{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EUDLDHYPXSD5EFEBVHEQQOB7QZ","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":"5623d06118894e2ed34473c8e9d776d92fc8c751a8fe17cc0cddd452915098dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-28T22:05:18Z","title_canon_sha256":"56f44211c96002e0cb80607895355ac8ff42c26c76226f7947cfd56959a9a646"},"schema_version":"1.0","source":{"id":"1606.08901","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08901","created_at":"2026-05-18T00:59:24Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08901v2","created_at":"2026-05-18T00:59:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08901","created_at":"2026-05-18T00:59:24Z"},{"alias_kind":"pith_short_12","alias_value":"EUDLDHYPXSD5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EUDLDHYPXSD5EFEB","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EUDLDHYP","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:ba1642f93ccd1e0c5b21981e1662bc4367256e75e4c13b17d93eff551e9e6787","target":"graph","created_at":"2026-05-18T00:59:24Z","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 show that the Eigenvariety attached to Hilbert modular forms over a totally real field $F$ is smooth at the points corresponding to certain classical weight one theta series and we give a precise criterion for etaleness over the weight space at those points. In the case where the theta series has real multiplication, we construct a non-classical overconvergent generalised eigenform and compute its Fourier coefficients in terms of $p$-adic logarithms of algebraic numbers. Our approach uses deformations and pseudo-deformations of Galois representations.","authors_text":"Adel Betina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-28T22:05:18Z","title":"Les Vari\\'et\\'es de Hecke-Hilbert aux points classiques de poids $1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08901","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":"sha256:3c5d21adf5d918afa67a63450f23b10baf1d21919dfb8400da054d990a08fea6","target":"record","created_at":"2026-05-18T00:59:24Z","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":"5623d06118894e2ed34473c8e9d776d92fc8c751a8fe17cc0cddd452915098dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-28T22:05:18Z","title_canon_sha256":"56f44211c96002e0cb80607895355ac8ff42c26c76226f7947cfd56959a9a646"},"schema_version":"1.0","source":{"id":"1606.08901","kind":"arxiv","version":2}},"canonical_sha256":"2506b19f0fbc87d21481a9c908383f86543ea062cd6b375641a06eb1134f9726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2506b19f0fbc87d21481a9c908383f86543ea062cd6b375641a06eb1134f9726","first_computed_at":"2026-05-18T00:59:24.596169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:24.596169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/XnrK6f4WLBNic8I8oVyvu+sg4BT85iH/tdIIRNgQqFBs6SQQFlAs/ME+3VTaMOE5r1p9Jhk0/APUKoFgRf1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:24.596792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08901","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5d21adf5d918afa67a63450f23b10baf1d21919dfb8400da054d990a08fea6","sha256:ba1642f93ccd1e0c5b21981e1662bc4367256e75e4c13b17d93eff551e9e6787"],"state_sha256":"a423677763dbff4690be37f9a076ee8c643eb4af65a4fce1996e6de5911ce446"}