{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q5EWWNSSL6234RKQEBFS7UPBO6","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":"0da41a530b3eae8528cb6da9de17817d163d84146996f0ea45a56ffc78ed6423","cross_cats_sorted":["math.KT","math.NT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-05-01T12:38:06Z","title_canon_sha256":"d24f441c988349b9e73ee468df1ff8a0a0e6596cdbc88c5dec429a73774b93c8"},"schema_version":"1.0","source":{"id":"2305.00789","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.00789","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2305.00789v2","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.00789","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q5EWWNSSL623","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"Q5EWWNSSL6234RKQ","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"Q5EWWNSS","created_at":"2026-05-20T14:03:16Z"}],"graph_snapshots":[{"event_id":"sha256:23a728171f0365184a6b9526bc1b88e78e67ce54d016ac6135b2c4226d4b2e91","target":"graph","created_at":"2026-05-20T14:03:16Z","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/2305.00789/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\\mathbb{P}^1\\setminus \\{0, 1, \\infty\\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation. By results of Beilinson-Deligne, Huber-Wildeshaus, and Ayoub, this polylogarithm variation has a lift to the category of mixed Tate motives over $S$, whose existence is proved by computing the corresponding space of extensions in both the motivic and the Hodge settings. In this paper, we construct the polylogarithm motive as an explicit relative c","authors_text":"Cl\\'ement Dupont, Javier Fres\\'an","cross_cats":["math.KT","math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-05-01T12:38:06Z","title":"A construction of the polylogarithm motive"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.00789","kind":"arxiv","version":2},"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":"sha256:516f639506f125470ca9a9b7ca211fa89b1d6d6edf7d9464bd9f3a95496e508f","target":"record","created_at":"2026-05-20T14:03:16Z","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":"0da41a530b3eae8528cb6da9de17817d163d84146996f0ea45a56ffc78ed6423","cross_cats_sorted":["math.KT","math.NT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-05-01T12:38:06Z","title_canon_sha256":"d24f441c988349b9e73ee468df1ff8a0a0e6596cdbc88c5dec429a73774b93c8"},"schema_version":"1.0","source":{"id":"2305.00789","kind":"arxiv","version":2}},"canonical_sha256":"87496b36525fb5be4550204b2fd1e177a8ccb7eac1a67ca43350098ed5dd0dc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87496b36525fb5be4550204b2fd1e177a8ccb7eac1a67ca43350098ed5dd0dc2","first_computed_at":"2026-05-20T14:03:16.519594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:16.519594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e9ToalQ76CeJxPI/3OhYvsIaDyAYi5BZzN8oTq3ZkYo9C3Oi2JeOyLNNbvoNnXB/FuD+ULBTdq49fYeCgTSECQ==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:16.520032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.00789","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:516f639506f125470ca9a9b7ca211fa89b1d6d6edf7d9464bd9f3a95496e508f","sha256:23a728171f0365184a6b9526bc1b88e78e67ce54d016ac6135b2c4226d4b2e91"],"state_sha256":"922693e310ae6566e92203c84e1e364f606899ad9f903a20e838c6c56ad7da2c"}