{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VSMIDDMSEX62FNQ3L4CYKBCVDR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d065a153c5a17e59ec0d2edb6c77048139c8e25a6b0a7acc6d0fbe013f40d13c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-12-06T16:31:42Z","title_canon_sha256":"da199ba40b1b669f28da5197e838fa0c2b973582fe553fd9b257ed6cd8c04397"},"schema_version":"1.0","source":{"id":"2212.03119","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.03119","created_at":"2026-07-05T08:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"2212.03119v3","created_at":"2026-07-05T08:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.03119","created_at":"2026-07-05T08:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"VSMIDDMSEX62","created_at":"2026-07-05T08:03:40Z"},{"alias_kind":"pith_short_16","alias_value":"VSMIDDMSEX62FNQ3","created_at":"2026-07-05T08:03:40Z"},{"alias_kind":"pith_short_8","alias_value":"VSMIDDMS","created_at":"2026-07-05T08:03:40Z"}],"graph_snapshots":[{"event_id":"sha256:2415b63e307a8f55388999da76d71e366831fa320fa9aea7f6a8f2e406f72fe2","target":"graph","created_at":"2026-07-05T08:03:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.03119/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Benjamin Enriquez, Federico Zerbini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-12-06T16:31:42Z","title":"Analogues of hyperlogarithm functions on affine complex curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.03119","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:be5dcb590c5c527ef83c39b79563c60fe311434d7dded28e25b36f2e326ea679","target":"record","created_at":"2026-07-05T08:03:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d065a153c5a17e59ec0d2edb6c77048139c8e25a6b0a7acc6d0fbe013f40d13c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-12-06T16:31:42Z","title_canon_sha256":"da199ba40b1b669f28da5197e838fa0c2b973582fe553fd9b257ed6cd8c04397"},"schema_version":"1.0","source":{"id":"2212.03119","kind":"arxiv","version":3}},"canonical_sha256":"ac98818d9225fda2b61b5f058504551c5a97a6f231abdb86b4a33563654559f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac98818d9225fda2b61b5f058504551c5a97a6f231abdb86b4a33563654559f9","first_computed_at":"2026-07-05T08:03:40.788729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:03:40.788729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+SonindIQQbeQiWiD8MasumBntBAJMKhZxM8gGBouDYBnGlev+R+ZFUpmqpiEstlGl4jvOHQk0xzfiYmwxCDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:03:40.789245Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.03119","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be5dcb590c5c527ef83c39b79563c60fe311434d7dded28e25b36f2e326ea679","sha256:2415b63e307a8f55388999da76d71e366831fa320fa9aea7f6a8f2e406f72fe2"],"state_sha256":"c199e1491df43615e18834bc2cdfc8e91a8151543b8cc914f61d178f1704eb8e"}