{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:R6VBQBHHUOFXHH7DJTNIWI4EQR","short_pith_number":"pith:R6VBQBHH","schema_version":"1.0","canonical_sha256":"8faa1804e7a38b739fe34cda8b2384847114c3b10fcd9b36b63f3101925bda4d","source":{"kind":"arxiv","id":"1106.3294","version":2},"attestation_state":"computed","paper":{"title":"Small generating sets for the Torelli group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Andrew Putman","submitted_at":"2011-06-16T18:15:55Z","abstract_excerpt":"Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the mapping class group has a finite generating set whose size grows cubically with respect to the genus of the surface. Our main tool is a new space called the handle graph on which the Torelli group acts cocompactly."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.3294","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-16T18:15:55Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"d8f1c526876f257b3c980503eb139e84b5c81c9906fd386650322cad7e84ddc8","abstract_canon_sha256":"8ef08e7f6a9668b32cc66ecad6c08fe6613de266e63d2ae5ff7489155a5fb011"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:18.100296Z","signature_b64":"X21byezI7i/SwZEwDi0ubird7xOR6ETOjXTnuRJ/J8rRF8k05LshganB0DXVZR8rkK+mDi+VTTzS/79FkzyoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8faa1804e7a38b739fe34cda8b2384847114c3b10fcd9b36b63f3101925bda4d","last_reissued_at":"2026-05-18T02:38:18.099646Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:18.099646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Small generating sets for the Torelli group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Andrew Putman","submitted_at":"2011-06-16T18:15:55Z","abstract_excerpt":"Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the mapping class group has a finite generating set whose size grows cubically with respect to the genus of the surface. Our main tool is a new space called the handle graph on which the Torelli group acts cocompactly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3294","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.3294","created_at":"2026-05-18T02:38:18.099751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.3294v2","created_at":"2026-05-18T02:38:18.099751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3294","created_at":"2026-05-18T02:38:18.099751+00:00"},{"alias_kind":"pith_short_12","alias_value":"R6VBQBHHUOFX","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"R6VBQBHHUOFXHH7D","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"R6VBQBHH","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR","json":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR.json","graph_json":"https://pith.science/api/pith-number/R6VBQBHHUOFXHH7DJTNIWI4EQR/graph.json","events_json":"https://pith.science/api/pith-number/R6VBQBHHUOFXHH7DJTNIWI4EQR/events.json","paper":"https://pith.science/paper/R6VBQBHH"},"agent_actions":{"view_html":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR","download_json":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR.json","view_paper":"https://pith.science/paper/R6VBQBHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.3294&json=true","fetch_graph":"https://pith.science/api/pith-number/R6VBQBHHUOFXHH7DJTNIWI4EQR/graph.json","fetch_events":"https://pith.science/api/pith-number/R6VBQBHHUOFXHH7DJTNIWI4EQR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR/action/storage_attestation","attest_author":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR/action/author_attestation","sign_citation":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR/action/citation_signature","submit_replication":"https://pith.science/pith/R6VBQBHHUOFXHH7DJTNIWI4EQR/action/replication_record"}},"created_at":"2026-05-18T02:38:18.099751+00:00","updated_at":"2026-05-18T02:38:18.099751+00:00"}