{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SYUJ2M4VH37M7O7DWYOCFFFLAB","short_pith_number":"pith:SYUJ2M4V","schema_version":"1.0","canonical_sha256":"96289d33953efecfbbe3b61c2294ab0072d65044b4a45a7f08b012a3c613d938","source":{"kind":"arxiv","id":"1502.02176","version":1},"attestation_state":"computed","paper":{"title":"A note on acylindrical hyperbolicity of Mapping Class Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Alessandro Sisto, Piotr Przytycki","submitted_at":"2015-02-07T19:31:12Z","abstract_excerpt":"The aim of this note is to give the simplest possible proof that Mapping Class Groups of closed hyperbolic surfaces are acylindrically hyperbolic, and more specifically that their curve graphs are hyperbolic and that pseudo-Anosovs act on them as loxodromic WPDs."},"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":"1502.02176","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-02-07T19:31:12Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"f81da63bf4617fea2a54caad94c6000ae4764039e96b3100bbfba1ee562fc7e4","abstract_canon_sha256":"c0274c50d62087312d1dbf62d472786ca4aba8c095964b8830799a509212b864"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:43.397228Z","signature_b64":"jkuwKVlES9HEgzoDIwM+EMa7+6QnBto5oVdeZ1feRV6ON4HTP2kLDq4az25ybu/6xOscdRyHRC0h2D+7AxgMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96289d33953efecfbbe3b61c2294ab0072d65044b4a45a7f08b012a3c613d938","last_reissued_at":"2026-05-18T02:27:43.396664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:43.396664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on acylindrical hyperbolicity of Mapping Class Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Alessandro Sisto, Piotr Przytycki","submitted_at":"2015-02-07T19:31:12Z","abstract_excerpt":"The aim of this note is to give the simplest possible proof that Mapping Class Groups of closed hyperbolic surfaces are acylindrically hyperbolic, and more specifically that their curve graphs are hyperbolic and that pseudo-Anosovs act on them as loxodromic WPDs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02176","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.02176","created_at":"2026-05-18T02:27:43.396760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.02176v1","created_at":"2026-05-18T02:27:43.396760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02176","created_at":"2026-05-18T02:27:43.396760+00:00"},{"alias_kind":"pith_short_12","alias_value":"SYUJ2M4VH37M","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SYUJ2M4VH37M7O7D","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SYUJ2M4V","created_at":"2026-05-18T12:29:42.218222+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/SYUJ2M4VH37M7O7DWYOCFFFLAB","json":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB.json","graph_json":"https://pith.science/api/pith-number/SYUJ2M4VH37M7O7DWYOCFFFLAB/graph.json","events_json":"https://pith.science/api/pith-number/SYUJ2M4VH37M7O7DWYOCFFFLAB/events.json","paper":"https://pith.science/paper/SYUJ2M4V"},"agent_actions":{"view_html":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB","download_json":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB.json","view_paper":"https://pith.science/paper/SYUJ2M4V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.02176&json=true","fetch_graph":"https://pith.science/api/pith-number/SYUJ2M4VH37M7O7DWYOCFFFLAB/graph.json","fetch_events":"https://pith.science/api/pith-number/SYUJ2M4VH37M7O7DWYOCFFFLAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB/action/storage_attestation","attest_author":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB/action/author_attestation","sign_citation":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB/action/citation_signature","submit_replication":"https://pith.science/pith/SYUJ2M4VH37M7O7DWYOCFFFLAB/action/replication_record"}},"created_at":"2026-05-18T02:27:43.396760+00:00","updated_at":"2026-05-18T02:27:43.396760+00:00"}