{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:VSMIDDMSEX62FNQ3L4CYKBCVDR","short_pith_number":"pith:VSMIDDMS","schema_version":"1.0","canonical_sha256":"ac98818d9225fda2b61b5f058504551c5a97a6f231abdb86b4a33563654559f9","source":{"kind":"arxiv","id":"2212.03119","version":3},"attestation_state":"computed","paper":{"title":"Analogues of hyperlogarithm functions on affine complex curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Benjamin Enriquez, Federico Zerbini","submitted_at":"2022-12-06T16:31:42Z","abstract_excerpt":"For $C$ a smooth affine complex curve, there is a unique minimal subalgebra $A_C$ of the algebra $\\mathcal O_{hol}(\\tilde C)$ of holomorphic functions on its universal cover $\\tilde C$, which is stable under all the operations $f\\mapsto \\int f\\omega$, for $\\omega$ in the space $\\Omega(C)$ of regular differentials on $C$. We identify $A_C$ with the image of the iterated integration map $I_{x_0} : \\mathrm{Sh}(\\Omega(C))\\to\\mathcal O_{hol}(\\tilde C)$ based at any point $x_0$ of $\\tilde C$ (here $\\mathrm{Sh}(-)$ denotes the shuffle algebra of a vector space), as well as with the unipotent part, wi"},"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":"2212.03119","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-12-06T16:31:42Z","cross_cats_sorted":[],"title_canon_sha256":"da199ba40b1b669f28da5197e838fa0c2b973582fe553fd9b257ed6cd8c04397","abstract_canon_sha256":"d065a153c5a17e59ec0d2edb6c77048139c8e25a6b0a7acc6d0fbe013f40d13c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:03:40.789245Z","signature_b64":"g+SonindIQQbeQiWiD8MasumBntBAJMKhZxM8gGBouDYBnGlev+R+ZFUpmqpiEstlGl4jvOHQk0xzfiYmwxCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac98818d9225fda2b61b5f058504551c5a97a6f231abdb86b4a33563654559f9","last_reissued_at":"2026-07-05T08:03:40.788729Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:03:40.788729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analogues of hyperlogarithm functions on affine complex curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Benjamin Enriquez, Federico Zerbini","submitted_at":"2022-12-06T16:31:42Z","abstract_excerpt":"For $C$ a smooth affine complex curve, there is a unique minimal subalgebra $A_C$ of the algebra $\\mathcal O_{hol}(\\tilde C)$ of holomorphic functions on its universal cover $\\tilde C$, which is stable under all the operations $f\\mapsto \\int f\\omega$, for $\\omega$ in the space $\\Omega(C)$ of regular differentials on $C$. We identify $A_C$ with the image of the iterated integration map $I_{x_0} : \\mathrm{Sh}(\\Omega(C))\\to\\mathcal O_{hol}(\\tilde C)$ based at any point $x_0$ of $\\tilde C$ (here $\\mathrm{Sh}(-)$ denotes the shuffle algebra of a vector space), as well as with the unipotent part, wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.03119","kind":"arxiv","version":3},"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/2212.03119/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":"2212.03119","created_at":"2026-07-05T08:03:40.788788+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.03119v3","created_at":"2026-07-05T08:03:40.788788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.03119","created_at":"2026-07-05T08:03:40.788788+00:00"},{"alias_kind":"pith_short_12","alias_value":"VSMIDDMSEX62","created_at":"2026-07-05T08:03:40.788788+00:00"},{"alias_kind":"pith_short_16","alias_value":"VSMIDDMSEX62FNQ3","created_at":"2026-07-05T08:03:40.788788+00:00"},{"alias_kind":"pith_short_8","alias_value":"VSMIDDMS","created_at":"2026-07-05T08:03:40.788788+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17911","citing_title":"Single-valued polylogarithms for higher genera","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2503.02096","citing_title":"Deriving motivic coactions and single-valued maps at genus zero from zeta generators","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15240","citing_title":"A construction of single-valued elliptic polylogarithms","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2508.02800","citing_title":"Towards Motivic Coactions at Genus One from Zeta Generators","ref_index":201,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13794","citing_title":"The spectrum of Feynman-integral geometries at two loops","ref_index":117,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR","json":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR.json","graph_json":"https://pith.science/api/pith-number/VSMIDDMSEX62FNQ3L4CYKBCVDR/graph.json","events_json":"https://pith.science/api/pith-number/VSMIDDMSEX62FNQ3L4CYKBCVDR/events.json","paper":"https://pith.science/paper/VSMIDDMS"},"agent_actions":{"view_html":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR","download_json":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR.json","view_paper":"https://pith.science/paper/VSMIDDMS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.03119&json=true","fetch_graph":"https://pith.science/api/pith-number/VSMIDDMSEX62FNQ3L4CYKBCVDR/graph.json","fetch_events":"https://pith.science/api/pith-number/VSMIDDMSEX62FNQ3L4CYKBCVDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR/action/storage_attestation","attest_author":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR/action/author_attestation","sign_citation":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR/action/citation_signature","submit_replication":"https://pith.science/pith/VSMIDDMSEX62FNQ3L4CYKBCVDR/action/replication_record"}},"created_at":"2026-07-05T08:03:40.788788+00:00","updated_at":"2026-07-05T08:03:40.788788+00:00"}