{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:26QH7PSUV6ESOQ6CR3ANES3RYY","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":"1d3ab18d598c0ea09653bbdc6957085e6e5884dfc8f86b3a89ad7bee903d81ca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-30T01:55:41Z","title_canon_sha256":"ee43b4166ea2c6c760280be961382d6a56df526169089de89ebcd9f4bcf48336"},"schema_version":"1.0","source":{"id":"1403.7690","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7690","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7690v2","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7690","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"26QH7PSUV6ES","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"26QH7PSUV6ESOQ6C","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"26QH7PSU","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:f21424809064eb7c7e6e689410a74ad2945ee95e1bfbe3e4c1ed445135ac5c61","target":"graph","created_at":"2026-05-18T01:30:35Z","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"},"paper":{"abstract_excerpt":"We study the action of $\\operatorname{Gal}(\\overline{\\mathbb{Q}}/\\mathbb{Q})$ on the category of Belyi functions (finite, \\'{e}tale covers of $\\mathbb{P}^1_{\\overline{\\mathbb{Q}}}\\setminus \\{0,1,\\infty\\}$). We describe a new combinatorial $\\operatorname{Gal}(\\overline{\\mathbb{Q}}/\\mathbb{Q})$-invariant for whose monodromy cycle types above $0$ and $\\infty$ are the same. We use a version of our invariant to prove that $\\operatorname{Gal}(\\overline{\\mathbb{Q}}/\\mathbb{Q})$ acts faithfully on the set of Belyi functions whose monodromy cycle types above 0 and $\\infty$ are the same; the proof of th","authors_text":"Ravi Jagadeesan","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-30T01:55:41Z","title":"A new $\\operatorname{Gal}(\\overline{\\mathbb{Q}}/\\mathbb{Q})$-invariant of dessins d'enfants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7690","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:a5b9a8cbe7e3d5cecfb8ee2492ee01a4b41bbbf99086aec92422ead1f577daeb","target":"record","created_at":"2026-05-18T01:30:35Z","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":"1d3ab18d598c0ea09653bbdc6957085e6e5884dfc8f86b3a89ad7bee903d81ca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-30T01:55:41Z","title_canon_sha256":"ee43b4166ea2c6c760280be961382d6a56df526169089de89ebcd9f4bcf48336"},"schema_version":"1.0","source":{"id":"1403.7690","kind":"arxiv","version":2}},"canonical_sha256":"d7a07fbe54af892743c28ec0d24b71c63aa305773a26c2f00f6ca54d98d3be44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7a07fbe54af892743c28ec0d24b71c63aa305773a26c2f00f6ca54d98d3be44","first_computed_at":"2026-05-18T01:30:35.431843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:35.431843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uhki3La47Q5ize7dVeUkFuv/osqoqnMWU/trtRZibDusyYB6HTJ5M1Oi9n+Bpepc25lm4SkCLkX/tqCTtenmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:35.432567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7690","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5b9a8cbe7e3d5cecfb8ee2492ee01a4b41bbbf99086aec92422ead1f577daeb","sha256:f21424809064eb7c7e6e689410a74ad2945ee95e1bfbe3e4c1ed445135ac5c61"],"state_sha256":"b5f1eec79388e7e7da84f4404ebb517dd2aef0ef978a25a98a29d164df9e23c8"}