{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LHHZGGQTT2TFDNDHF25WLUJ5GF","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":"7949a8fcce7def85e2bf125fa5dca46118140b192be52c705c54ff0474053b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-01-31T14:47:43Z","title_canon_sha256":"da024491c8b566a28fefd3dc2db5a950dc599f30beba254d0faf29310215e044"},"schema_version":"1.0","source":{"id":"1101.5982","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5982","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5982v3","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5982","created_at":"2026-05-18T04:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"LHHZGGQTT2TF","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LHHZGGQTT2TFDNDH","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LHHZGGQT","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:56467c78c68249e0ecb51dde54f4a4e8a282cf26d2fed495b41fa76a8773cd22","target":"graph","created_at":"2026-05-18T04:26:22Z","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":"For a finite group $G$, a Tambara functor on $G$ is regarded as a $G$-bivariant analog of a commutative ring. In this article, we consider a $G$-bivariant analog of the ideal theory for Tambara functors.","authors_text":"Hiroyuki Nakaoka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-01-31T14:47:43Z","title":"Ideals of Tambara functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5982","kind":"arxiv","version":3},"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":"sha256:33ab6d60679beae15d2ae2c4850c6af2d63b99a4179f1ea5b42e9c10aaf69f4c","target":"record","created_at":"2026-05-18T04:26:22Z","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":"7949a8fcce7def85e2bf125fa5dca46118140b192be52c705c54ff0474053b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-01-31T14:47:43Z","title_canon_sha256":"da024491c8b566a28fefd3dc2db5a950dc599f30beba254d0faf29310215e044"},"schema_version":"1.0","source":{"id":"1101.5982","kind":"arxiv","version":3}},"canonical_sha256":"59cf931a139ea651b4672ebb65d13d3147568482cfb85db64225489d303bd292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59cf931a139ea651b4672ebb65d13d3147568482cfb85db64225489d303bd292","first_computed_at":"2026-05-18T04:26:22.627681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:22.627681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Khoi3A3T13SMnRWIntc57SqHdRDcVgHB82+ADFMEknJRuXxb7/IRx/garRvtp0ReJIZqtwMdQLc7TXG3cDH8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:22.628022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5982","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33ab6d60679beae15d2ae2c4850c6af2d63b99a4179f1ea5b42e9c10aaf69f4c","sha256:56467c78c68249e0ecb51dde54f4a4e8a282cf26d2fed495b41fa76a8773cd22"],"state_sha256":"43a23a27bdb4fdfcd9a9c95dbdc765e1151d3073ac94b800ba1c9546aa46d813"}