{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7BJPZBRNZST436NYEWQEYHZMY3","short_pith_number":"pith:7BJPZBRN","canonical_record":{"source":{"id":"1310.2537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-09T16:30:27Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"acb2f0f817840c380ea899c956089069626e53401a3b00f165c65c723b6e1efc","abstract_canon_sha256":"c8f540b2de0cf9b34cc184a4995e771db6a609f2a269bebf5c5b8b0c7e16b12b"},"schema_version":"1.0"},"canonical_sha256":"f852fc862dcca7cdf9b825a04c1f2cc6d19ac48ad1a15e48cde03d478157a15b","source":{"kind":"arxiv","id":"1310.2537","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7BJPZBRNZST436NYEWQEYHZMY3","target":"record","payload":{"canonical_record":{"source":{"id":"1310.2537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-10-09T16:30:27Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"acb2f0f817840c380ea899c956089069626e53401a3b00f165c65c723b6e1efc","abstract_canon_sha256":"c8f540b2de0cf9b34cc184a4995e771db6a609f2a269bebf5c5b8b0c7e16b12b"},"schema_version":"1.0"},"canonical_sha256":"f852fc862dcca7cdf9b825a04c1f2cc6d19ac48ad1a15e48cde03d478157a15b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:24.823085Z","signature_b64":"wEJNx5gqo9HCgphkWh3j6HaNftzrNIialAgircEiXrMToLqUZ4YoyyeSSzWXHJc267+G5NYSDZfEDsCFEnHBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f852fc862dcca7cdf9b825a04c1f2cc6d19ac48ad1a15e48cde03d478157a15b","last_reissued_at":"2026-05-18T01:22:24.822468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:24.822468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.2537","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DdTPqSU6SflD1K+IXyT8AfF+eZtmYAy/nXkRUTwJ9JRUGv++tL4L1TRUSGgA7xQcDvInUHWBXowWdqgB8XVSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T18:30:11.640468Z"},"content_sha256":"8f63bbb1f26112348349e141f162c72e9db45eff48a1c6955471b9c78bb56fe7","schema_version":"1.0","event_id":"sha256:8f63bbb1f26112348349e141f162c72e9db45eff48a1c6955471b9c78bb56fe7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7BJPZBRNZST436NYEWQEYHZMY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Chillingworth Class is a Signed Stable Length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Ingrid Irmer","submitted_at":"2013-10-09T16:30:27Z","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\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2537","kind":"arxiv","version":3},"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":"2026-05-18T01:22:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBpLARGkBFpPYcGLR3N4iv1MNf2X5nuOBfYBATToPbKMIAUyzaCrZeQpRUbkM1cMGkQDX1G1EJ2ZkTFKKI2kCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T18:30:11.640817Z"},"content_sha256":"b2ba19aa649e7026070caee6110415d6e6f0793f844f4bdda3d07b54beb2b8bb","schema_version":"1.0","event_id":"sha256:b2ba19aa649e7026070caee6110415d6e6f0793f844f4bdda3d07b54beb2b8bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BJPZBRNZST436NYEWQEYHZMY3/bundle.json","state_url":"https://pith.science/pith/7BJPZBRNZST436NYEWQEYHZMY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BJPZBRNZST436NYEWQEYHZMY3/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":"2026-07-02T18:30:11Z","links":{"resolver":"https://pith.science/pith/7BJPZBRNZST436NYEWQEYHZMY3","bundle":"https://pith.science/pith/7BJPZBRNZST436NYEWQEYHZMY3/bundle.json","state":"https://pith.science/pith/7BJPZBRNZST436NYEWQEYHZMY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BJPZBRNZST436NYEWQEYHZMY3/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a0X44GuUGGVJrdA9OcxuynePW4zLxc2qORhJU3EeJR3s7ppRc5qewz2QjFoREpBzZJjGumIVN3y0vjHh8sg2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T18:30:11.642903Z","bundle_sha256":"f1c285aad9e89a5dd688e904a488635736c4f9e09431151f15ea9c08e196bff3"}}