{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3A7AVVCYPQEH4IPQTSJRTBRZDX","short_pith_number":"pith:3A7AVVCY","canonical_record":{"source":{"id":"1306.3698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-06-16T19:05:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"623fa2251e17838da61fa25a913bd644708c9c0d7d716e09b05f42763e664ea7","abstract_canon_sha256":"672ee50179e92db3ac94ff668ca02938afd27b42b7018919ccb3361afe1b57da"},"schema_version":"1.0"},"canonical_sha256":"d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24","source":{"kind":"arxiv","id":"1306.3698","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3698","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3698v2","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3698","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"pith_short_12","alias_value":"3A7AVVCYPQEH","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3A7AVVCYPQEH4IPQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3A7AVVCY","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3A7AVVCYPQEH4IPQTSJRTBRZDX","target":"record","payload":{"canonical_record":{"source":{"id":"1306.3698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-06-16T19:05:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"623fa2251e17838da61fa25a913bd644708c9c0d7d716e09b05f42763e664ea7","abstract_canon_sha256":"672ee50179e92db3ac94ff668ca02938afd27b42b7018919ccb3361afe1b57da"},"schema_version":"1.0"},"canonical_sha256":"d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:25.255716Z","signature_b64":"gwkbuA6PpC+YfuaoHFypU7Kbjteg/MfqiN8tp78/K2oTwwKE42cpFRQkomvOTZB4mPdFQ18Rkl+AMqXlv/MXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24","last_reissued_at":"2026-05-18T01:22:25.254930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:25.254930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.3698","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qdJalK7Tf1JXxvkMVszXqdqFgabndfbpNGmjW4yU/mLLIspMi2PGtMgS9LaLEyq+/Sxlgmsf8I9pKhjaHVaLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:10:46.839146Z"},"content_sha256":"02a347234bf3054c412a5f4954b69b9e9a821e0570530f6e481e4e1c6573f3a0","schema_version":"1.0","event_id":"sha256:02a347234bf3054c412a5f4954b69b9e9a821e0570530f6e481e4e1c6573f3a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3A7AVVCYPQEH4IPQTSJRTBRZDX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Johnson Cokernel and the Enomoto-Satoh invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Jim Conant","submitted_at":"2013-06-16T19:05:21Z","abstract_excerpt":"We study the cokernel of the Johnson homomorphism for the mapping class group of a surface with one boundary component. A graphical trace map simultaneously generalizing trace maps of Enomoto-Satoh and Conant-Kassabov-Vogtmann is given, and using technology from the author's work with Kassabov and Vogtmann, this is is shown to detect a large family of representations which vastly generalizes series due to Morita and Enomoto-Satoh. The Enomoto-Satoh trace is the rank 1 part of the new trace. The rank 2 part is also investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3698","kind":"arxiv","version":2},"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":"2026-05-18T01:22:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsDzQcuqm0FRGe3yfy6ZwXeVzr7QxVIU07zy7YPQ0FE7BVW4oq7tdzOyaclcmetYNHkHW/qhEeVqpsEymO6nCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:10:46.839519Z"},"content_sha256":"73d7cbcd4aafe931d75814384f1cb600bf7d3e1ad5e48d8e9322150458872f6d","schema_version":"1.0","event_id":"sha256:73d7cbcd4aafe931d75814384f1cb600bf7d3e1ad5e48d8e9322150458872f6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/bundle.json","state_url":"https://pith.science/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/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":"2026-06-24T19:10:46Z","links":{"resolver":"https://pith.science/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX","bundle":"https://pith.science/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/bundle.json","state":"https://pith.science/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3A7AVVCYPQEH4IPQTSJRTBRZDX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3A7AVVCYPQEH4IPQTSJRTBRZDX","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":"672ee50179e92db3ac94ff668ca02938afd27b42b7018919ccb3361afe1b57da","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-06-16T19:05:21Z","title_canon_sha256":"623fa2251e17838da61fa25a913bd644708c9c0d7d716e09b05f42763e664ea7"},"schema_version":"1.0","source":{"id":"1306.3698","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3698","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3698v2","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3698","created_at":"2026-05-18T01:22:25Z"},{"alias_kind":"pith_short_12","alias_value":"3A7AVVCYPQEH","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3A7AVVCYPQEH4IPQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3A7AVVCY","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:73d7cbcd4aafe931d75814384f1cb600bf7d3e1ad5e48d8e9322150458872f6d","target":"graph","created_at":"2026-05-18T01:22:25Z","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":"We study the cokernel of the Johnson homomorphism for the mapping class group of a surface with one boundary component. A graphical trace map simultaneously generalizing trace maps of Enomoto-Satoh and Conant-Kassabov-Vogtmann is given, and using technology from the author's work with Kassabov and Vogtmann, this is is shown to detect a large family of representations which vastly generalizes series due to Morita and Enomoto-Satoh. The Enomoto-Satoh trace is the rank 1 part of the new trace. The rank 2 part is also investigated.","authors_text":"Jim Conant","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-06-16T19:05:21Z","title":"The Johnson Cokernel and the Enomoto-Satoh invariant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3698","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":"sha256:02a347234bf3054c412a5f4954b69b9e9a821e0570530f6e481e4e1c6573f3a0","target":"record","created_at":"2026-05-18T01:22:25Z","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":"672ee50179e92db3ac94ff668ca02938afd27b42b7018919ccb3361afe1b57da","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-06-16T19:05:21Z","title_canon_sha256":"623fa2251e17838da61fa25a913bd644708c9c0d7d716e09b05f42763e664ea7"},"schema_version":"1.0","source":{"id":"1306.3698","kind":"arxiv","version":2}},"canonical_sha256":"d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24","first_computed_at":"2026-05-18T01:22:25.254930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:25.254930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gwkbuA6PpC+YfuaoHFypU7Kbjteg/MfqiN8tp78/K2oTwwKE42cpFRQkomvOTZB4mPdFQ18Rkl+AMqXlv/MXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:25.255716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3698","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02a347234bf3054c412a5f4954b69b9e9a821e0570530f6e481e4e1c6573f3a0","sha256:73d7cbcd4aafe931d75814384f1cb600bf7d3e1ad5e48d8e9322150458872f6d"],"state_sha256":"cc052770359f1dd2caa558fd939a7488254d38026f8f507441d24fc53c9c6ce6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K3MYnHSzX38buZUUrPajxNffKyhvz0oylwl2NWyFnvA+MKkQDSKTqmk+M+XDFyX070s30Nq+m7IyrK19yN+BCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:10:46.841501Z","bundle_sha256":"562caad912e451d82835a6be40b2c17bfb717d8cff89b61d595777fc9cad3acf"}}