{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GPYT3GVPYOJYXKE7BGG2T5OGWI","short_pith_number":"pith:GPYT3GVP","canonical_record":{"source":{"id":"1509.01548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-04T18:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"b5b7fc0fee44c208a6129f8e3622fecb065ccbd9e345f020bf27cf68bfcab8b3","abstract_canon_sha256":"bc99dd712bd309ba05dee22ff86bc8279d14a1013f12280051734a1950f6c094"},"schema_version":"1.0"},"canonical_sha256":"33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61","source":{"kind":"arxiv","id":"1509.01548","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01548","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01548v2","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01548","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"pith_short_12","alias_value":"GPYT3GVPYOJY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GPYT3GVPYOJYXKE7","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GPYT3GVP","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GPYT3GVPYOJYXKE7BGG2T5OGWI","target":"record","payload":{"canonical_record":{"source":{"id":"1509.01548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-04T18:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"b5b7fc0fee44c208a6129f8e3622fecb065ccbd9e345f020bf27cf68bfcab8b3","abstract_canon_sha256":"bc99dd712bd309ba05dee22ff86bc8279d14a1013f12280051734a1950f6c094"},"schema_version":"1.0"},"canonical_sha256":"33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:21.206930Z","signature_b64":"uwcxJBimWk2HGjDhN3cpoxWZdwJF4KLojyljNgu01ZMpU6yH40nCLGtnbW4t7P0h/71qFVgAane0TAMfwJiXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61","last_reissued_at":"2026-05-18T01:02:21.206311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:21.206311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.01548","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+Y0eo/I3zxZoJRd9RSO6z3gR5kfvf+7nTMdDkhnTg4tfeVBy87ZzUVeby/0ZJw3KMh6armLhn5OYGL0yOmnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:14:01.122708Z"},"content_sha256":"de66675fe9e428790977b53eb1db7f6bea453fd07846ad8c07cc8c80024b7c33","schema_version":"1.0","event_id":"sha256:de66675fe9e428790977b53eb1db7f6bea453fd07846ad8c07cc8c80024b7c33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GPYT3GVPYOJYXKE7BGG2T5OGWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Examples of finite-dimensional Hopf algebras with the dual Chevalley property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"C\\'esar Galindo, Monique M\\\"uller, Nicol\\'as Andruskiewitsch","submitted_at":"2015-09-04T18:21:47Z","abstract_excerpt":"We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01548","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l2eIIhg+/q8ciaHQf3aGBf6sndaGHV2RBKnCG9TFyYaw+cz46cRi6ne4bZ4D2LxCk3Stoxrz/e/QI5+IIqxFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:14:01.123146Z"},"content_sha256":"113e05daf5eaa7abf40c74d6da26246e2359fc52f5cb84400a742760c549a003","schema_version":"1.0","event_id":"sha256:113e05daf5eaa7abf40c74d6da26246e2359fc52f5cb84400a742760c549a003"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/bundle.json","state_url":"https://pith.science/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T23:14:01Z","links":{"resolver":"https://pith.science/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI","bundle":"https://pith.science/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/bundle.json","state":"https://pith.science/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GPYT3GVPYOJYXKE7BGG2T5OGWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GPYT3GVPYOJYXKE7BGG2T5OGWI","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":"bc99dd712bd309ba05dee22ff86bc8279d14a1013f12280051734a1950f6c094","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-04T18:21:47Z","title_canon_sha256":"b5b7fc0fee44c208a6129f8e3622fecb065ccbd9e345f020bf27cf68bfcab8b3"},"schema_version":"1.0","source":{"id":"1509.01548","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01548","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01548v2","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01548","created_at":"2026-05-18T01:02:21Z"},{"alias_kind":"pith_short_12","alias_value":"GPYT3GVPYOJY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GPYT3GVPYOJYXKE7","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GPYT3GVP","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:113e05daf5eaa7abf40c74d6da26246e2359fc52f5cb84400a742760c549a003","target":"graph","created_at":"2026-05-18T01:02:21Z","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 present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra.","authors_text":"C\\'esar Galindo, Monique M\\\"uller, Nicol\\'as Andruskiewitsch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-04T18:21:47Z","title":"Examples of finite-dimensional Hopf algebras with the dual Chevalley property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01548","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:de66675fe9e428790977b53eb1db7f6bea453fd07846ad8c07cc8c80024b7c33","target":"record","created_at":"2026-05-18T01:02:21Z","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":"bc99dd712bd309ba05dee22ff86bc8279d14a1013f12280051734a1950f6c094","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-04T18:21:47Z","title_canon_sha256":"b5b7fc0fee44c208a6129f8e3622fecb065ccbd9e345f020bf27cf68bfcab8b3"},"schema_version":"1.0","source":{"id":"1509.01548","kind":"arxiv","version":2}},"canonical_sha256":"33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61","first_computed_at":"2026-05-18T01:02:21.206311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:21.206311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uwcxJBimWk2HGjDhN3cpoxWZdwJF4KLojyljNgu01ZMpU6yH40nCLGtnbW4t7P0h/71qFVgAane0TAMfwJiXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:21.206930Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01548","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de66675fe9e428790977b53eb1db7f6bea453fd07846ad8c07cc8c80024b7c33","sha256:113e05daf5eaa7abf40c74d6da26246e2359fc52f5cb84400a742760c549a003"],"state_sha256":"e7bd45e3ebde0752c0670bf9377fc29443bda6f2fadb633ff1b41d9c0bec4faa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sCq8rSTCqw9JYXaSDotMPvN0Zhb4lZB7Tv1Enl27csQInBV4JcwnQm2zbtZJnRUyMs5hpykfXr8SD1fR30wvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:14:01.125775Z","bundle_sha256":"bb55f1e0d0e2c2a0dbd147f4c857991879e41c81ce0bc3b0576531499334e84f"}}