{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5FHUZQO42EMYDGEM4QG2O2Z5RT","short_pith_number":"pith:5FHUZQO4","schema_version":"1.0","canonical_sha256":"e94f4cc1dcd11981988ce40da76b3d8cc1dbd0fd71ebd4e1d4a5a7fd5e9e7dd9","source":{"kind":"arxiv","id":"1111.4109","version":4},"attestation_state":"computed","paper":{"title":"Karoubi's relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.NT"],"primary_cat":"math.AG","authors_text":"Georg Tamme","submitted_at":"2011-11-17T14:26:26Z","abstract_excerpt":"We construct a variant of Karoubi's relative Chern character for smooth, separated schemes over the ring of integers in a p-adic field and prove a comparison with the rigid syntomic regulator. For smooth projective schemes we further relate the relative Chern character to the etale p-adic regulator via the Bloch-Kato exponential map. This reproves a result of Huber and Kings for the spectrum of the ring of integers and generalizes it to all smooth projective schemes as above."},"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":"1111.4109","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-17T14:26:26Z","cross_cats_sorted":["math.KT","math.NT"],"title_canon_sha256":"f73433b180bdef3f2aeb1a373d4bab7c88d1e3764ee9001954109e53e7a2b9ab","abstract_canon_sha256":"3825f66ee5305528fcd07120e209bee9f5397ce1ff6add13688f223d17209858"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:48.002522Z","signature_b64":"SfMV78Ug1noDU6UD0gXkW4QllNtp9I3e1aXyFTCTMqCkVV8juOCQuTdh+hzkoHVm/Qrn6HcCajX4tRjTAQJyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e94f4cc1dcd11981988ce40da76b3d8cc1dbd0fd71ebd4e1d4a5a7fd5e9e7dd9","last_reissued_at":"2026-05-18T02:44:48.002106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:48.002106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Karoubi's relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.NT"],"primary_cat":"math.AG","authors_text":"Georg Tamme","submitted_at":"2011-11-17T14:26:26Z","abstract_excerpt":"We construct a variant of Karoubi's relative Chern character for smooth, separated schemes over the ring of integers in a p-adic field and prove a comparison with the rigid syntomic regulator. For smooth projective schemes we further relate the relative Chern character to the etale p-adic regulator via the Bloch-Kato exponential map. This reproves a result of Huber and Kings for the spectrum of the ring of integers and generalizes it to all smooth projective schemes as above."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4109","kind":"arxiv","version":4},"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":"1111.4109","created_at":"2026-05-18T02:44:48.002167+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4109v4","created_at":"2026-05-18T02:44:48.002167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4109","created_at":"2026-05-18T02:44:48.002167+00:00"},{"alias_kind":"pith_short_12","alias_value":"5FHUZQO42EMY","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5FHUZQO42EMYDGEM","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5FHUZQO4","created_at":"2026-05-18T12:26:20.644004+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/5FHUZQO42EMYDGEM4QG2O2Z5RT","json":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT.json","graph_json":"https://pith.science/api/pith-number/5FHUZQO42EMYDGEM4QG2O2Z5RT/graph.json","events_json":"https://pith.science/api/pith-number/5FHUZQO42EMYDGEM4QG2O2Z5RT/events.json","paper":"https://pith.science/paper/5FHUZQO4"},"agent_actions":{"view_html":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT","download_json":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT.json","view_paper":"https://pith.science/paper/5FHUZQO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4109&json=true","fetch_graph":"https://pith.science/api/pith-number/5FHUZQO42EMYDGEM4QG2O2Z5RT/graph.json","fetch_events":"https://pith.science/api/pith-number/5FHUZQO42EMYDGEM4QG2O2Z5RT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT/action/storage_attestation","attest_author":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT/action/author_attestation","sign_citation":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT/action/citation_signature","submit_replication":"https://pith.science/pith/5FHUZQO42EMYDGEM4QG2O2Z5RT/action/replication_record"}},"created_at":"2026-05-18T02:44:48.002167+00:00","updated_at":"2026-05-18T02:44:48.002167+00:00"}