{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:A3DIF2WWZNYSD32EFR3VWETP56","short_pith_number":"pith:A3DIF2WW","schema_version":"1.0","canonical_sha256":"06c682ead6cb7121ef442c775b126fefbc3761097899fc2f67a5076b92f7aa55","source":{"kind":"arxiv","id":"1010.1889","version":1},"attestation_state":"computed","paper":{"title":"Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Chang-shou Lin, Martin A. Guest","submitted_at":"2010-10-10T03:00:58Z","abstract_excerpt":"Using nonlinear pde techniques, we construct a new family of globally smooth tt* structures. This includes tt* structures associated to the (orbifold) quantum cohomology of a finite number of complex projective spaces and weighted projective spaces. The existence of such \"magical solutions\" of the tt* equations, namely smooth solutions characterized by asymptotic boundary conditions, was predicted by Cecotti and Vafa. In our situation, the tt* equations belong to a class of equations which we call the tt*-Toda lattice. Solutions of the tt*-Toda lattice are harmonic maps which have dual interpr"},"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":"1010.1889","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-10T03:00:58Z","cross_cats_sorted":["math.AP","math.DG","math.MP"],"title_canon_sha256":"cfa757e95ccff739ac2a1be504ebbef4b5a10b16a8fe56d1831e5c440fedda9c","abstract_canon_sha256":"98339b9a34e511a2f5a9109a599c93cbc4da8af2457fcb14c613a76d4766ac0b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:30.145571Z","signature_b64":"Dmo7f2+exHrsNXCsglx6S7d0RIRh24zzqf8FR5eosIw5C6UkiTmbOfBspljPjrMH4vsHh0Xn8Jxp62k53aO9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06c682ead6cb7121ef442c775b126fefbc3761097899fc2f67a5076b92f7aa55","last_reissued_at":"2026-05-18T04:39:30.145078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:30.145078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Chang-shou Lin, Martin A. Guest","submitted_at":"2010-10-10T03:00:58Z","abstract_excerpt":"Using nonlinear pde techniques, we construct a new family of globally smooth tt* structures. This includes tt* structures associated to the (orbifold) quantum cohomology of a finite number of complex projective spaces and weighted projective spaces. The existence of such \"magical solutions\" of the tt* equations, namely smooth solutions characterized by asymptotic boundary conditions, was predicted by Cecotti and Vafa. In our situation, the tt* equations belong to a class of equations which we call the tt*-Toda lattice. Solutions of the tt*-Toda lattice are harmonic maps which have dual interpr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1889","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":"1010.1889","created_at":"2026-05-18T04:39:30.145157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.1889v1","created_at":"2026-05-18T04:39:30.145157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1889","created_at":"2026-05-18T04:39:30.145157+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3DIF2WWZNYS","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3DIF2WWZNYSD32E","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3DIF2WW","created_at":"2026-05-18T12:26:05.355336+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/A3DIF2WWZNYSD32EFR3VWETP56","json":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56.json","graph_json":"https://pith.science/api/pith-number/A3DIF2WWZNYSD32EFR3VWETP56/graph.json","events_json":"https://pith.science/api/pith-number/A3DIF2WWZNYSD32EFR3VWETP56/events.json","paper":"https://pith.science/paper/A3DIF2WW"},"agent_actions":{"view_html":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56","download_json":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56.json","view_paper":"https://pith.science/paper/A3DIF2WW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.1889&json=true","fetch_graph":"https://pith.science/api/pith-number/A3DIF2WWZNYSD32EFR3VWETP56/graph.json","fetch_events":"https://pith.science/api/pith-number/A3DIF2WWZNYSD32EFR3VWETP56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56/action/storage_attestation","attest_author":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56/action/author_attestation","sign_citation":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56/action/citation_signature","submit_replication":"https://pith.science/pith/A3DIF2WWZNYSD32EFR3VWETP56/action/replication_record"}},"created_at":"2026-05-18T04:39:30.145157+00:00","updated_at":"2026-05-18T04:39:30.145157+00:00"}