{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IS734JQPXSIMQYMJBP4VFH6FXL","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":"b05e6abe8cc8d2b1838b6747b0f68cd3659e8cb620b60dd832dc6b61d38576ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-02-18T20:49:09Z","title_canon_sha256":"aa656cbdc2dd645f6a6942afc4f3ebcd4c13a3590788dd71131a7b3fa9b1197f"},"schema_version":"1.0","source":{"id":"1202.4104","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4104","created_at":"2026-05-18T02:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4104v3","created_at":"2026-05-18T02:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4104","created_at":"2026-05-18T02:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"IS734JQPXSIM","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IS734JQPXSIMQYMJ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IS734JQP","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:61b131558fafc7f3d1a43ed518f3f9eb98fa88d04412f5d0ee1c819e6ded60a9","target":"graph","created_at":"2026-05-18T02:55:57Z","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 introduce trap models on a finite volume $k$-level tree as a class of Markov jump processes with state space the leaves of that tree. They serve to describe the GREM-like trap model of Sasaki and Nemoto. Under suitable conditions on the parameters of the trap model, we establish its infinite volume limit, given by what we call a $K$-process in an infinite $k$-level tree. From this we deduce that the $K$-process also is the scaling limit of the GREM-like trap model on extreme time scales under a fine tuning assumption on the volumes.","authors_text":"L. R. G. Fontes, R. J. Gava, V. Gayrard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-02-18T20:49:09Z","title":"The K-process on a tree as a scaling limit of the GREM-like trap model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4104","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":"sha256:362d762569ac12b82678f94d4a998de6ae28eefc2da7a0fdff11af7be90db7d3","target":"record","created_at":"2026-05-18T02:55:57Z","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":"b05e6abe8cc8d2b1838b6747b0f68cd3659e8cb620b60dd832dc6b61d38576ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-02-18T20:49:09Z","title_canon_sha256":"aa656cbdc2dd645f6a6942afc4f3ebcd4c13a3590788dd71131a7b3fa9b1197f"},"schema_version":"1.0","source":{"id":"1202.4104","kind":"arxiv","version":3}},"canonical_sha256":"44bfbe260fbc90c861890bf9529fc5bac9f7a5e523d7c19b69996f2f28fba95f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44bfbe260fbc90c861890bf9529fc5bac9f7a5e523d7c19b69996f2f28fba95f","first_computed_at":"2026-05-18T02:55:57.667218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:57.667218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6uub6qirGJEBoeYHHzPtU48B5GRdYG9iNqrWA7pYJszTobNnjOWLDDFtSXa6W7A/q+SJpwUHhcMilrWal9RfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:57.667925Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4104","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:362d762569ac12b82678f94d4a998de6ae28eefc2da7a0fdff11af7be90db7d3","sha256:61b131558fafc7f3d1a43ed518f3f9eb98fa88d04412f5d0ee1c819e6ded60a9"],"state_sha256":"586899c7cb9dee80bcb4df4182b611cf999fdfea1697b33cb675362083b3fd8b"}