{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:Z5B6NFUJ6J2OESF5UJ6BDT66KF","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":"8e9f4be9f29bc6621af1b6242fa53c130ac1a02025f7a7bb87026e7c26897709","cross_cats_sorted":["cond-mat.str-el","hep-th","math-ph","math.AT","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2021-11-02T05:24:06Z","title_canon_sha256":"767a688a34958bd757f3f098dbf56dc117de08ad4cd4b559d7c48dceeb2af1e8"},"schema_version":"1.0","source":{"id":"2111.01377","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.01377","created_at":"2026-07-05T03:48:20Z"},{"alias_kind":"arxiv_version","alias_value":"2111.01377v2","created_at":"2026-07-05T03:48:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.01377","created_at":"2026-07-05T03:48:20Z"},{"alias_kind":"pith_short_12","alias_value":"Z5B6NFUJ6J2O","created_at":"2026-07-05T03:48:20Z"},{"alias_kind":"pith_short_16","alias_value":"Z5B6NFUJ6J2OESF5","created_at":"2026-07-05T03:48:20Z"},{"alias_kind":"pith_short_8","alias_value":"Z5B6NFUJ","created_at":"2026-07-05T03:48:20Z"}],"graph_snapshots":[{"event_id":"sha256:076881393696aaed28cb25d783095ccdc293523fa609e848c6e56c3189479f65","target":"graph","created_at":"2026-07-05T03:48:20Z","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/2111.01377/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct models of the differential $KO$-theory and the twisted differential $KO$-theory, by refining Karoubi's $KO$-theory [Kar78] in terms of gradations on Clifford modules. In order for this, we set up the generalized Clifford superconnection formalism which generalizes the Quillen's superconnection formalism [Qui85]. One of our models can be regarded as classifying \"fermionic mass terms\" in physics.","authors_text":"Kiyonori Gomi, Mayuko Yamashita","cross_cats":["cond-mat.str-el","hep-th","math-ph","math.AT","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2021-11-02T05:24:06Z","title":"Differential $KO$-theory via gradations and mass terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.01377","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":"sha256:2a08d1ea54a036b9cb34542589a8e29f22380216fbced379f1488c81314e5a8a","target":"record","created_at":"2026-07-05T03:48:20Z","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":"8e9f4be9f29bc6621af1b6242fa53c130ac1a02025f7a7bb87026e7c26897709","cross_cats_sorted":["cond-mat.str-el","hep-th","math-ph","math.AT","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.KT","submitted_at":"2021-11-02T05:24:06Z","title_canon_sha256":"767a688a34958bd757f3f098dbf56dc117de08ad4cd4b559d7c48dceeb2af1e8"},"schema_version":"1.0","source":{"id":"2111.01377","kind":"arxiv","version":2}},"canonical_sha256":"cf43e69689f274e248bda27c11cfde51636edcb0e353851090d54f71f2906973","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf43e69689f274e248bda27c11cfde51636edcb0e353851090d54f71f2906973","first_computed_at":"2026-07-05T03:48:20.021202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:48:20.021202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cXxrcEUQc1ANH1lFnZW4klVYWKwGANK7KMkZoOZdIjLwrljMW1m3MkYRuHmGArbfooGjRLoJIOPUC45hlbpnBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:48:20.021675Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.01377","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a08d1ea54a036b9cb34542589a8e29f22380216fbced379f1488c81314e5a8a","sha256:076881393696aaed28cb25d783095ccdc293523fa609e848c6e56c3189479f65"],"state_sha256":"ddcd2ccdeb316ef93fccea05a802ef8d25070603ff67631172bfdcb7a1fa873d"}