{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZPAWQG2XO7FGOZ6FCRODHTCUAC","short_pith_number":"pith:ZPAWQG2X","schema_version":"1.0","canonical_sha256":"cbc1681b5777ca6767c5145c33cc5400acbce419dd5794d8252251ae5a559c41","source":{"kind":"arxiv","id":"1312.3756","version":1},"attestation_state":"computed","paper":{"title":"Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Freddy Van Oystaeyen, Nikolaas Verhulst","submitted_at":"2013-12-13T10:17:08Z","abstract_excerpt":"We look at value functions of primes in simple Artinian rings and associate arithmetical pseudo-valuations to Dubrovin valuation rings which, in the Noetherian case, are $\\mathbb{Z}$-valued. This allows a divisor theory for bounded Krull domains."},"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":"1312.3756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-12-13T10:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"45b000c688270c56053e6370edcc3b794dfb00181c427ca1ac1da770e285001b","abstract_canon_sha256":"b978ddd0878aecb6285968cc800456f9627490c2fa0ad62b45648a9b9ce73f70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:47.747930Z","signature_b64":"1cjMemiTf/d0Lsx6HsggAfo6jreQaDCxfNewurrIJmJprCPbUo5peg8Qz9CyOgpUhNiAyJQpe6kQpJiPKGboAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc1681b5777ca6767c5145c33cc5400acbce419dd5794d8252251ae5a559c41","last_reissued_at":"2026-05-18T03:04:47.747122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:47.747122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Freddy Van Oystaeyen, Nikolaas Verhulst","submitted_at":"2013-12-13T10:17:08Z","abstract_excerpt":"We look at value functions of primes in simple Artinian rings and associate arithmetical pseudo-valuations to Dubrovin valuation rings which, in the Noetherian case, are $\\mathbb{Z}$-valued. This allows a divisor theory for bounded Krull domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3756","kind":"arxiv","version":1},"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":"1312.3756","created_at":"2026-05-18T03:04:47.747271+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.3756v1","created_at":"2026-05-18T03:04:47.747271+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3756","created_at":"2026-05-18T03:04:47.747271+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZPAWQG2XO7FG","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZPAWQG2XO7FGOZ6F","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZPAWQG2X","created_at":"2026-05-18T12:28:09.283467+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/ZPAWQG2XO7FGOZ6FCRODHTCUAC","json":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC.json","graph_json":"https://pith.science/api/pith-number/ZPAWQG2XO7FGOZ6FCRODHTCUAC/graph.json","events_json":"https://pith.science/api/pith-number/ZPAWQG2XO7FGOZ6FCRODHTCUAC/events.json","paper":"https://pith.science/paper/ZPAWQG2X"},"agent_actions":{"view_html":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC","download_json":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC.json","view_paper":"https://pith.science/paper/ZPAWQG2X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.3756&json=true","fetch_graph":"https://pith.science/api/pith-number/ZPAWQG2XO7FGOZ6FCRODHTCUAC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZPAWQG2XO7FGOZ6FCRODHTCUAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC/action/storage_attestation","attest_author":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC/action/author_attestation","sign_citation":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC/action/citation_signature","submit_replication":"https://pith.science/pith/ZPAWQG2XO7FGOZ6FCRODHTCUAC/action/replication_record"}},"created_at":"2026-05-18T03:04:47.747271+00:00","updated_at":"2026-05-18T03:04:47.747271+00:00"}