{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QR2L6KCN2OVHDCA2HKW7BMMK5Q","short_pith_number":"pith:QR2L6KCN","schema_version":"1.0","canonical_sha256":"8474bf284dd3aa71881a3aadf0b18aec3b2cd4cc6c4ba5053fa4c9c5f1a893ad","source":{"kind":"arxiv","id":"1608.00709","version":4},"attestation_state":"computed","paper":{"title":"Jordan constant for Cremona group of rank 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Constantin Shramov, Yuri Prokhorov","submitted_at":"2016-08-02T06:29:23Z","abstract_excerpt":"We give explicit bounds for Jordan constants of groups of birational automorphisms of rationally connected threefolds over fields of zero characteristic, in particular, for Cremona groups of ranks 2 and 3."},"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":"1608.00709","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-02T06:29:23Z","cross_cats_sorted":[],"title_canon_sha256":"aa63866a36b9cedafdb1d3899016b432e274e4026985bd4dc2650717d5671528","abstract_canon_sha256":"5c8ed12a5bb35ca687c34dcd7aa0bda6d6e8b52f45c375719f024cb3bee134d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:31.484151Z","signature_b64":"X50+xIp61PEmNnmfXQojv8b3h1nzYORwK9V5XVb+R7B493NSnQgssmH2ZrkOY9kdh+6LvnpVkqpV3D+P+P4bBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8474bf284dd3aa71881a3aadf0b18aec3b2cd4cc6c4ba5053fa4c9c5f1a893ad","last_reissued_at":"2026-05-18T00:29:31.483457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:31.483457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jordan constant for Cremona group of rank 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Constantin Shramov, Yuri Prokhorov","submitted_at":"2016-08-02T06:29:23Z","abstract_excerpt":"We give explicit bounds for Jordan constants of groups of birational automorphisms of rationally connected threefolds over fields of zero characteristic, in particular, for Cremona groups of ranks 2 and 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00709","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":"1608.00709","created_at":"2026-05-18T00:29:31.483559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.00709v4","created_at":"2026-05-18T00:29:31.483559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00709","created_at":"2026-05-18T00:29:31.483559+00:00"},{"alias_kind":"pith_short_12","alias_value":"QR2L6KCN2OVH","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"QR2L6KCN2OVHDCA2","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"QR2L6KCN","created_at":"2026-05-18T12:30:41.710351+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/QR2L6KCN2OVHDCA2HKW7BMMK5Q","json":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q.json","graph_json":"https://pith.science/api/pith-number/QR2L6KCN2OVHDCA2HKW7BMMK5Q/graph.json","events_json":"https://pith.science/api/pith-number/QR2L6KCN2OVHDCA2HKW7BMMK5Q/events.json","paper":"https://pith.science/paper/QR2L6KCN"},"agent_actions":{"view_html":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q","download_json":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q.json","view_paper":"https://pith.science/paper/QR2L6KCN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.00709&json=true","fetch_graph":"https://pith.science/api/pith-number/QR2L6KCN2OVHDCA2HKW7BMMK5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/QR2L6KCN2OVHDCA2HKW7BMMK5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q/action/storage_attestation","attest_author":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q/action/author_attestation","sign_citation":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q/action/citation_signature","submit_replication":"https://pith.science/pith/QR2L6KCN2OVHDCA2HKW7BMMK5Q/action/replication_record"}},"created_at":"2026-05-18T00:29:31.483559+00:00","updated_at":"2026-05-18T00:29:31.483559+00:00"}