{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:MFDQUMDXNVCMBCPV6CC73QEFN3","short_pith_number":"pith:MFDQUMDX","canonical_record":{"source":{"id":"cond-mat/0101253","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-17T07:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"cf530dc14b39fb2e3c6dc55b88f4b4006548d868471f0142f0ed7f38176cb7f2","abstract_canon_sha256":"63521928b7d80c8a01196cc34b966002ce11b65c9d97132c4fdb4690a644810d"},"schema_version":"1.0"},"canonical_sha256":"61470a30776d44c089f5f085fdc0856ef8568a1bcd584b4f2e0d0a2a7d2fb364","source":{"kind":"arxiv","id":"cond-mat/0101253","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0101253","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0101253v2","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0101253","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"pith_short_12","alias_value":"MFDQUMDXNVCM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MFDQUMDXNVCMBCPV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MFDQUMDX","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:MFDQUMDXNVCMBCPV6CC73QEFN3","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0101253","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-17T07:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"cf530dc14b39fb2e3c6dc55b88f4b4006548d868471f0142f0ed7f38176cb7f2","abstract_canon_sha256":"63521928b7d80c8a01196cc34b966002ce11b65c9d97132c4fdb4690a644810d"},"schema_version":"1.0"},"canonical_sha256":"61470a30776d44c089f5f085fdc0856ef8568a1bcd584b4f2e0d0a2a7d2fb364","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:03.543440Z","signature_b64":"GgdhooiGdXRf9AXzWx2SzjnBBIFAgfdvUeYIBYaEFxMMMY+AkhWhjHVSe5e9/WqC+NMn95YdeNp8iqEiy8x3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61470a30776d44c089f5f085fdc0856ef8568a1bcd584b4f2e0d0a2a7d2fb364","last_reissued_at":"2026-05-18T01:07:03.542856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:03.542856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0101253","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":"2026-05-18T01:07:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5F0PcHN5kRo+tjX4zZpZw2VK5VDrr+kbxsdIqXmmxpvC6RuA9M6M/81eZIcUI5tYUEHkICQ7VQyE2zQGA460DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:09:14.327153Z"},"content_sha256":"fcaa6964762b34bc91522fdfe999569dd03f93a116a5bd46dbcb942fe6004673","schema_version":"1.0","event_id":"sha256:fcaa6964762b34bc91522fdfe999569dd03f93a116a5bd46dbcb942fe6004673"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:MFDQUMDXNVCMBCPV6CC73QEFN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution of a class of one-dimensional reaction-diffusion models in disordered media","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. Mobilia, P.-A. Bares","submitted_at":"2001-01-17T07:26:17Z","abstract_excerpt":"We study a one-dimensional class of reaction-diffusion models on a\n $10-$parameters manifold. The equations of motion of the correlation functions close on this manifold. We compute exactly the long-time behaviour of the density and correlation functions for\n {\\it quenched} disordered systems. The {\\it quenched} disorder consists of disconnected domains of reaction. We first consider the case where the disorder comprizes a superposition, with different probabilistic weights, of finite segments, with {\\it periodic boundary conditions}. We then pass to the case of finite segments with {\\it open "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0101253","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":"2026-05-18T01:07:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2yDwkJzwLNXYgNveZn3p7KEV9kEjY3mWJgjplP8Deqpmu6M5KGgwKuEjBNDscnznFAYo6jm+7BnkusxkzFJ4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:09:14.327510Z"},"content_sha256":"97a0019bbb3bb20aff31fcd9ebd7e9d010b384877793945f3d7fda50d3f8d289","schema_version":"1.0","event_id":"sha256:97a0019bbb3bb20aff31fcd9ebd7e9d010b384877793945f3d7fda50d3f8d289"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/bundle.json","state_url":"https://pith.science/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/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":"2026-06-05T12:09:14Z","links":{"resolver":"https://pith.science/pith/MFDQUMDXNVCMBCPV6CC73QEFN3","bundle":"https://pith.science/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/bundle.json","state":"https://pith.science/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFDQUMDXNVCMBCPV6CC73QEFN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MFDQUMDXNVCMBCPV6CC73QEFN3","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":"63521928b7d80c8a01196cc34b966002ce11b65c9d97132c4fdb4690a644810d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-17T07:26:17Z","title_canon_sha256":"cf530dc14b39fb2e3c6dc55b88f4b4006548d868471f0142f0ed7f38176cb7f2"},"schema_version":"1.0","source":{"id":"cond-mat/0101253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0101253","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0101253v2","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0101253","created_at":"2026-05-18T01:07:03Z"},{"alias_kind":"pith_short_12","alias_value":"MFDQUMDXNVCM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MFDQUMDXNVCMBCPV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MFDQUMDX","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:97a0019bbb3bb20aff31fcd9ebd7e9d010b384877793945f3d7fda50d3f8d289","target":"graph","created_at":"2026-05-18T01:07:03Z","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 study a one-dimensional class of reaction-diffusion models on a\n $10-$parameters manifold. The equations of motion of the correlation functions close on this manifold. We compute exactly the long-time behaviour of the density and correlation functions for\n {\\it quenched} disordered systems. The {\\it quenched} disorder consists of disconnected domains of reaction. We first consider the case where the disorder comprizes a superposition, with different probabilistic weights, of finite segments, with {\\it periodic boundary conditions}. We then pass to the case of finite segments with {\\it open ","authors_text":"M. Mobilia, P.-A. Bares","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-17T07:26:17Z","title":"Solution of a class of one-dimensional reaction-diffusion models in disordered media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0101253","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:fcaa6964762b34bc91522fdfe999569dd03f93a116a5bd46dbcb942fe6004673","target":"record","created_at":"2026-05-18T01:07:03Z","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":"63521928b7d80c8a01196cc34b966002ce11b65c9d97132c4fdb4690a644810d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-17T07:26:17Z","title_canon_sha256":"cf530dc14b39fb2e3c6dc55b88f4b4006548d868471f0142f0ed7f38176cb7f2"},"schema_version":"1.0","source":{"id":"cond-mat/0101253","kind":"arxiv","version":2}},"canonical_sha256":"61470a30776d44c089f5f085fdc0856ef8568a1bcd584b4f2e0d0a2a7d2fb364","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61470a30776d44c089f5f085fdc0856ef8568a1bcd584b4f2e0d0a2a7d2fb364","first_computed_at":"2026-05-18T01:07:03.542856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:03.542856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GgdhooiGdXRf9AXzWx2SzjnBBIFAgfdvUeYIBYaEFxMMMY+AkhWhjHVSe5e9/WqC+NMn95YdeNp8iqEiy8x3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:03.543440Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0101253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcaa6964762b34bc91522fdfe999569dd03f93a116a5bd46dbcb942fe6004673","sha256:97a0019bbb3bb20aff31fcd9ebd7e9d010b384877793945f3d7fda50d3f8d289"],"state_sha256":"71a91d90d170da30bade0ddf1f83503cce44b8f765d6f77444f170890768d868"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utyeBpwgE1JLGvB7BpgYOgo/VBgaYZjZ9WhmdGm38yU3ws2hzRgfiu3G0NyYaHJJZ3othTdeGx+oAOifJvk0AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:09:14.329382Z","bundle_sha256":"663bfe5a7f885e98cdfc35e7845206d1e129fedbe97dededcd5328bff9c25220"}}