{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7BJPZBRNZST436NYEWQEYHZMY3","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":"c8f540b2de0cf9b34cc184a4995e771db6a609f2a269bebf5c5b8b0c7e16b12b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-09T16:30:27Z","title_canon_sha256":"acb2f0f817840c380ea899c956089069626e53401a3b00f165c65c723b6e1efc"},"schema_version":"1.0","source":{"id":"1310.2537","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2537","created_at":"2026-05-18T01:22:24Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2537v3","created_at":"2026-05-18T01:22:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2537","created_at":"2026-05-18T01:22:24Z"},{"alias_kind":"pith_short_12","alias_value":"7BJPZBRNZST4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7BJPZBRNZST436NY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7BJPZBRN","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:b2ba19aa649e7026070caee6110415d6e6f0793f844f4bdda3d07b54beb2b8bb","target":"graph","created_at":"2026-05-18T01:22:24Z","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":"An orientation is defined on a family of curve graphs on which the Torelli group acts. It is shown that the resulting signed stable length of an element of the Torelli group is a cohomology class. This cohomology class is half the dual of the contraction of the Johnson homomorphism, the socalled \"Chillingworth class\".","authors_text":"Ingrid Irmer","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-09T16:30:27Z","title":"The Chillingworth Class is a Signed Stable Length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2537","kind":"arxiv","version":3},"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":"sha256:8f63bbb1f26112348349e141f162c72e9db45eff48a1c6955471b9c78bb56fe7","target":"record","created_at":"2026-05-18T01:22:24Z","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":"c8f540b2de0cf9b34cc184a4995e771db6a609f2a269bebf5c5b8b0c7e16b12b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-09T16:30:27Z","title_canon_sha256":"acb2f0f817840c380ea899c956089069626e53401a3b00f165c65c723b6e1efc"},"schema_version":"1.0","source":{"id":"1310.2537","kind":"arxiv","version":3}},"canonical_sha256":"f852fc862dcca7cdf9b825a04c1f2cc6d19ac48ad1a15e48cde03d478157a15b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f852fc862dcca7cdf9b825a04c1f2cc6d19ac48ad1a15e48cde03d478157a15b","first_computed_at":"2026-05-18T01:22:24.822468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:24.822468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wEJNx5gqo9HCgphkWh3j6HaNftzrNIialAgircEiXrMToLqUZ4YoyyeSSzWXHJc267+G5NYSDZfEDsCFEnHBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:24.823085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2537","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f63bbb1f26112348349e141f162c72e9db45eff48a1c6955471b9c78bb56fe7","sha256:b2ba19aa649e7026070caee6110415d6e6f0793f844f4bdda3d07b54beb2b8bb"],"state_sha256":"0ed38d16c12b6a3ddd9a3c8289d6fe9c30db64abcffabe5d4449ae5b56a7e505"}