{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QIPC3KHJAEOL2GP6XAKNMBGVUC","short_pith_number":"pith:QIPC3KHJ","schema_version":"1.0","canonical_sha256":"821e2da8e9011cbd19feb814d604d5a0aded4e08a0e9784ab1761824565dde29","source":{"kind":"arxiv","id":"1411.6280","version":3},"attestation_state":"computed","paper":{"title":"On the rationality of certain type A Galois representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Chun Yin Hui","submitted_at":"2014-11-23T18:34:17Z","abstract_excerpt":"Let $X$ be a complete smooth variety defined over number field $K$ and $i$ an integer. The absolute Galois group of $K$ acts on the $i$th $l$-adic etale cohomology of $X$ for all $l$, producing a system of $l$-adic representations $\\{\\Phi_l\\}$. The conjectures of Grothendieck, Tate, and Mumford-Tate predict that the identity component of the algebraic monodromy group of $\\Phi_\\ell$ admits a common reductive $Q$-form for all $l$ if $X$ is projective. Denote by $\\Gamma_l$ and $G_l$ respectively the monodromy group and the algebraic monodromy group of $\\Phi_l^{ss}$, the semisimplification of $\\Ph"},"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":"1411.6280","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-23T18:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"c87f68da1be7082e52242294219d1ed7f79f8daadcfb8b9f2f611659bfd3f380","abstract_canon_sha256":"fbd731a488f2333a3b5dbb785bfa08e239277e4885633ddbf40779885e00ab95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:09.995338Z","signature_b64":"mAS4pHh5A1FCLJHBqD3jeKK9Oq2DntHBzMXMH4Mqb5SpomJAjCqrps2MkBoqs+a/Z7YMyw5JXCl7NZv0Waw3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"821e2da8e9011cbd19feb814d604d5a0aded4e08a0e9784ab1761824565dde29","last_reissued_at":"2026-05-18T00:50:09.994775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:09.994775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the rationality of certain type A Galois representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Chun Yin Hui","submitted_at":"2014-11-23T18:34:17Z","abstract_excerpt":"Let $X$ be a complete smooth variety defined over number field $K$ and $i$ an integer. The absolute Galois group of $K$ acts on the $i$th $l$-adic etale cohomology of $X$ for all $l$, producing a system of $l$-adic representations $\\{\\Phi_l\\}$. The conjectures of Grothendieck, Tate, and Mumford-Tate predict that the identity component of the algebraic monodromy group of $\\Phi_\\ell$ admits a common reductive $Q$-form for all $l$ if $X$ is projective. Denote by $\\Gamma_l$ and $G_l$ respectively the monodromy group and the algebraic monodromy group of $\\Phi_l^{ss}$, the semisimplification of $\\Ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6280","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":""},"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":"1411.6280","created_at":"2026-05-18T00:50:09.994856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.6280v3","created_at":"2026-05-18T00:50:09.994856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6280","created_at":"2026-05-18T00:50:09.994856+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIPC3KHJAEOL","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIPC3KHJAEOL2GP6","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIPC3KHJ","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC","json":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC.json","graph_json":"https://pith.science/api/pith-number/QIPC3KHJAEOL2GP6XAKNMBGVUC/graph.json","events_json":"https://pith.science/api/pith-number/QIPC3KHJAEOL2GP6XAKNMBGVUC/events.json","paper":"https://pith.science/paper/QIPC3KHJ"},"agent_actions":{"view_html":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC","download_json":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC.json","view_paper":"https://pith.science/paper/QIPC3KHJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.6280&json=true","fetch_graph":"https://pith.science/api/pith-number/QIPC3KHJAEOL2GP6XAKNMBGVUC/graph.json","fetch_events":"https://pith.science/api/pith-number/QIPC3KHJAEOL2GP6XAKNMBGVUC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC/action/storage_attestation","attest_author":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC/action/author_attestation","sign_citation":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC/action/citation_signature","submit_replication":"https://pith.science/pith/QIPC3KHJAEOL2GP6XAKNMBGVUC/action/replication_record"}},"created_at":"2026-05-18T00:50:09.994856+00:00","updated_at":"2026-05-18T00:50:09.994856+00:00"}