{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MKACUL4LTA7IRA6SCHKAINEAZO","short_pith_number":"pith:MKACUL4L","canonical_record":{"source":{"id":"1110.0448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-03T19:23:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e7878b4f3478734564773c92b6727b4745719570fdaa1d64073b3887bfecf8a5","abstract_canon_sha256":"b858038845998e664f219cff8f0cf99418d0b684860a8d18ff54c82c4ad9d6dd"},"schema_version":"1.0"},"canonical_sha256":"62802a2f8b983e8883d211d4043480cbbdbddfd45911a182b5f7c424025436b7","source":{"kind":"arxiv","id":"1110.0448","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0448","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0448v1","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0448","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"pith_short_12","alias_value":"MKACUL4LTA7I","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MKACUL4LTA7IRA6S","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MKACUL4L","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MKACUL4LTA7IRA6SCHKAINEAZO","target":"record","payload":{"canonical_record":{"source":{"id":"1110.0448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-03T19:23:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e7878b4f3478734564773c92b6727b4745719570fdaa1d64073b3887bfecf8a5","abstract_canon_sha256":"b858038845998e664f219cff8f0cf99418d0b684860a8d18ff54c82c4ad9d6dd"},"schema_version":"1.0"},"canonical_sha256":"62802a2f8b983e8883d211d4043480cbbdbddfd45911a182b5f7c424025436b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:49.912474Z","signature_b64":"zVl52nRyp9ZsVUc36Xi+k5efF3U+YK7jGbb8VUt4yzUI6tldom0D/MoBku49mKX3MEVeGD4r4IbVvthItkTyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62802a2f8b983e8883d211d4043480cbbdbddfd45911a182b5f7c424025436b7","last_reissued_at":"2026-05-18T04:11:49.911698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:49.911698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.0448","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":"2026-05-18T04:11:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"00fNJ69w5Uhv5hu8zKP9jBnIVghvWVtuZ+t3h2CI5d6xbCfbkkW25EkzGd+wwG9odIbuN8rFs12gUjPclWlAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:55:39.573371Z"},"content_sha256":"9167088f024c092757447c63f106b2aa89ef58cea91ee004f87b9df33420f7d9","schema_version":"1.0","event_id":"sha256:9167088f024c092757447c63f106b2aa89ef58cea91ee004f87b9df33420f7d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MKACUL4LTA7IRA6SCHKAINEAZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cohomology of the hyperelliptic Torelli group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GT","authors_text":"Dan Margalit, Leah Childers, Tara Brendle","submitted_at":"2011-10-03T19:23:25Z","abstract_excerpt":"Let SI(S_g) denote the hyperelliptic Torelli group of a closed surface S_g of genus g. This is the subgroup of the mapping class group of S_g consisting of elements that act trivially on H_1(S_g;Z) and that commute with some fixed hyperelliptic involution of S_g. We prove that the cohomological dimension of SI(S_g) is g-1 when g > 0. We also show that H_g-1(SI(S_g);Z) is infinitely generated when g > 1. In particular, SI(S_3) is not finitely presentable. Finally, we apply our main results to show that the kernel of the Burau representation of the braid group B_n at t = -1 has cohomological dim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0448","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":"2026-05-18T04:11:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COPlc9/l4vAfLcYRl3JZp1Pzql2yKvlVuEID2ymBySdM0wSFTrvA0bKX+eIDEC5B6C5aQHmvGZcoVhsMSXF8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:55:39.573715Z"},"content_sha256":"67cd7f84bf5d5d03c1175380d35ab0f75c621893b8f7dab66e9a46c790c54bd6","schema_version":"1.0","event_id":"sha256:67cd7f84bf5d5d03c1175380d35ab0f75c621893b8f7dab66e9a46c790c54bd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKACUL4LTA7IRA6SCHKAINEAZO/bundle.json","state_url":"https://pith.science/pith/MKACUL4LTA7IRA6SCHKAINEAZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKACUL4LTA7IRA6SCHKAINEAZO/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":"2026-06-04T19:55:39Z","links":{"resolver":"https://pith.science/pith/MKACUL4LTA7IRA6SCHKAINEAZO","bundle":"https://pith.science/pith/MKACUL4LTA7IRA6SCHKAINEAZO/bundle.json","state":"https://pith.science/pith/MKACUL4LTA7IRA6SCHKAINEAZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKACUL4LTA7IRA6SCHKAINEAZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MKACUL4LTA7IRA6SCHKAINEAZO","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":"b858038845998e664f219cff8f0cf99418d0b684860a8d18ff54c82c4ad9d6dd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-03T19:23:25Z","title_canon_sha256":"e7878b4f3478734564773c92b6727b4745719570fdaa1d64073b3887bfecf8a5"},"schema_version":"1.0","source":{"id":"1110.0448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0448","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0448v1","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0448","created_at":"2026-05-18T04:11:49Z"},{"alias_kind":"pith_short_12","alias_value":"MKACUL4LTA7I","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MKACUL4LTA7IRA6S","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MKACUL4L","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:67cd7f84bf5d5d03c1175380d35ab0f75c621893b8f7dab66e9a46c790c54bd6","target":"graph","created_at":"2026-05-18T04:11:49Z","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":"Let SI(S_g) denote the hyperelliptic Torelli group of a closed surface S_g of genus g. This is the subgroup of the mapping class group of S_g consisting of elements that act trivially on H_1(S_g;Z) and that commute with some fixed hyperelliptic involution of S_g. We prove that the cohomological dimension of SI(S_g) is g-1 when g > 0. We also show that H_g-1(SI(S_g);Z) is infinitely generated when g > 1. In particular, SI(S_3) is not finitely presentable. Finally, we apply our main results to show that the kernel of the Burau representation of the braid group B_n at t = -1 has cohomological dim","authors_text":"Dan Margalit, Leah Childers, Tara Brendle","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-03T19:23:25Z","title":"Cohomology of the hyperelliptic Torelli group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0448","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":"sha256:9167088f024c092757447c63f106b2aa89ef58cea91ee004f87b9df33420f7d9","target":"record","created_at":"2026-05-18T04:11:49Z","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":"b858038845998e664f219cff8f0cf99418d0b684860a8d18ff54c82c4ad9d6dd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-03T19:23:25Z","title_canon_sha256":"e7878b4f3478734564773c92b6727b4745719570fdaa1d64073b3887bfecf8a5"},"schema_version":"1.0","source":{"id":"1110.0448","kind":"arxiv","version":1}},"canonical_sha256":"62802a2f8b983e8883d211d4043480cbbdbddfd45911a182b5f7c424025436b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62802a2f8b983e8883d211d4043480cbbdbddfd45911a182b5f7c424025436b7","first_computed_at":"2026-05-18T04:11:49.911698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:49.911698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zVl52nRyp9ZsVUc36Xi+k5efF3U+YK7jGbb8VUt4yzUI6tldom0D/MoBku49mKX3MEVeGD4r4IbVvthItkTyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:49.912474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9167088f024c092757447c63f106b2aa89ef58cea91ee004f87b9df33420f7d9","sha256:67cd7f84bf5d5d03c1175380d35ab0f75c621893b8f7dab66e9a46c790c54bd6"],"state_sha256":"dc31229affdd78e72223338f016ca2107cc44144228e7c7a39db71922c4024a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5dSVrFYMuufXgYl/gA34uKlyyhHr5j56v3Ial4s2oXFqUnJoc9gxaErQmsCBZLm1wmREPQL3Xfh2CCTv7ezLCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:55:39.575674Z","bundle_sha256":"8ce92edef31fb81be0d9cada00084844648ceedd4b1519cbfc04e0647f1d4780"}}