{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L2YKPCUJD3OQWGYWCDU5FRHVCI","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":"a2731b6fc8143e9f1e2a6e09289c40dcc114faa71ff596354ad1e48140cd682d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-08T09:50:58Z","title_canon_sha256":"1f40d22b27a565ae0fd60d498d96c6609792e33e54a9a5233a12d7e5ad59b66d"},"schema_version":"1.0","source":{"id":"1603.02448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02448","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02448v2","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02448","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"L2YKPCUJD3OQ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L2YKPCUJD3OQWGYW","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L2YKPCUJ","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:2fe64a5c32d189256640d0b78ed2a50c0d7af41aebbd468f44c64ec4ad205f3c","target":"graph","created_at":"2026-05-18T00:41:42Z","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":"In this paper we consider the one dimensional spring-block model describing earthquake faulting. By using geometric singular perturbation theory and the blow-up method we provide a detailed description of the periodicity of the earthquake episodes. In particular, the limit cycles arise from a degenerate Hopf bifurcation whose degeneracy is due to an underlying Hamiltonian structure that leads to large amplitude oscillations. We use a Poincar\\'e compactification to study the system near infinity. At infinity the critical manifold loses hyperbolicity with an exponential rate. We use an adaptatio","authors_text":"Elena Bossolini, Kristian Uldall Kristiansen, Morten Br{\\o}ns","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-08T09:50:58Z","title":"Singular limit analysis of a model for earthquake faulting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02448","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:dd11afb007fa96f275be9eee5168343dfcbfa5d84ac6d425561b1186dfe311f8","target":"record","created_at":"2026-05-18T00:41:42Z","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":"a2731b6fc8143e9f1e2a6e09289c40dcc114faa71ff596354ad1e48140cd682d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-08T09:50:58Z","title_canon_sha256":"1f40d22b27a565ae0fd60d498d96c6609792e33e54a9a5233a12d7e5ad59b66d"},"schema_version":"1.0","source":{"id":"1603.02448","kind":"arxiv","version":2}},"canonical_sha256":"5eb0a78a891edd0b1b1610e9d2c4f512297c0da12da109947a478f020e614f27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eb0a78a891edd0b1b1610e9d2c4f512297c0da12da109947a478f020e614f27","first_computed_at":"2026-05-18T00:41:42.012641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:42.012641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"poBTg6n1pjlv1dKkhCvKdoisgaSoS7e56PI5rviLSY/JWuUsaD7hf247IilEu/iqu7rlOnvCp6aub4zUyOfZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:42.013289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd11afb007fa96f275be9eee5168343dfcbfa5d84ac6d425561b1186dfe311f8","sha256:2fe64a5c32d189256640d0b78ed2a50c0d7af41aebbd468f44c64ec4ad205f3c"],"state_sha256":"93365aef8a7a7cdb340b50cee0adfb1a049ade9092145976104c1377b302c790"}