{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:YDPUKNFP57QYWCQP46OEAVMUZI","short_pith_number":"pith:YDPUKNFP","schema_version":"1.0","canonical_sha256":"c0df4534afefe18b0a0fe79c405594ca021e1cf8fa4a5d358466e2b612f93120","source":{"kind":"arxiv","id":"dg-ga/9702018","version":3},"attestation_state":"computed","paper":{"title":"Dual Teichm\\\" uller spaces","license":"","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"dg-ga","authors_text":"Moscow), V.V.Fock (ITEP","submitted_at":"1997-02-20T21:19:57Z","abstract_excerpt":"We describe in elementary geometrical terms Teichm\\\" uller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively. We show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichm\\\" uller spaces and some other application of the constructed approach. The paper does not require any preliminary knowledge of the subject above the Poincar\\' e uniformisation theorem."},"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":"dg-ga/9702018","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"dg-ga","submitted_at":"1997-02-20T21:19:57Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"23f980d069ec437e38784d5dc43c695ae472382a6612bd0668559a9262ab5251","abstract_canon_sha256":"6d76afc535b1864b9d6bd38e24ade7bb6a44bdfeed0d69bb876d539e5d5ab458"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:07:24.280953Z","signature_b64":"SbMzS37l/8Y6A8oXfrYfLA1h3LJ1dZnffjnqQgIo7EsMjbKw+G5juIGYPXUTEspc1bU91cqJSlDLb50ARgYZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0df4534afefe18b0a0fe79c405594ca021e1cf8fa4a5d358466e2b612f93120","last_reissued_at":"2026-07-04T15:07:24.280591Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:07:24.280591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dual Teichm\\\" uller spaces","license":"","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"dg-ga","authors_text":"Moscow), V.V.Fock (ITEP","submitted_at":"1997-02-20T21:19:57Z","abstract_excerpt":"We describe in elementary geometrical terms Teichm\\\" uller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively. We show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichm\\\" uller spaces and some other application of the constructed approach. The paper does not require any preliminary knowledge of the subject above the Poincar\\' e uniformisation theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"dg-ga/9702018","kind":"arxiv","version":3},"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/dg-ga/9702018/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":"dg-ga/9702018","created_at":"2026-07-04T15:07:24.280659+00:00"},{"alias_kind":"arxiv_version","alias_value":"dg-ga/9702018v3","created_at":"2026-07-04T15:07:24.280659+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.dg-ga/9702018","created_at":"2026-07-04T15:07:24.280659+00:00"},{"alias_kind":"pith_short_12","alias_value":"YDPUKNFP57QY","created_at":"2026-07-04T15:07:24.280659+00:00"},{"alias_kind":"pith_short_16","alias_value":"YDPUKNFP57QYWCQP","created_at":"2026-07-04T15:07:24.280659+00:00"},{"alias_kind":"pith_short_8","alias_value":"YDPUKNFP","created_at":"2026-07-04T15:07:24.280659+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2402.07740","citing_title":"The double gamma function and Vladimir Alekseevsky","ref_index":35,"is_internal_anchor":true},{"citing_arxiv_id":"2405.14727","citing_title":"Quantized Geodesic Lengths for Teichm\\\"uller Spaces: Algebraic Aspects","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2407.04178","citing_title":"Monomial web basis for the SL(N) skein algebra of the twice punctured sphere","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2412.03588","citing_title":"Spectral Networks: Bridging higher-rank Teichm\\\"uller theory and BPS states","ref_index":131,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12572","citing_title":"Chewing gums, snakes and candle cakes","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI","json":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI.json","graph_json":"https://pith.science/api/pith-number/YDPUKNFP57QYWCQP46OEAVMUZI/graph.json","events_json":"https://pith.science/api/pith-number/YDPUKNFP57QYWCQP46OEAVMUZI/events.json","paper":"https://pith.science/paper/YDPUKNFP"},"agent_actions":{"view_html":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI","download_json":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI.json","view_paper":"https://pith.science/paper/YDPUKNFP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=dg-ga/9702018&json=true","fetch_graph":"https://pith.science/api/pith-number/YDPUKNFP57QYWCQP46OEAVMUZI/graph.json","fetch_events":"https://pith.science/api/pith-number/YDPUKNFP57QYWCQP46OEAVMUZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI/action/storage_attestation","attest_author":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI/action/author_attestation","sign_citation":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI/action/citation_signature","submit_replication":"https://pith.science/pith/YDPUKNFP57QYWCQP46OEAVMUZI/action/replication_record"}},"created_at":"2026-07-04T15:07:24.280659+00:00","updated_at":"2026-07-04T15:07:24.280659+00:00"}