{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JFFKE7ZCYD7EGVB7TL5P4QGWCY","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":"ed858de82f42cb54bf8ee2bb80af60ffdb73468acf32d35a0b920168f210d7ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2010-09-21T18:16:30Z","title_canon_sha256":"8c44a412c20837901384ecb54ba24f8c3160fc727f632d549417d98ad5826046"},"schema_version":"1.0","source":{"id":"1009.4166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4166","created_at":"2026-05-18T02:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4166v1","created_at":"2026-05-18T02:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4166","created_at":"2026-05-18T02:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"JFFKE7ZCYD7E","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JFFKE7ZCYD7EGVB7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JFFKE7ZC","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:0f9bf8065bc15a70ac1d6d50d87f1bf83f8f35265aaed2bdc2bd4101bd60e92c","target":"graph","created_at":"2026-05-18T02:05:19Z","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":"A variety of studies have modeled the physics of material deformation and damage as examples of generalized phase transitions, involving either critical phenomena or spinodal nucleation. Here we study a model for frictional sliding with long range interactions and recurrent damage that is parameterized by a process of damage and partial healing during sliding. We introduce a failure threshold weakening parameter into the cellular-automaton slider-block model which allows blocks to fail at a reduced failure threshold for all subsequent failures during an event. We show that a critical point is ","authors_text":"Donald L. Turcotte, James R. Holliday, John B. Rundle, Joseph D. Gran, William Klein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2010-09-21T18:16:30Z","title":"A damage model based on failure threshold weakening"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4166","kind":"arxiv","version":1},"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":"sha256:4f234de6e39eec0ec6265f89db84626e5f03caeb14b2aebae95d43c1690c8133","target":"record","created_at":"2026-05-18T02:05:19Z","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":"ed858de82f42cb54bf8ee2bb80af60ffdb73468acf32d35a0b920168f210d7ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2010-09-21T18:16:30Z","title_canon_sha256":"8c44a412c20837901384ecb54ba24f8c3160fc727f632d549417d98ad5826046"},"schema_version":"1.0","source":{"id":"1009.4166","kind":"arxiv","version":1}},"canonical_sha256":"494aa27f22c0fe43543f9afafe40d6161282f2376f825857b559c9757564220b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"494aa27f22c0fe43543f9afafe40d6161282f2376f825857b559c9757564220b","first_computed_at":"2026-05-18T02:05:19.124294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:19.124294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N1VP7iceNmvnWYXkp6wZe7k23qLmjfoxY2FpygZbFZh1TCpVTcU8k+oNsILajabLGc1lK+XJMZq9o4fif7KWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:19.124973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f234de6e39eec0ec6265f89db84626e5f03caeb14b2aebae95d43c1690c8133","sha256:0f9bf8065bc15a70ac1d6d50d87f1bf83f8f35265aaed2bdc2bd4101bd60e92c"],"state_sha256":"54a322751a5fac528c14345cf9d9784e922cb269c6bca90df48d7b7286141fdc"}