{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:A43PG2JJGF7ZON3DFQIXSGZWUF","short_pith_number":"pith:A43PG2JJ","schema_version":"1.0","canonical_sha256":"0736f36929317f9737632c11791b36a1513d308ee7ef6f922077d315dd50369c","source":{"kind":"arxiv","id":"1112.6130","version":1},"attestation_state":"computed","paper":{"title":"A construction of conformal-harmonic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Farid Madani, Olivier Biquard","submitted_at":"2011-12-28T14:39:37Z","abstract_excerpt":"Conformal harmonic maps from a 4-dimensional conformal manifold to a Riemannian manifold are maps satisfying a certain conformally invariant fourth order equation. We prove a general existence result for conformal harmonic maps, analogous to the Eells-Sampson theorem for harmonic maps. The proof uses a geometric flow and relies on results of Gursky-Viaclovsky and Lamm."},"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":"1112.6130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T14:39:37Z","cross_cats_sorted":[],"title_canon_sha256":"721602ee8776489bbbbaa5d94b9feac0cec4032372d173af3b8fd52cd123a981","abstract_canon_sha256":"7c7aff284e7871bd6df510755bb76531cf8f8506fed1e06fcb7dbd52c8378816"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:36.702606Z","signature_b64":"a9wpubZcpV4K00hNNPrjx0De447N9brax/NL2rGkt/Ms4dLKf0doHJyG7Mde2m/e+jWbTDyCdRSN5Dpxpe2aCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0736f36929317f9737632c11791b36a1513d308ee7ef6f922077d315dd50369c","last_reissued_at":"2026-05-18T04:05:36.702137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:36.702137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A construction of conformal-harmonic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Farid Madani, Olivier Biquard","submitted_at":"2011-12-28T14:39:37Z","abstract_excerpt":"Conformal harmonic maps from a 4-dimensional conformal manifold to a Riemannian manifold are maps satisfying a certain conformally invariant fourth order equation. We prove a general existence result for conformal harmonic maps, analogous to the Eells-Sampson theorem for harmonic maps. The proof uses a geometric flow and relies on results of Gursky-Viaclovsky and Lamm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6130","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":"1112.6130","created_at":"2026-05-18T04:05:36.702197+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.6130v1","created_at":"2026-05-18T04:05:36.702197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6130","created_at":"2026-05-18T04:05:36.702197+00:00"},{"alias_kind":"pith_short_12","alias_value":"A43PG2JJGF7Z","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"A43PG2JJGF7ZON3D","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"A43PG2JJ","created_at":"2026-05-18T12:26:24.575870+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/A43PG2JJGF7ZON3DFQIXSGZWUF","json":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF.json","graph_json":"https://pith.science/api/pith-number/A43PG2JJGF7ZON3DFQIXSGZWUF/graph.json","events_json":"https://pith.science/api/pith-number/A43PG2JJGF7ZON3DFQIXSGZWUF/events.json","paper":"https://pith.science/paper/A43PG2JJ"},"agent_actions":{"view_html":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF","download_json":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF.json","view_paper":"https://pith.science/paper/A43PG2JJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.6130&json=true","fetch_graph":"https://pith.science/api/pith-number/A43PG2JJGF7ZON3DFQIXSGZWUF/graph.json","fetch_events":"https://pith.science/api/pith-number/A43PG2JJGF7ZON3DFQIXSGZWUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF/action/storage_attestation","attest_author":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF/action/author_attestation","sign_citation":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF/action/citation_signature","submit_replication":"https://pith.science/pith/A43PG2JJGF7ZON3DFQIXSGZWUF/action/replication_record"}},"created_at":"2026-05-18T04:05:36.702197+00:00","updated_at":"2026-05-18T04:05:36.702197+00:00"}