{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Y5AMPNUTDULVGFNR6T7SMPH456","short_pith_number":"pith:Y5AMPNUT","schema_version":"1.0","canonical_sha256":"c740c7b6931d175315b1f4ff263cfcef93499cf19b3fcba26c1b956e38cdc111","source":{"kind":"arxiv","id":"1610.04531","version":1},"attestation_state":"computed","paper":{"title":"Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus-Zero Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.CV"],"primary_cat":"cs.GR","authors_text":"Anuj Srivastava, Hamid Laga, Ian H. Jermyn, Qian Xie","submitted_at":"2016-10-14T16:56:49Z","abstract_excerpt":"Recent developments in elastic shape analysis (ESA) are motivated by the fact that it provides comprehensive frameworks for simultaneous registration, deformation, and comparison of shapes. These methods achieve computational efficiency using certain square-root representations that transform invariant elastic metrics into Euclidean metrics, allowing for applications of standard algorithms and statistical tools. For analyzing shapes of embeddings of $\\mathbb{S}^2$ in $\\mathbb{R}^3$, Jermyn et al. introduced square-root normal fields (SRNFs) that transformed an elastic metric, with desirable in"},"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":"1610.04531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2016-10-14T16:56:49Z","cross_cats_sorted":["cs.CG","cs.CV"],"title_canon_sha256":"a93822e0108b818896b40573761491dcba676a43e21f719f03afd993b8c0a41f","abstract_canon_sha256":"2744030bd79d5b1248161cae5afb3b57e0999e374a5329040f182d0b2557cc2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:18.735524Z","signature_b64":"rhjnOTBLf/3SxH4nT5lwX16K6cbHOw4pNg6Qtkeiwk4I1hd68rm909IzuRCwZKJSTEz0U0HDGVqEljEBrpz6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c740c7b6931d175315b1f4ff263cfcef93499cf19b3fcba26c1b956e38cdc111","last_reissued_at":"2026-05-17T23:43:18.734987Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:18.734987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Inversion of SRNF Maps for Elastic Shape Analysis of Genus-Zero Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.CV"],"primary_cat":"cs.GR","authors_text":"Anuj Srivastava, Hamid Laga, Ian H. Jermyn, Qian Xie","submitted_at":"2016-10-14T16:56:49Z","abstract_excerpt":"Recent developments in elastic shape analysis (ESA) are motivated by the fact that it provides comprehensive frameworks for simultaneous registration, deformation, and comparison of shapes. These methods achieve computational efficiency using certain square-root representations that transform invariant elastic metrics into Euclidean metrics, allowing for applications of standard algorithms and statistical tools. For analyzing shapes of embeddings of $\\mathbb{S}^2$ in $\\mathbb{R}^3$, Jermyn et al. introduced square-root normal fields (SRNFs) that transformed an elastic metric, with desirable in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04531","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":"1610.04531","created_at":"2026-05-17T23:43:18.735063+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.04531v1","created_at":"2026-05-17T23:43:18.735063+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04531","created_at":"2026-05-17T23:43:18.735063+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y5AMPNUTDULV","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y5AMPNUTDULVGFNR","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y5AMPNUT","created_at":"2026-05-18T12:30:53.716459+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/Y5AMPNUTDULVGFNR6T7SMPH456","json":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456.json","graph_json":"https://pith.science/api/pith-number/Y5AMPNUTDULVGFNR6T7SMPH456/graph.json","events_json":"https://pith.science/api/pith-number/Y5AMPNUTDULVGFNR6T7SMPH456/events.json","paper":"https://pith.science/paper/Y5AMPNUT"},"agent_actions":{"view_html":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456","download_json":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456.json","view_paper":"https://pith.science/paper/Y5AMPNUT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.04531&json=true","fetch_graph":"https://pith.science/api/pith-number/Y5AMPNUTDULVGFNR6T7SMPH456/graph.json","fetch_events":"https://pith.science/api/pith-number/Y5AMPNUTDULVGFNR6T7SMPH456/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456/action/storage_attestation","attest_author":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456/action/author_attestation","sign_citation":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456/action/citation_signature","submit_replication":"https://pith.science/pith/Y5AMPNUTDULVGFNR6T7SMPH456/action/replication_record"}},"created_at":"2026-05-17T23:43:18.735063+00:00","updated_at":"2026-05-17T23:43:18.735063+00:00"}