{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WXZSTMBGHPPIVJ47TMFURM2GJH","short_pith_number":"pith:WXZSTMBG","canonical_record":{"source":{"id":"1107.3331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-07-17T20:30:58Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"8e9d4f5c4e03b4c4626212ea45adb1f51879b832676e87f3681d508c921a6466","abstract_canon_sha256":"13a7349b0327e9381737ac94dc373b8321de11bae9692443c01954c6e4b1eff2"},"schema_version":"1.0"},"canonical_sha256":"b5f329b0263bde8aa79f9b0b48b34649e8642f987ce98101c409cc8e650e82a3","source":{"kind":"arxiv","id":"1107.3331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3331","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3331v1","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3331","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"WXZSTMBGHPPI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WXZSTMBGHPPIVJ47","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WXZSTMBG","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WXZSTMBGHPPIVJ47TMFURM2GJH","target":"record","payload":{"canonical_record":{"source":{"id":"1107.3331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-07-17T20:30:58Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"8e9d4f5c4e03b4c4626212ea45adb1f51879b832676e87f3681d508c921a6466","abstract_canon_sha256":"13a7349b0327e9381737ac94dc373b8321de11bae9692443c01954c6e4b1eff2"},"schema_version":"1.0"},"canonical_sha256":"b5f329b0263bde8aa79f9b0b48b34649e8642f987ce98101c409cc8e650e82a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:03.309125Z","signature_b64":"wChh1Fhaah51COSXxaPcptu3hSmHOo15UdB4kE+D7bT7mXvf8T7UGkQbwotmSEBSw/NaIdYo9qv7COZ91Yz4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5f329b0263bde8aa79f9b0b48b34649e8642f987ce98101c409cc8e650e82a3","last_reissued_at":"2026-05-18T04:18:03.308599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:03.308599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.3331","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPHPc1kP57C7E0AVPxLnE7Fa0AwBtnxi4O4Ou4M0zHu5qf/eq0YUAJWKnNLjdmJpV9vaqn0CbRmWg1FiTtNtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:41:12.194222Z"},"content_sha256":"55cb37b8e5ce9330e21b0d3592afc43c369c819f2c06a26817196d71ea2fc39a","schema_version":"1.0","event_id":"sha256:55cb37b8e5ce9330e21b0d3592afc43c369c819f2c06a26817196d71ea2fc39a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WXZSTMBGHPPIVJ47TMFURM2GJH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical speed-up vs critical slow-down: a new kind of relaxation oscillation with application to stick-slip phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.geo-ph","authors_text":"Martine Le Berre, Yves Pomeau","submitted_at":"2011-07-17T20:30:58Z","abstract_excerpt":"The equations for the sliding of a single block driven by an elastic force show numerically a fast and a slow step in their dynamics when a dimensionless parameter is very large, a limit pertinent for many applications. An asymptotic analysis of the solutions explains well the two sharply different steps of the stick-slip dynamics. The stick (slow) part takes place along a slow manifold in the phase space. But, in contrast with standard relaxation dynamics (of van der Pol type), the slow manifold is always formally attracting and the transition from slow to fast dynamics occurs because the slo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3331","kind":"arxiv","version":1},"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":"2026-05-18T04:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"njm/Kew6qkkQd+hnjjBp6XRObPTEXzFRfrJm1ydCNyx7XnTrj6U4BMlyp2gNLAb/VgZPKTvU9gC78jwhFzF/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:41:12.194591Z"},"content_sha256":"9d306f0d716af75ebfb24c7f5d48c2b5e51e0066b2097297489b3cccdc6fe510","schema_version":"1.0","event_id":"sha256:9d306f0d716af75ebfb24c7f5d48c2b5e51e0066b2097297489b3cccdc6fe510"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/bundle.json","state_url":"https://pith.science/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/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":"2026-06-01T13:41:12Z","links":{"resolver":"https://pith.science/pith/WXZSTMBGHPPIVJ47TMFURM2GJH","bundle":"https://pith.science/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/bundle.json","state":"https://pith.science/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXZSTMBGHPPIVJ47TMFURM2GJH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WXZSTMBGHPPIVJ47TMFURM2GJH","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":"13a7349b0327e9381737ac94dc373b8321de11bae9692443c01954c6e4b1eff2","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-07-17T20:30:58Z","title_canon_sha256":"8e9d4f5c4e03b4c4626212ea45adb1f51879b832676e87f3681d508c921a6466"},"schema_version":"1.0","source":{"id":"1107.3331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3331","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3331v1","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3331","created_at":"2026-05-18T04:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"WXZSTMBGHPPI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WXZSTMBGHPPIVJ47","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WXZSTMBG","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:9d306f0d716af75ebfb24c7f5d48c2b5e51e0066b2097297489b3cccdc6fe510","target":"graph","created_at":"2026-05-18T04:18:03Z","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":"The equations for the sliding of a single block driven by an elastic force show numerically a fast and a slow step in their dynamics when a dimensionless parameter is very large, a limit pertinent for many applications. An asymptotic analysis of the solutions explains well the two sharply different steps of the stick-slip dynamics. The stick (slow) part takes place along a slow manifold in the phase space. But, in contrast with standard relaxation dynamics (of van der Pol type), the slow manifold is always formally attracting and the transition from slow to fast dynamics occurs because the slo","authors_text":"Martine Le Berre, Yves Pomeau","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-07-17T20:30:58Z","title":"Critical speed-up vs critical slow-down: a new kind of relaxation oscillation with application to stick-slip phenomena"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3331","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":"sha256:55cb37b8e5ce9330e21b0d3592afc43c369c819f2c06a26817196d71ea2fc39a","target":"record","created_at":"2026-05-18T04:18:03Z","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":"13a7349b0327e9381737ac94dc373b8321de11bae9692443c01954c6e4b1eff2","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2011-07-17T20:30:58Z","title_canon_sha256":"8e9d4f5c4e03b4c4626212ea45adb1f51879b832676e87f3681d508c921a6466"},"schema_version":"1.0","source":{"id":"1107.3331","kind":"arxiv","version":1}},"canonical_sha256":"b5f329b0263bde8aa79f9b0b48b34649e8642f987ce98101c409cc8e650e82a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5f329b0263bde8aa79f9b0b48b34649e8642f987ce98101c409cc8e650e82a3","first_computed_at":"2026-05-18T04:18:03.308599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:03.308599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wChh1Fhaah51COSXxaPcptu3hSmHOo15UdB4kE+D7bT7mXvf8T7UGkQbwotmSEBSw/NaIdYo9qv7COZ91Yz4AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:03.309125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55cb37b8e5ce9330e21b0d3592afc43c369c819f2c06a26817196d71ea2fc39a","sha256:9d306f0d716af75ebfb24c7f5d48c2b5e51e0066b2097297489b3cccdc6fe510"],"state_sha256":"d524066b8c6afc723b49c9a9b256f8aa7c1b3f86883e7b14ed1fcd385aabf136"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xM72Kt7fimRddvbbXygaSiAnhTj3TLWGRDUo3jMGJz8DyVPZV3KFe+U07QY3mGTMkEy1XgL7Km0M9saAP70pAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:41:12.196523Z","bundle_sha256":"61fbc9df026f431032f8979a3494c3ad8b2097fe0e272a33f1e530860ad115b7"}}