{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:SFDPJ22PTODOTW2ETKFDSRMPVL","short_pith_number":"pith:SFDPJ22P","schema_version":"1.0","canonical_sha256":"9146f4eb4f9b86e9db449a8a39458faacdbc0788e209c5018a533148f0956785","source":{"kind":"arxiv","id":"0908.0690","version":2},"attestation_state":"computed","paper":{"title":"On the dimension of CAT(0) spaces where mapping class groups act","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.GN","authors_text":"Martin R Bridson","submitted_at":"2009-08-05T15:38:15Z","abstract_excerpt":"Whenever the mapping class group of a closed orientable surface of genus g acts by semisimple isometries on a complete CAT(0) space of dimension less than g it fixes a point."},"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":"0908.0690","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2009-08-05T15:38:15Z","cross_cats_sorted":["math.GR","math.GT"],"title_canon_sha256":"34f1b5ba8ccf40147a1484d3e6a8f4e670efb3dacf32003248d661a8f5c1742e","abstract_canon_sha256":"fe555eb968b72315e4c2709ce7c81b1b3bd2a58bc2b52709029c51c13562d44c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:50.565102Z","signature_b64":"nPgbASlJ+I8OsW2+GSoIAWQ8CRt4RIg9qj0t+8LXoASnPmc/i+42MhPoSbfOUl980aiX+XS3amFZKlOaaoyXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9146f4eb4f9b86e9db449a8a39458faacdbc0788e209c5018a533148f0956785","last_reissued_at":"2026-05-18T04:31:50.564508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:50.564508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the dimension of CAT(0) spaces where mapping class groups act","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.GN","authors_text":"Martin R Bridson","submitted_at":"2009-08-05T15:38:15Z","abstract_excerpt":"Whenever the mapping class group of a closed orientable surface of genus g acts by semisimple isometries on a complete CAT(0) space of dimension less than g it fixes a point."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0690","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":"0908.0690","created_at":"2026-05-18T04:31:50.564599+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.0690v2","created_at":"2026-05-18T04:31:50.564599+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0690","created_at":"2026-05-18T04:31:50.564599+00:00"},{"alias_kind":"pith_short_12","alias_value":"SFDPJ22PTODO","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"SFDPJ22PTODOTW2E","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"SFDPJ22P","created_at":"2026-05-18T12:26:01.383474+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/SFDPJ22PTODOTW2ETKFDSRMPVL","json":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL.json","graph_json":"https://pith.science/api/pith-number/SFDPJ22PTODOTW2ETKFDSRMPVL/graph.json","events_json":"https://pith.science/api/pith-number/SFDPJ22PTODOTW2ETKFDSRMPVL/events.json","paper":"https://pith.science/paper/SFDPJ22P"},"agent_actions":{"view_html":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL","download_json":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL.json","view_paper":"https://pith.science/paper/SFDPJ22P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.0690&json=true","fetch_graph":"https://pith.science/api/pith-number/SFDPJ22PTODOTW2ETKFDSRMPVL/graph.json","fetch_events":"https://pith.science/api/pith-number/SFDPJ22PTODOTW2ETKFDSRMPVL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL/action/storage_attestation","attest_author":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL/action/author_attestation","sign_citation":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL/action/citation_signature","submit_replication":"https://pith.science/pith/SFDPJ22PTODOTW2ETKFDSRMPVL/action/replication_record"}},"created_at":"2026-05-18T04:31:50.564599+00:00","updated_at":"2026-05-18T04:31:50.564599+00:00"}