{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:2RYLMOLR2I2DLZ5W4FKMIFDVEH","short_pith_number":"pith:2RYLMOLR","schema_version":"1.0","canonical_sha256":"d470b63971d23435e7b6e154c4147521eb1970e9bbd017878375e469995f3e78","source":{"kind":"arxiv","id":"1210.3997","version":1},"attestation_state":"computed","paper":{"title":"Remark on equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Amit Hogadi, Supriya Pisolkar","submitted_at":"2012-10-15T12:21:16Z","abstract_excerpt":"Let $L/K$ be a finite Galois extension of complete discrete valued fields of characteristic $p$. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer $n\\geq 0$, let $W_n(\\sO_L)$ denote the ring of Witt vectors of length $n$ with coefficients in $\\sO_L$. We show that the proabelian group ${H^1(G,W_n(\\sO_L))}_{n\\in \\N}$ is zero. This is an equicharacteristic analogue of Hesselholt's conjecture."},"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":"1210.3997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-15T12:21:16Z","cross_cats_sorted":[],"title_canon_sha256":"b6f14d7396c386d8c931118b440ab1d2109895b031462d97fe53c00bfd25f51a","abstract_canon_sha256":"f43b94835bdf429414dd179bbac4320635974cb91306694d939f1cdbf611b460"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:08.337500Z","signature_b64":"0TiaBltUspLiBx+1znqUU6MptBryw6cK2wUC0s/mIRa0NWnF4vwDvewSaGnD8tA22kAWuEJeQjOeBHbTiA5dAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d470b63971d23435e7b6e154c4147521eb1970e9bbd017878375e469995f3e78","last_reissued_at":"2026-05-18T03:43:08.336951Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:08.336951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Remark on equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Amit Hogadi, Supriya Pisolkar","submitted_at":"2012-10-15T12:21:16Z","abstract_excerpt":"Let $L/K$ be a finite Galois extension of complete discrete valued fields of characteristic $p$. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer $n\\geq 0$, let $W_n(\\sO_L)$ denote the ring of Witt vectors of length $n$ with coefficients in $\\sO_L$. We show that the proabelian group ${H^1(G,W_n(\\sO_L))}_{n\\in \\N}$ is zero. This is an equicharacteristic analogue of Hesselholt's conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3997","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":"1210.3997","created_at":"2026-05-18T03:43:08.337033+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3997v1","created_at":"2026-05-18T03:43:08.337033+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3997","created_at":"2026-05-18T03:43:08.337033+00:00"},{"alias_kind":"pith_short_12","alias_value":"2RYLMOLR2I2D","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"2RYLMOLR2I2DLZ5W","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"2RYLMOLR","created_at":"2026-05-18T12:26:50.516681+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/2RYLMOLR2I2DLZ5W4FKMIFDVEH","json":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH.json","graph_json":"https://pith.science/api/pith-number/2RYLMOLR2I2DLZ5W4FKMIFDVEH/graph.json","events_json":"https://pith.science/api/pith-number/2RYLMOLR2I2DLZ5W4FKMIFDVEH/events.json","paper":"https://pith.science/paper/2RYLMOLR"},"agent_actions":{"view_html":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH","download_json":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH.json","view_paper":"https://pith.science/paper/2RYLMOLR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3997&json=true","fetch_graph":"https://pith.science/api/pith-number/2RYLMOLR2I2DLZ5W4FKMIFDVEH/graph.json","fetch_events":"https://pith.science/api/pith-number/2RYLMOLR2I2DLZ5W4FKMIFDVEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH/action/storage_attestation","attest_author":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH/action/author_attestation","sign_citation":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH/action/citation_signature","submit_replication":"https://pith.science/pith/2RYLMOLR2I2DLZ5W4FKMIFDVEH/action/replication_record"}},"created_at":"2026-05-18T03:43:08.337033+00:00","updated_at":"2026-05-18T03:43:08.337033+00:00"}