{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:M4272PCBWTBUZWFN4Z6OX4MP5O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"694f38dfb1d9f8f20aea3628ad5f99f7990e70501a511e410341a4f2e535eab0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T17:38:10Z","title_canon_sha256":"c533ebfa0df4614bbba26b75bbcbe2c390ab4144db0d2ad87d5ca90fb6e28bb3"},"schema_version":"1.0","source":{"id":"1101.5116","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5116","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5116v1","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5116","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"M4272PCBWTBU","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"M4272PCBWTBUZWFN","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"M4272PCB","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:4946a679c6178614dda38066cb327ee29682a88631db0af44f743543754a22ff","target":"graph","created_at":"2026-05-18T04:30:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Shape matching represents a challenging problem in both information engineering and computer science, exhibiting not only a wide spectrum of multimedia applications, but also a deep relation with conformal geometry. After reviewing the theoretical foundations and the practical issues involved in this fashinating subject, we focus on two state-of-the-art approaches relying respectively on local features (landmark points) and on global properties (conformal parameterizations). Finally, we introduce the Teichm\\\"uller space of n-pointed Riemann surfaces of genus g into the realm of multimedia, sho","authors_text":"Claudio Fontanari, Letizia Pernigotti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T17:38:10Z","title":"3D shape matching and Teichm\\\"uller spaces of pointed Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5116","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:91e0e812c4215c25b9ea627beaff70c6c52a4ce277b7b498b0344f497a8f96c5","target":"record","created_at":"2026-05-18T04:30:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"694f38dfb1d9f8f20aea3628ad5f99f7990e70501a511e410341a4f2e535eab0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T17:38:10Z","title_canon_sha256":"c533ebfa0df4614bbba26b75bbcbe2c390ab4144db0d2ad87d5ca90fb6e28bb3"},"schema_version":"1.0","source":{"id":"1101.5116","kind":"arxiv","version":1}},"canonical_sha256":"6735fd3c41b4c34cd8ade67cebf18feb89f9dabdf7d4fd76107b948e9ac86a92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6735fd3c41b4c34cd8ade67cebf18feb89f9dabdf7d4fd76107b948e9ac86a92","first_computed_at":"2026-05-18T04:30:46.785205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:46.785205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PKd9HZZD0U4ZeK3STMv3jHG/IEaJc0oBjh26eRo5QBwmYHbaIm5QW0DtnUZEvGHdf3r7mgVX5jLeeUp7GF4+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:46.785724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5116","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91e0e812c4215c25b9ea627beaff70c6c52a4ce277b7b498b0344f497a8f96c5","sha256:4946a679c6178614dda38066cb327ee29682a88631db0af44f743543754a22ff"],"state_sha256":"28561bd60bd384d337bdefa05d7cd5c9d610c0632c9af9317396ba4211f91341"}