{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2AWAEFKR3TTEV52LP6SVJJFTGZ","short_pith_number":"pith:2AWAEFKR","schema_version":"1.0","canonical_sha256":"d02c021551dce64af74b7fa554a4b33666f13f1715088293cc5ffa7de30327d3","source":{"kind":"arxiv","id":"1111.1187","version":1},"attestation_state":"computed","paper":{"title":"Convexity of strata in diagonal pants graphs of surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Cyril Lecuire, Hugo Parlier, Javier Aramayona, Kenneth J. Shackleton","submitted_at":"2011-11-04T17:11:11Z","abstract_excerpt":"We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph."},"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":"1111.1187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-04T17:11:11Z","cross_cats_sorted":[],"title_canon_sha256":"7f375b3744bd621ee87bdcf28574aa947223651cd705d20aaf762cf1f3290187","abstract_canon_sha256":"88f7c3bd7190dbd73b8c48972df3b1d44a0d83c7f0c5f4af923690cda9e282c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:35.571078Z","signature_b64":"wrfFDaMRBwXooTPzXd5SilKYVWgONJPNMy3dPVdNhcxEtiqSJinP21bfzAp/CPBW8G/gpU6+2WsBKECvXDsTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d02c021551dce64af74b7fa554a4b33666f13f1715088293cc5ffa7de30327d3","last_reissued_at":"2026-05-18T04:09:35.570540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:35.570540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convexity of strata in diagonal pants graphs of surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Cyril Lecuire, Hugo Parlier, Javier Aramayona, Kenneth J. Shackleton","submitted_at":"2011-11-04T17:11:11Z","abstract_excerpt":"We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1187","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":"1111.1187","created_at":"2026-05-18T04:09:35.570612+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1187v1","created_at":"2026-05-18T04:09:35.570612+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1187","created_at":"2026-05-18T04:09:35.570612+00:00"},{"alias_kind":"pith_short_12","alias_value":"2AWAEFKR3TTE","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2AWAEFKR3TTEV52L","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2AWAEFKR","created_at":"2026-05-18T12:26:18.847500+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/2AWAEFKR3TTEV52LP6SVJJFTGZ","json":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ.json","graph_json":"https://pith.science/api/pith-number/2AWAEFKR3TTEV52LP6SVJJFTGZ/graph.json","events_json":"https://pith.science/api/pith-number/2AWAEFKR3TTEV52LP6SVJJFTGZ/events.json","paper":"https://pith.science/paper/2AWAEFKR"},"agent_actions":{"view_html":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ","download_json":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ.json","view_paper":"https://pith.science/paper/2AWAEFKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1187&json=true","fetch_graph":"https://pith.science/api/pith-number/2AWAEFKR3TTEV52LP6SVJJFTGZ/graph.json","fetch_events":"https://pith.science/api/pith-number/2AWAEFKR3TTEV52LP6SVJJFTGZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ/action/storage_attestation","attest_author":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ/action/author_attestation","sign_citation":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ/action/citation_signature","submit_replication":"https://pith.science/pith/2AWAEFKR3TTEV52LP6SVJJFTGZ/action/replication_record"}},"created_at":"2026-05-18T04:09:35.570612+00:00","updated_at":"2026-05-18T04:09:35.570612+00:00"}