{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2O5F4WD2QXKGSJSXQU7OGSZR2F","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":"1218854136e5eb8e313057f3c7755c761e223675ce29e3551f0b2b0afa42db76","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-10T05:37:50Z","title_canon_sha256":"fcc75ff9c21099a69fdb4f329f6127d69bba536f766e74ff4cdb66a109b030ea"},"schema_version":"1.0","source":{"id":"1304.2845","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2845","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2845v2","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2845","created_at":"2026-05-18T03:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"2O5F4WD2QXKG","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2O5F4WD2QXKGSJSX","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2O5F4WD2","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:9ddd1c912f577ef34b1e8def217121648aedbd6eb2f1fe51a7047395bf29f102","target":"graph","created_at":"2026-05-18T03:13:21Z","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 present a toy charge density wave (CDW) model in 1d exhibiting a depinning transition with threshold force and configurations that are explicit. Due to the periodic boundary conditions imposed, the threshold configuration has a set of topological defects whose location and number depend on the realization of the random phases. Approaching threshold, these defects are relocated by avalanches whose size dependence on the external driving force $F$ is described by a record-breaking process. We find that the depinning transition in this model is a critical phenomenon, with the cumulative avalan","authors_text":"((1) Mathematics Department, (2) Physics Department, Berkeley, Bogazici University, David C. Kaspar (1), Istanbul), Muhittin Mungan (2), University of California","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-10T05:37:50Z","title":"Subthreshold behavior and avalanches in an exactly solvable Charge Density Wave system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2845","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":"sha256:9a0aa5390edef439d46b3dd9ae03a01b3c2e509010002ae89801c73c160986e7","target":"record","created_at":"2026-05-18T03:13:21Z","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":"1218854136e5eb8e313057f3c7755c761e223675ce29e3551f0b2b0afa42db76","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-10T05:37:50Z","title_canon_sha256":"fcc75ff9c21099a69fdb4f329f6127d69bba536f766e74ff4cdb66a109b030ea"},"schema_version":"1.0","source":{"id":"1304.2845","kind":"arxiv","version":2}},"canonical_sha256":"d3ba5e587a85d4692657853ee34b31d1650e91b8b7b04b9030dccaba564f3dd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3ba5e587a85d4692657853ee34b31d1650e91b8b7b04b9030dccaba564f3dd7","first_computed_at":"2026-05-18T03:13:21.480611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:21.480611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZPgGqx+u0mWhwlJiIq7lSRVeptW/xzbeYvLuUwJTUU5NIK7B47pu6U9oWJ8lyLnkVJmcfwRcm/jNUftRefgAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:21.481040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2845","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a0aa5390edef439d46b3dd9ae03a01b3c2e509010002ae89801c73c160986e7","sha256:9ddd1c912f577ef34b1e8def217121648aedbd6eb2f1fe51a7047395bf29f102"],"state_sha256":"8b4659a3b220396638775d2f07f381f35f5c9f82c7f703e1b3afb1ffd44eb3e3"}