{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:7BIZPZUDK5ORWJ2PBNCYU6Y2QS","short_pith_number":"pith:7BIZPZUD","schema_version":"1.0","canonical_sha256":"f85197e683575d1b274f0b458a7b1a8499106353511f651c676a491c6cad89f5","source":{"kind":"arxiv","id":"math/0606432","version":1},"attestation_state":"computed","paper":{"title":"Some problems on mapping class groups and moduli space","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Benson Farb","submitted_at":"2006-06-19T01:33:02Z","abstract_excerpt":"This paper presents a number of problems about mapping class groups and moduli space. The paper will appear in the book \"Problems on Mapping Class Groups and Related Topics\", ed. by B. Farb, Proc. Symp. Pure Math. series, Amer. Math. Soc."},"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":"math/0606432","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2006-06-19T01:33:02Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"d605def4c71bb7e214a2193d48f637417cf5725b37c0880d2f900d2a130a39cf","abstract_canon_sha256":"4a9208cd1c5f1592021caf2d24847b197be639897d320caca2cf6d0089d49f39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:55:31.551586Z","signature_b64":"CWcnHlL0PuCesUVIMlGqXSKAY0fcWe9Yah3lQSaRAOWAvtFUKXPCAmowDFitT8Jr/Y3yjWeBVTUmri/W/9uMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f85197e683575d1b274f0b458a7b1a8499106353511f651c676a491c6cad89f5","last_reissued_at":"2026-07-04T14:55:31.551225Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:55:31.551225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some problems on mapping class groups and moduli space","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Benson Farb","submitted_at":"2006-06-19T01:33:02Z","abstract_excerpt":"This paper presents a number of problems about mapping class groups and moduli space. The paper will appear in the book \"Problems on Mapping Class Groups and Related Topics\", ed. by B. Farb, Proc. Symp. Pure Math. series, Amer. Math. Soc."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0606432","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0606432/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0606432","created_at":"2026-07-04T14:55:31.551284+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0606432v1","created_at":"2026-07-04T14:55:31.551284+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0606432","created_at":"2026-07-04T14:55:31.551284+00:00"},{"alias_kind":"pith_short_12","alias_value":"7BIZPZUDK5OR","created_at":"2026-07-04T14:55:31.551284+00:00"},{"alias_kind":"pith_short_16","alias_value":"7BIZPZUDK5ORWJ2P","created_at":"2026-07-04T14:55:31.551284+00:00"},{"alias_kind":"pith_short_8","alias_value":"7BIZPZUD","created_at":"2026-07-04T14:55:31.551284+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.13517","citing_title":"Finite generation, algebraicity, and representation stability for homology of Torelli groups","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS","json":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS.json","graph_json":"https://pith.science/api/pith-number/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/graph.json","events_json":"https://pith.science/api/pith-number/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/events.json","paper":"https://pith.science/paper/7BIZPZUD"},"agent_actions":{"view_html":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS","download_json":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS.json","view_paper":"https://pith.science/paper/7BIZPZUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0606432&json=true","fetch_graph":"https://pith.science/api/pith-number/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/graph.json","fetch_events":"https://pith.science/api/pith-number/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/action/storage_attestation","attest_author":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/action/author_attestation","sign_citation":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/action/citation_signature","submit_replication":"https://pith.science/pith/7BIZPZUDK5ORWJ2PBNCYU6Y2QS/action/replication_record"}},"created_at":"2026-07-04T14:55:31.551284+00:00","updated_at":"2026-07-04T14:55:31.551284+00:00"}