{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZPJ6A4GOJM6VSOCFI7IYQJ2CHO","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":"e38d344fe7e97329c621f9a2a3d99050cd7b17cd1f7316c2868b4e1b2e5b5fea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-05-11T13:14:47Z","title_canon_sha256":"975aa2b13344400bcb70f9a19b8021dc4b7da4bd2e9f2999b47317c5d6eed8cc"},"schema_version":"1.0","source":{"id":"1205.2516","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2516","created_at":"2026-05-18T03:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2516v1","created_at":"2026-05-18T03:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2516","created_at":"2026-05-18T03:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZPJ6A4GOJM6V","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZPJ6A4GOJM6VSOCF","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZPJ6A4GO","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:7e783ac91feb9f53866e1d857d892b6fe98d0be20016deaeb6dc57e07d2f2a14","target":"graph","created_at":"2026-05-18T03:55:48Z","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":"We survey and extend the theory of Tambara functors. These are algebraic structures similar to Mackey functors, but with multiplicative norm maps as well as additive transfer maps, and a rule governing their interaction that is most easily formulated in an abstract categorical framework. Examples include Burnside rings, representation rings, and homotopy groups of equivariant E-infinity ring spectra in stable homotopy theory. Some other examples are related to Witt rings in the sense of Dress and Siebeneicher.","authors_text":"Neil Strickland","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-05-11T13:14:47Z","title":"Tambara functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2516","kind":"arxiv","version":1},"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":"sha256:7af6d63b111480ce39de88f3fb39eb7fe65ef5a48027fa9a935ba08033bf03b5","target":"record","created_at":"2026-05-18T03:55:48Z","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":"e38d344fe7e97329c621f9a2a3d99050cd7b17cd1f7316c2868b4e1b2e5b5fea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-05-11T13:14:47Z","title_canon_sha256":"975aa2b13344400bcb70f9a19b8021dc4b7da4bd2e9f2999b47317c5d6eed8cc"},"schema_version":"1.0","source":{"id":"1205.2516","kind":"arxiv","version":1}},"canonical_sha256":"cbd3e070ce4b3d59384547d18827423bb76ecd98e5b75cea8dae8409c5730db6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbd3e070ce4b3d59384547d18827423bb76ecd98e5b75cea8dae8409c5730db6","first_computed_at":"2026-05-18T03:55:48.143770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:48.143770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZHPG0aH/altHEY7DzOlXzOG3fES5XXUGjvolbGYhHyUfyhimuyNlPFzYbrMoR+7rcqUhZyzp0OqRZU/d9BoAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:48.144234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2516","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7af6d63b111480ce39de88f3fb39eb7fe65ef5a48027fa9a935ba08033bf03b5","sha256:7e783ac91feb9f53866e1d857d892b6fe98d0be20016deaeb6dc57e07d2f2a14"],"state_sha256":"7faee5b1e823861cb41507bc923c23e6a84e450a03549c332e92b8b89048ee3d"}