{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:CBL26EORFXAG3B2JC53FLSUAKZ","short_pith_number":"pith:CBL26EOR","schema_version":"1.0","canonical_sha256":"1057af11d12dc06d8749177655ca805659c21f2fe4d8433b0337ac406e9f7d18","source":{"kind":"arxiv","id":"2110.09341","version":1},"attestation_state":"computed","paper":{"title":"Construction of Maurer-Cartan elements over configuration spaces of 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":"2021-10-18T14:09:45Z","abstract_excerpt":"For $C$ a complex curve and $n \\geq 1$, a pair $(\\mathcal{P},\\nabla_\\mathcal{P})$ of a principal bundle $\\mathcal{P}$ with meromorphic flat connection over $C^n$, holomorphic over the configuration space $C_n(C)$ of $n$ points over $C$, was introduced in arXiv:1112.0864. For any point $\\infty \\in C$, we construct a trivialisation of the restriction of $\\mathcal{P}$ to $(C\\setminus\\infty)^n$ and obtain a Maurer-Cartan element $J$ over $C_n(C\\setminus\\infty)$ out of $\\nabla_\\mathcal{P}$, thus generalising a construction of Levin and Racinet when the genus of $C$ is higher than one. We give expli"},"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":"2110.09341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-10-18T14:09:45Z","cross_cats_sorted":[],"title_canon_sha256":"556641e72e18794e4b99824237563c69cc24567bbe3931d64aaf79a1b6ebc44b","abstract_canon_sha256":"38dbf15edbe97e738d13bc57d8444167bc16a1a31128e1bd8707e65ba39d354f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:23:27.274058Z","signature_b64":"QJBk22DCdAR8cur2b4FSWu0+jnY36gD3ENoBAT06TfILhzM/txKyXP9N9Cg28u2B8Q29nTkNiWpaK0NPrd8gAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1057af11d12dc06d8749177655ca805659c21f2fe4d8433b0337ac406e9f7d18","last_reissued_at":"2026-07-05T03:23:27.273605Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:23:27.273605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of Maurer-Cartan elements over configuration spaces of 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":"2021-10-18T14:09:45Z","abstract_excerpt":"For $C$ a complex curve and $n \\geq 1$, a pair $(\\mathcal{P},\\nabla_\\mathcal{P})$ of a principal bundle $\\mathcal{P}$ with meromorphic flat connection over $C^n$, holomorphic over the configuration space $C_n(C)$ of $n$ points over $C$, was introduced in arXiv:1112.0864. For any point $\\infty \\in C$, we construct a trivialisation of the restriction of $\\mathcal{P}$ to $(C\\setminus\\infty)^n$ and obtain a Maurer-Cartan element $J$ over $C_n(C\\setminus\\infty)$ out of $\\nabla_\\mathcal{P}$, thus generalising a construction of Levin and Racinet when the genus of $C$ is higher than one. We give expli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.09341","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.09341/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":"2110.09341","created_at":"2026-07-05T03:23:27.273665+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.09341v1","created_at":"2026-07-05T03:23:27.273665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.09341","created_at":"2026-07-05T03:23:27.273665+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBL26EORFXAG","created_at":"2026-07-05T03:23:27.273665+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBL26EORFXAG3B2J","created_at":"2026-07-05T03:23:27.273665+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBL26EOR","created_at":"2026-07-05T03:23:27.273665+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":7,"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":30,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15240","citing_title":"A construction of single-valued elliptic polylogarithms","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2508.02800","citing_title":"Towards Motivic Coactions at Genus One from Zeta Generators","ref_index":199,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13794","citing_title":"The spectrum of Feynman-integral geometries at two loops","ref_index":116,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ","json":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ.json","graph_json":"https://pith.science/api/pith-number/CBL26EORFXAG3B2JC53FLSUAKZ/graph.json","events_json":"https://pith.science/api/pith-number/CBL26EORFXAG3B2JC53FLSUAKZ/events.json","paper":"https://pith.science/paper/CBL26EOR"},"agent_actions":{"view_html":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ","download_json":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ.json","view_paper":"https://pith.science/paper/CBL26EOR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.09341&json=true","fetch_graph":"https://pith.science/api/pith-number/CBL26EORFXAG3B2JC53FLSUAKZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CBL26EORFXAG3B2JC53FLSUAKZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ/action/storage_attestation","attest_author":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ/action/author_attestation","sign_citation":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ/action/citation_signature","submit_replication":"https://pith.science/pith/CBL26EORFXAG3B2JC53FLSUAKZ/action/replication_record"}},"created_at":"2026-07-05T03:23:27.273665+00:00","updated_at":"2026-07-05T03:23:27.273665+00:00"}