{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:CUWS5ZFNHRZZFXAYKGPTN7DIWX","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":"aaf141435aac3fef4529d43a596aa09512cd69a0a7f174900a26e3eef79bd86b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2021-06-20T17:24:46Z","title_canon_sha256":"e0bee392b10aa8af1fae49b21da0283aaa1ab494d1bf6ff50fb0e4889b97d739"},"schema_version":"1.0","source":{"id":"2106.10729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10729","created_at":"2026-07-05T02:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10729v1","created_at":"2026-07-05T02:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10729","created_at":"2026-07-05T02:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"CUWS5ZFNHRZZ","created_at":"2026-07-05T02:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"CUWS5ZFNHRZZFXAY","created_at":"2026-07-05T02:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"CUWS5ZFN","created_at":"2026-07-05T02:50:52Z"}],"graph_snapshots":[{"event_id":"sha256:39384a1808d671d3b7fa24f05262594463b53c5e7ee9e805fb074cb463d65702","target":"graph","created_at":"2026-07-05T02:50:52Z","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/2106.10729/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this, the eighth article in my Derived Langlands series, I describe the construction of a 2-variable L-function for two representations of general linear groups of a $p$-adic local field. Due to extenuating health circumstances, many of the proofs and ideas herein are suggestive rather than the finished definitive versions.","authors_text":"Victor P. Snaith","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2021-06-20T17:24:46Z","title":"Derived Langlands VIII: Local GLn"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10729","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:a7699eb8412d9f40dc610e2c9b3d1c92b217d8f2f3b7e91d0bff76ae646473bf","target":"record","created_at":"2026-07-05T02:50:52Z","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":"aaf141435aac3fef4529d43a596aa09512cd69a0a7f174900a26e3eef79bd86b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2021-06-20T17:24:46Z","title_canon_sha256":"e0bee392b10aa8af1fae49b21da0283aaa1ab494d1bf6ff50fb0e4889b97d739"},"schema_version":"1.0","source":{"id":"2106.10729","kind":"arxiv","version":1}},"canonical_sha256":"152d2ee4ad3c7392dc18519f36fc68b5cd6bad9f0dc0beb3e87d807314d7baef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"152d2ee4ad3c7392dc18519f36fc68b5cd6bad9f0dc0beb3e87d807314d7baef","first_computed_at":"2026-07-05T02:50:52.687676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:50:52.687676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wDAACb3rB25ljAAR8OaxSFI35VmzXN87TopdRvnC9gZQnD2XIE08m+Ze7dnI8wgcZKFpBXwHw6Qh+exciaKHCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:50:52.688118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.10729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7699eb8412d9f40dc610e2c9b3d1c92b217d8f2f3b7e91d0bff76ae646473bf","sha256:39384a1808d671d3b7fa24f05262594463b53c5e7ee9e805fb074cb463d65702"],"state_sha256":"5308a0ef91d7cb512b0034b4971ac443be6ca2ddb8a03add3e54d11034b89183"}