{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QG7EFXZQIOGA2BK6EAX2SE2WUR","short_pith_number":"pith:QG7EFXZQ","schema_version":"1.0","canonical_sha256":"81be42df30438c0d055e202fa91356a45b2abc65c559ad3fb27691342b7cdd0f","source":{"kind":"arxiv","id":"1502.05654","version":1},"attestation_state":"computed","paper":{"title":"The Magic Wand Theorem of A. Eskin and M. Mirzakhani","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anton Zorich","submitted_at":"2015-02-19T17:59:33Z","abstract_excerpt":"This is the English translation of a short note published by Gazette des Math\\'ematiciens. The author was asked to present the recent work of Alex Eskin and of Maryam Mirzakhani, arXiv:1302.3320, and their joint work with Amir Mohammadi, arXiv:1305.3015, on SL(2,R)-action on the moduli space of Abelian differentials. This is a popularization paper with no proofs. Its only purpose is to suggest some motivations, and to outline possible applications considering billiards in polygons as an example."},"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":"1502.05654","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-19T17:59:33Z","cross_cats_sorted":[],"title_canon_sha256":"621dba86a171e4ad4069091e3641d9d559b0a8151807a4b843c235d12d0fef90","abstract_canon_sha256":"002dd3739ced70dd3b27bd9f6b85648491233b9fd3115f79dcfbcbd82e177ef7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:45.906824Z","signature_b64":"9P0v6CcJZqQ6rKkl5bmpcKFuiq0izeOiepdMs/NPbEIwftfz4y9mQNYQyMMMJWbA2A2so+h9iZfJIPq08h57AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81be42df30438c0d055e202fa91356a45b2abc65c559ad3fb27691342b7cdd0f","last_reissued_at":"2026-05-18T02:26:45.906345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:45.906345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Magic Wand Theorem of A. Eskin and M. Mirzakhani","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anton Zorich","submitted_at":"2015-02-19T17:59:33Z","abstract_excerpt":"This is the English translation of a short note published by Gazette des Math\\'ematiciens. The author was asked to present the recent work of Alex Eskin and of Maryam Mirzakhani, arXiv:1302.3320, and their joint work with Amir Mohammadi, arXiv:1305.3015, on SL(2,R)-action on the moduli space of Abelian differentials. This is a popularization paper with no proofs. Its only purpose is to suggest some motivations, and to outline possible applications considering billiards in polygons as an example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05654","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":"1502.05654","created_at":"2026-05-18T02:26:45.906427+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.05654v1","created_at":"2026-05-18T02:26:45.906427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05654","created_at":"2026-05-18T02:26:45.906427+00:00"},{"alias_kind":"pith_short_12","alias_value":"QG7EFXZQIOGA","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"QG7EFXZQIOGA2BK6","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"QG7EFXZQ","created_at":"2026-05-18T12:29:37.295048+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/QG7EFXZQIOGA2BK6EAX2SE2WUR","json":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR.json","graph_json":"https://pith.science/api/pith-number/QG7EFXZQIOGA2BK6EAX2SE2WUR/graph.json","events_json":"https://pith.science/api/pith-number/QG7EFXZQIOGA2BK6EAX2SE2WUR/events.json","paper":"https://pith.science/paper/QG7EFXZQ"},"agent_actions":{"view_html":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR","download_json":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR.json","view_paper":"https://pith.science/paper/QG7EFXZQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.05654&json=true","fetch_graph":"https://pith.science/api/pith-number/QG7EFXZQIOGA2BK6EAX2SE2WUR/graph.json","fetch_events":"https://pith.science/api/pith-number/QG7EFXZQIOGA2BK6EAX2SE2WUR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR/action/storage_attestation","attest_author":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR/action/author_attestation","sign_citation":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR/action/citation_signature","submit_replication":"https://pith.science/pith/QG7EFXZQIOGA2BK6EAX2SE2WUR/action/replication_record"}},"created_at":"2026-05-18T02:26:45.906427+00:00","updated_at":"2026-05-18T02:26:45.906427+00:00"}