{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YDBNARASIPBHXYSSUI7TCOFKCZ","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":"5e83aabe88723ff713029907b9f74c37f8eef2ff310096deb2536755c082ca07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-13T15:16:28Z","title_canon_sha256":"3ebad354f43029b86c853c48e5db30b5bfaa6600db535e6c57c46d22958b5438"},"schema_version":"1.0","source":{"id":"1302.3134","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3134","created_at":"2026-05-18T02:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3134v2","created_at":"2026-05-18T02:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3134","created_at":"2026-05-18T02:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"YDBNARASIPBH","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YDBNARASIPBHXYSS","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YDBNARAS","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:4324f9d441e09e302795766eebecb4129aef94d0c04bfa9fc2e9aa7b8da780c5","target":"graph","created_at":"2026-05-18T02:27:57Z","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"},"paper":{"abstract_excerpt":"In this paper, by using the trace map of Frobenius, we consider problems on extending sections for positive characteristic threefolds.","authors_text":"Hiromu Tanaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-13T15:16:28Z","title":"The trace map of Frobenius and extending sections for threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3134","kind":"arxiv","version":2},"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":"sha256:2f926c7410305e8ef072d73c78c7e0025caf56b7ffb6cb1467e6bb9ea418b3e2","target":"record","created_at":"2026-05-18T02:27:57Z","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":"5e83aabe88723ff713029907b9f74c37f8eef2ff310096deb2536755c082ca07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-13T15:16:28Z","title_canon_sha256":"3ebad354f43029b86c853c48e5db30b5bfaa6600db535e6c57c46d22958b5438"},"schema_version":"1.0","source":{"id":"1302.3134","kind":"arxiv","version":2}},"canonical_sha256":"c0c2d0441243c27be252a23f3138aa16488c106a992cf4196664031fd8261b1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0c2d0441243c27be252a23f3138aa16488c106a992cf4196664031fd8261b1f","first_computed_at":"2026-05-18T02:27:57.374027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:57.374027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uIozTzJ8cVUGh88Zn2FuSV4+sAxddHIqTuAeQ7OrSe5jokHjFfdVHCrCjDyMLj7u3sqd9EaBYqz8rayBxd0aBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:57.374651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3134","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f926c7410305e8ef072d73c78c7e0025caf56b7ffb6cb1467e6bb9ea418b3e2","sha256:4324f9d441e09e302795766eebecb4129aef94d0c04bfa9fc2e9aa7b8da780c5"],"state_sha256":"dd482d98f35054c07eff016e451972d05ab57a0834a4a225b6484eeb706e8dcf"}