTXLEMW75CW","short_pith_number":"pith:FBEVHE24","canonical_record":{"source":{"id":"1107.4225","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-21T10:16:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9cab0c8863c0e271a90203270ea4231a1959e6896ffca22a9e9bf8776b1fc951","abstract_canon_sha256":"2a1442b67a75857bbe03b768c13e1a85fb57180a1101a449329682aedd978cc1"},"schema_version":"1.0"},"canonical_sha256":"284953935cf143e4f3699dd6465bfd158baa7ab98c388847cdebbd5a1bcfd788","source":{"kind":"arxiv","id":"1107.4225","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4225","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4225v2","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4225","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"pith_short_12","alias_value":"FBEVHE246FB6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FBEVHE246FB6J43J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FBEVHE24","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FBEVHE246FB6J43JTXLEMW75CW","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4225","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-21T10:16:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9cab0c8863c0e271a90203270ea4231a1959e6896ffca22a9e9bf8776b1fc951","abstract_canon_sha256":"2a1442b67a75857bbe03b768c13e1a85fb57180a1101a449329682aedd978cc1"},"schema_version":"1.0"},"canonical_sha256":"284953935cf143e4f3699dd6465bfd158baa7ab98c388847cdebbd5a1bcfd788","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:19.328141Z","signature_b64":"cftQqSmjGbojiBTHMbpFMaNujToFdp5+PfRYJ5VhcGORJE3gzIGzIPR3nORZCA90Fbfn5yneaZ9AYTLxJHPXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"284953935cf143e4f3699dd6465bfd158baa7ab98c388847cdebbd5a1bcfd788","last_reissued_at":"2026-05-18T01:26:19.327707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:19.327707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4225","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":"2026-05-18T01:26:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyhBES/7FrRt8LxTC0ZcdrvVv8v8KemPlg0AP7c+TDpehBK8J9LBJn45j+n/AaIDzeLYBoLkRmqhib11wQP2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:35:05.958577Z"},"content_sha256":"478bc835a97499d58206f9eb1567390b5d7ef4ee1248e15ab54adc08c09c3f4f","schema_version":"1.0","event_id":"sha256:478bc835a97499d58206f9eb1567390b5d7ef4ee1248e15ab54adc08c09c3f4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FBEVHE246FB6J43JTXLEMW75CW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusion with Optimal Resetting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Martin R. Evans, Satya N. Majumdar","submitted_at":"2011-07-21T10:16:55Z","abstract_excerpt":"We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate $r$. We consider several generalisations of the model of M. R. Evans and S. N. Majumdar (2011), Diffusion with stochastic resetting, Phys. Rev. Lett. 106, 160601: (i) a space dependent resetting rate $r(x)$ ii) resetting to a random position $z$ drawn from a resetting distribution ${\\cal P}(z)$ iii) a spatial distribution for the absorbing target $P_T(x)$. As an example of (i) we show that the introduction of a non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4225","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":"2026-05-18T01:26:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2nDBIOhUeH6HxCpqGdO5sHcsANN685xb7rUrEglk4dZMD7hngBPayUauj/vftj79Wk4PL8tYflh6K+e2hxKJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:35:05.959209Z"},"content_sha256":"94d3cebad7d36a473b02911f30e6968648172d82b57864dafdf8cb0eb4694704","schema_version":"1.0","event_id":"sha256:94d3cebad7d36a473b02911f30e6968648172d82b57864dafdf8cb0eb4694704"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FBEVHE246FB6J43JTXLEMW75CW/bundle.json","state_url":"https://pith.science/pith/FBEVHE246FB6J43JTXLEMW75CW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FBEVHE246FB6J43JTXLEMW75CW/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":"2026-05-27T03:35:05Z","links":{"resolver":"https://pith.science/pith/FBEVHE246FB6J43JTXLEMW75CW","bundle":"https://pith.science/pith/FBEVHE246FB6J43JTXLEMW75CW/bundle.json","state":"https://pith.science/pith/FBEVHE246FB6J43JTXLEMW75CW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FBEVHE246FB6J43JTXLEMW75CW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FBEVHE246FB6J43JTXLEMW75CW","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":"2a1442b67a75857bbe03b768c13e1a85fb57180a1101a449329682aedd978cc1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-21T10:16:55Z","title_canon_sha256":"9cab0c8863c0e271a90203270ea4231a1959e6896ffca22a9e9bf8776b1fc951"},"schema_version":"1.0","source":{"id":"1107.4225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4225","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4225v2","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4225","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"pith_short_12","alias_value":"FBEVHE246FB6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FBEVHE246FB6J43J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FBEVHE24","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:94d3cebad7d36a473b02911f30e6968648172d82b57864dafdf8cb0eb4694704","target":"graph","created_at":"2026-05-18T01:26:19Z","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":"We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate $r$. We consider several generalisations of the model of M. R. Evans and S. N. Majumdar (2011), Diffusion with stochastic resetting, Phys. Rev. Lett. 106, 160601: (i) a space dependent resetting rate $r(x)$ ii) resetting to a random position $z$ drawn from a resetting distribution ${\\cal P}(z)$ iii) a spatial distribution for the absorbing target $P_T(x)$. As an example of (i) we show that the introduction of a non","authors_text":"Martin R. Evans, Satya N. Majumdar","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-21T10:16:55Z","title":"Diffusion with Optimal Resetting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4225","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":"sha256:478bc835a97499d58206f9eb1567390b5d7ef4ee1248e15ab54adc08c09c3f4f","target":"record","created_at":"2026-05-18T01:26:19Z","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":"2a1442b67a75857bbe03b768c13e1a85fb57180a1101a449329682aedd978cc1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-21T10:16:55Z","title_canon_sha256":"9cab0c8863c0e271a90203270ea4231a1959e6896ffca22a9e9bf8776b1fc951"},"schema_version":"1.0","source":{"id":"1107.4225","kind":"arxiv","version":2}},"canonical_sha256":"284953935cf143e4f3699dd6465bfd158baa7ab98c388847cdebbd5a1bcfd788","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"284953935cf143e4f3699dd6465bfd158baa7ab98c388847cdebbd5a1bcfd788","first_computed_at":"2026-05-18T01:26:19.327707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:19.327707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cftQqSmjGbojiBTHMbpFMaNujToFdp5+PfRYJ5VhcGORJE3gzIGzIPR3nORZCA90Fbfn5yneaZ9AYTLxJHPXDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:19.328141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478bc835a97499d58206f9eb1567390b5d7ef4ee1248e15ab54adc08c09c3f4f","sha256:94d3cebad7d36a473b02911f30e6968648172d82b57864dafdf8cb0eb4694704"],"state_sha256":"a2a91998b75cf4229d0f0c4642e3b77120a65481c709d45464162e834cfa239c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKaCYIWnzZBZlWaQyt7R1Q7CqCN0uBK5lGY003llOJChoqPEK/oEGKdXm4mQsiXAIAwCYDjQ5u4Jk+GpWjSvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:35:05.962538Z","bundle_sha256":"7e0b358581c113782917be9123025c84ee5ca60b0517eab34c9f9e9d9fe6a208"}}