{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FABSS5EWORUIUXPXQFTPB6HH3F","short_pith_number":"pith:FABSS5EW","schema_version":"1.0","canonical_sha256":"280329749674688a5df78166f0f8e7d963c7dc58ae202ac9fc606421ef25f7ec","source":{"kind":"arxiv","id":"1704.02525","version":1},"attestation_state":"computed","paper":{"title":"Density-equalizing maps for simply-connected open surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GR","cs.NA","math.DG","math.NA"],"primary_cat":"cs.CG","authors_text":"Chris H. Rycroft, Gary P. T. Choi","submitted_at":"2017-04-08T19:08:08Z","abstract_excerpt":"In this paper, we are concerned with the problem of creating flattening maps of simply-connected open surfaces in $\\mathbb{R}^3$. Using a natural principle of density diffusion in physics, we propose an effective algorithm for computing density-equalizing flattening maps with any prescribed density distribution. By varying the initial density distribution, a large variety of mappings with different properties can be achieved. For instance, area-preserving parameterizations of simply-connected open surfaces can be easily computed. Experimental results are presented to demonstrate the effectiven"},"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":"1704.02525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-04-08T19:08:08Z","cross_cats_sorted":["cs.GR","cs.NA","math.DG","math.NA"],"title_canon_sha256":"5f1278a863440c45e54acfa6275434487c52df55c1e1141daed5f1e04e51a3ce","abstract_canon_sha256":"42868bf111a13924307e6dd710304d37aaa45e90860ffbde80da9efd393725ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T18:10:43.485049Z","signature_b64":"6qyNpZ3b0PgqbbtYEVcFv/IlDVM1deOezurjfR+tHudy8YMyuwzr+/cwtQa+8EZYPhb6RlnbfY7wqZ7ZFdYsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"280329749674688a5df78166f0f8e7d963c7dc58ae202ac9fc606421ef25f7ec","last_reissued_at":"2026-06-04T18:10:43.484482Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T18:10:43.484482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density-equalizing maps for simply-connected open surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GR","cs.NA","math.DG","math.NA"],"primary_cat":"cs.CG","authors_text":"Chris H. Rycroft, Gary P. T. Choi","submitted_at":"2017-04-08T19:08:08Z","abstract_excerpt":"In this paper, we are concerned with the problem of creating flattening maps of simply-connected open surfaces in $\\mathbb{R}^3$. Using a natural principle of density diffusion in physics, we propose an effective algorithm for computing density-equalizing flattening maps with any prescribed density distribution. By varying the initial density distribution, a large variety of mappings with different properties can be achieved. For instance, area-preserving parameterizations of simply-connected open surfaces can be easily computed. Experimental results are presented to demonstrate the effectiven"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02525","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1704.02525/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":"1704.02525","created_at":"2026-06-04T18:10:43.484558+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.02525v1","created_at":"2026-06-04T18:10:43.484558+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02525","created_at":"2026-06-04T18:10:43.484558+00:00"},{"alias_kind":"pith_short_12","alias_value":"FABSS5EWORUI","created_at":"2026-06-04T18:10:43.484558+00:00"},{"alias_kind":"pith_short_16","alias_value":"FABSS5EWORUIUXPX","created_at":"2026-06-04T18:10:43.484558+00:00"},{"alias_kind":"pith_short_8","alias_value":"FABSS5EW","created_at":"2026-06-04T18:10:43.484558+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/FABSS5EWORUIUXPXQFTPB6HH3F","json":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F.json","graph_json":"https://pith.science/api/pith-number/FABSS5EWORUIUXPXQFTPB6HH3F/graph.json","events_json":"https://pith.science/api/pith-number/FABSS5EWORUIUXPXQFTPB6HH3F/events.json","paper":"https://pith.science/paper/FABSS5EW"},"agent_actions":{"view_html":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F","download_json":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F.json","view_paper":"https://pith.science/paper/FABSS5EW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.02525&json=true","fetch_graph":"https://pith.science/api/pith-number/FABSS5EWORUIUXPXQFTPB6HH3F/graph.json","fetch_events":"https://pith.science/api/pith-number/FABSS5EWORUIUXPXQFTPB6HH3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F/action/storage_attestation","attest_author":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F/action/author_attestation","sign_citation":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F/action/citation_signature","submit_replication":"https://pith.science/pith/FABSS5EWORUIUXPXQFTPB6HH3F/action/replication_record"}},"created_at":"2026-06-04T18:10:43.484558+00:00","updated_at":"2026-06-04T18:10:43.484558+00:00"}