{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ETBM2RNPM4KQ27IMFPHBCC3VDW","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":"4beee77f7cc4e6f58faa475516b97a3789c606028cc0e815fdb6e87d73fe944e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-01T13:51:55Z","title_canon_sha256":"7152bf398e7e2fb168b669136194aafb18be7f140001218dd6cade98572ff51e"},"schema_version":"1.0","source":{"id":"1706.00301","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00301","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00301v1","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00301","created_at":"2026-05-18T00:43:14Z"},{"alias_kind":"pith_short_12","alias_value":"ETBM2RNPM4KQ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ETBM2RNPM4KQ27IM","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ETBM2RNP","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:3bd961b92bcc3908513542d74ad0b6aa3823779e73828b734925fb65a5673f23","target":"graph","created_at":"2026-05-18T00:43:14Z","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":"This article adapts the results of arXiv:1305.6557 to the ultrametric setting. This is a re-edition of the Chapter V of author thesis.","authors_text":"Rodolphe Richard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-01T13:51:55Z","title":"R\\'esultat g\\'eom\\'etrique sur les repr\\'esentations de groupes r\\'eductifs sur un corps ultram\\'etrique"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00301","kind":"arxiv","version":1},"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":"sha256:9cc94c37d8159a033aa8b2a8a56eb1232857dcd64c92aa903675a84547823686","target":"record","created_at":"2026-05-18T00:43:14Z","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":"4beee77f7cc4e6f58faa475516b97a3789c606028cc0e815fdb6e87d73fe944e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-01T13:51:55Z","title_canon_sha256":"7152bf398e7e2fb168b669136194aafb18be7f140001218dd6cade98572ff51e"},"schema_version":"1.0","source":{"id":"1706.00301","kind":"arxiv","version":1}},"canonical_sha256":"24c2cd45af67150d7d0c2bce110b751d93231214e7a3329f57d70a694ad9fe97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24c2cd45af67150d7d0c2bce110b751d93231214e7a3329f57d70a694ad9fe97","first_computed_at":"2026-05-18T00:43:14.413623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:14.413623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WHxcWcRwPCKhJ323LCkf9VNcifmaQXsCtfWlL7E7V3mqorgVt3+meIB+gletU2AD8jAuwj9OE73dYb/d8UPVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:14.414114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00301","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cc94c37d8159a033aa8b2a8a56eb1232857dcd64c92aa903675a84547823686","sha256:3bd961b92bcc3908513542d74ad0b6aa3823779e73828b734925fb65a5673f23"],"state_sha256":"c858751d6808670ce895c2651edc0027f6f0a6d902e7cbc13e6c40ef09a899bb"}