{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:X7GWBTXEYQGOZKOIPVBOIYPOPM","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":"884b8b9054b9cd99da7c7ffcc6e158d00aee68cbe6cc7d5a9e1584db054ef9cd","cross_cats_sorted":["math.CA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.HO","submitted_at":"2022-11-03T18:34:07Z","title_canon_sha256":"bf99fc36be651be304f4479b64e7c8b16f0d740ddc697869f012e33a416a95ba"},"schema_version":"1.0","source":{"id":"2211.02088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.02088","created_at":"2026-07-05T05:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"2211.02088v1","created_at":"2026-07-05T05:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.02088","created_at":"2026-07-05T05:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"X7GWBTXEYQGO","created_at":"2026-07-05T05:13:11Z"},{"alias_kind":"pith_short_16","alias_value":"X7GWBTXEYQGOZKOI","created_at":"2026-07-05T05:13:11Z"},{"alias_kind":"pith_short_8","alias_value":"X7GWBTXE","created_at":"2026-07-05T05:13:11Z"}],"graph_snapshots":[{"event_id":"sha256:520fd5576bc374d4fd37eb0be5793e72a676eef84ac6a02d9a913d2c0288a16c","target":"graph","created_at":"2026-07-05T05:13:11Z","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/2211.02088/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is an English translation of Ostrowski's article \"\\\"Uber Dirichletsche Reihen und algebraische Differentialgleichungen\" published German in Math. Zeit. vol. 8, 1920, pp. 241-298. In this article, Ostrowski proves a conjecture of Hilbert that the two variable function $\\zeta(x,s)=\\sum_{n\\ge 1} \\frac{x^n}{n^s}$ cannot be written as a composition of analytic functions of one variable and algebraic functions of any number of variables.","authors_text":"Erik Christian Hansen, Jesse Wolfson, Yonathan Stone","cross_cats":["math.CA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.HO","submitted_at":"2022-11-03T18:34:07Z","title":"Alexander Ostrowski's \"On Dirichlet Series and Algebraic Differential Equations\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.02088","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:ba73017e797d3c129036606772852b69b5bf18acaad37d7f7cfd3d2c10c17ed8","target":"record","created_at":"2026-07-05T05:13:11Z","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":"884b8b9054b9cd99da7c7ffcc6e158d00aee68cbe6cc7d5a9e1584db054ef9cd","cross_cats_sorted":["math.CA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.HO","submitted_at":"2022-11-03T18:34:07Z","title_canon_sha256":"bf99fc36be651be304f4479b64e7c8b16f0d740ddc697869f012e33a416a95ba"},"schema_version":"1.0","source":{"id":"2211.02088","kind":"arxiv","version":1}},"canonical_sha256":"bfcd60cee4c40ceca9c87d42e461ee7b3cd1aaa99abd37f9b1c31028c5240d89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfcd60cee4c40ceca9c87d42e461ee7b3cd1aaa99abd37f9b1c31028c5240d89","first_computed_at":"2026-07-05T05:13:11.280604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:13:11.280604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Y8wRJ4q5cH1eKV61vnFoYIiBLvv0KYJIZloqwAwLNwSMAybqatUCNmQhyQ/vaXUfj6aYGzFQ8tAISGaCXJpCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:13:11.280987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.02088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba73017e797d3c129036606772852b69b5bf18acaad37d7f7cfd3d2c10c17ed8","sha256:520fd5576bc374d4fd37eb0be5793e72a676eef84ac6a02d9a913d2c0288a16c"],"state_sha256":"49ea6f79be83a2b57aa80d2aa11404040c3a738636a597552df3197937c26cbd"}