{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YPN7SPL7QRPPTCVESDKDZ4ZVCU","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":"6681159c8f033dd40c8315a5b3983413160fb645aaaf6f55609446e88188f5b7","cross_cats_sorted":["math.CT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-10-31T14:41:45Z","title_canon_sha256":"b55558e3cd66384b908ee54b7488b69eb8e1fb2230b7c27124a48452924cb05f"},"schema_version":"1.0","source":{"id":"2210.17364","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.17364","created_at":"2026-07-05T11:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.17364v3","created_at":"2026-07-05T11:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.17364","created_at":"2026-07-05T11:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"YPN7SPL7QRPP","created_at":"2026-07-05T11:14:45Z"},{"alias_kind":"pith_short_16","alias_value":"YPN7SPL7QRPPTCVE","created_at":"2026-07-05T11:14:45Z"},{"alias_kind":"pith_short_8","alias_value":"YPN7SPL7","created_at":"2026-07-05T11:14:45Z"}],"graph_snapshots":[{"event_id":"sha256:4a9c4e211f7ec682b8293c318d3ae69d738e2496cddabd652fb0bb6b23cbdd8f","target":"graph","created_at":"2026-07-05T11:14:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.17364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a theory of generalized characters of local systems in $\\infty$-categories, which extends classical character theory for group representations and, in particular, the induced character formula. A key aspect of our approach is that we utilize the interaction between traces and their categorifications. We apply this theory to reprove and refine various results on the composability of Becker-Gottlieb transfers, the Hochschild homology of Thom spectra, and the additivity of traces in stable $\\infty$-categories.","authors_text":"Bastiaan Cnossen, Lior Yanovski, Maxime Ramzi, Shachar Carmeli","cross_cats":["math.CT","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-10-31T14:41:45Z","title":"Characters and transfer maps via categorified traces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.17364","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:e73ed6a694a74549b81c526eb15efec810c03ccdbf7a1ea9995d2e78729023b7","target":"record","created_at":"2026-07-05T11:14:45Z","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":"6681159c8f033dd40c8315a5b3983413160fb645aaaf6f55609446e88188f5b7","cross_cats_sorted":["math.CT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-10-31T14:41:45Z","title_canon_sha256":"b55558e3cd66384b908ee54b7488b69eb8e1fb2230b7c27124a48452924cb05f"},"schema_version":"1.0","source":{"id":"2210.17364","kind":"arxiv","version":3}},"canonical_sha256":"c3dbf93d7f845ef98aa490d43cf3351528f7d6342a2c0b024fcafd2922d87f97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3dbf93d7f845ef98aa490d43cf3351528f7d6342a2c0b024fcafd2922d87f97","first_computed_at":"2026-07-05T11:14:45.128212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:45.128212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1VVcR0V6MJcLNHr5jen8/dU+ioBwKdJuMB2vRXkqWy/1uzSSfYI371OqLYN2REZSAPxUXjAruqSxZvz6MG1FCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:45.128719Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.17364","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e73ed6a694a74549b81c526eb15efec810c03ccdbf7a1ea9995d2e78729023b7","sha256:4a9c4e211f7ec682b8293c318d3ae69d738e2496cddabd652fb0bb6b23cbdd8f"],"state_sha256":"21de71081510728d86ba28ff457ebd653e85499caffa15405796707fbd0a8d90"}