{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:U2REFGZPSERP4R2E7CCTK42BH6","short_pith_number":"pith:U2REFGZP","schema_version":"1.0","canonical_sha256":"a6a2429b2f9122fe4744f8853573413f95f4bb9bc9a1bcbb928e6dfbca16fab1","source":{"kind":"arxiv","id":"1709.00718","version":1},"attestation_state":"computed","paper":{"title":"Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Guilin Yang, Yibin Ren","submitted_at":"2017-09-03T13:51:06Z","abstract_excerpt":"In this paper, we discuss the heat flow of a pseudo-harmonic map from a closed pseudo-Hermitian manifold to a Riemannian manifold with non-positive sectional curvature, and prove the existence of the pseudo-harmonic map which is a generalization of Eells-Sampson's existence theorem. We also discuss the uniqueness of the pseudo-harmonic representative of its homotopy class which is a generalization of Hartman theorem, provided that the target manifold has negative sectional curvature."},"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":"1709.00718","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-03T13:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"24b76f43eb4c6184011cb004b584e7bfe2c7185d8a228b8866efd933b37d3c9a","abstract_canon_sha256":"a891ab9402e7017ab8bb0f36f96a83864cd1c9f7bdf4d0ccaf3fd2156452c0cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:05.348272Z","signature_b64":"JFobYSUfEzf40JDQLRw1tWdma9yNL1yiwRR7uUYHnTEtAsXQFinPWfCSVlwneQZ83EmIQLsG5vCbmmRqstmvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6a2429b2f9122fe4744f8853573413f95f4bb9bc9a1bcbb928e6dfbca16fab1","last_reissued_at":"2026-05-18T00:36:05.347776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:05.347776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Guilin Yang, Yibin Ren","submitted_at":"2017-09-03T13:51:06Z","abstract_excerpt":"In this paper, we discuss the heat flow of a pseudo-harmonic map from a closed pseudo-Hermitian manifold to a Riemannian manifold with non-positive sectional curvature, and prove the existence of the pseudo-harmonic map which is a generalization of Eells-Sampson's existence theorem. We also discuss the uniqueness of the pseudo-harmonic representative of its homotopy class which is a generalization of Hartman theorem, provided that the target manifold has negative sectional curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00718","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":"1709.00718","created_at":"2026-05-18T00:36:05.347850+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.00718v1","created_at":"2026-05-18T00:36:05.347850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00718","created_at":"2026-05-18T00:36:05.347850+00:00"},{"alias_kind":"pith_short_12","alias_value":"U2REFGZPSERP","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"U2REFGZPSERP4R2E","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"U2REFGZP","created_at":"2026-05-18T12:31:46.661854+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/U2REFGZPSERP4R2E7CCTK42BH6","json":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6.json","graph_json":"https://pith.science/api/pith-number/U2REFGZPSERP4R2E7CCTK42BH6/graph.json","events_json":"https://pith.science/api/pith-number/U2REFGZPSERP4R2E7CCTK42BH6/events.json","paper":"https://pith.science/paper/U2REFGZP"},"agent_actions":{"view_html":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6","download_json":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6.json","view_paper":"https://pith.science/paper/U2REFGZP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.00718&json=true","fetch_graph":"https://pith.science/api/pith-number/U2REFGZPSERP4R2E7CCTK42BH6/graph.json","fetch_events":"https://pith.science/api/pith-number/U2REFGZPSERP4R2E7CCTK42BH6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6/action/storage_attestation","attest_author":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6/action/author_attestation","sign_citation":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6/action/citation_signature","submit_replication":"https://pith.science/pith/U2REFGZPSERP4R2E7CCTK42BH6/action/replication_record"}},"created_at":"2026-05-18T00:36:05.347850+00:00","updated_at":"2026-05-18T00:36:05.347850+00:00"}