{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7PB2SBVSLDVIGGBE5REASPYLQ6","short_pith_number":"pith:7PB2SBVS","canonical_record":{"source":{"id":"1906.08175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-06-19T15:47:58Z","cross_cats_sorted":[],"title_canon_sha256":"8bac6def06f760257ee7154833550373351cd6866a7b1ab38f24d53c4511cb7d","abstract_canon_sha256":"257fec2f2ba924b10ac07370cf4582ecd2ac50552637307d0b5e701c398f87f6"},"schema_version":"1.0"},"canonical_sha256":"fbc3a906b258ea831824ec48093f0b878597c9c804d0aea0b048c623f0b2c0f7","source":{"kind":"arxiv","id":"1906.08175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.08175","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1906.08175v1","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08175","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"7PB2SBVSLDVI","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7PB2SBVSLDVIGGBE","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7PB2SBVS","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7PB2SBVSLDVIGGBE5REASPYLQ6","target":"record","payload":{"canonical_record":{"source":{"id":"1906.08175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-06-19T15:47:58Z","cross_cats_sorted":[],"title_canon_sha256":"8bac6def06f760257ee7154833550373351cd6866a7b1ab38f24d53c4511cb7d","abstract_canon_sha256":"257fec2f2ba924b10ac07370cf4582ecd2ac50552637307d0b5e701c398f87f6"},"schema_version":"1.0"},"canonical_sha256":"fbc3a906b258ea831824ec48093f0b878597c9c804d0aea0b048c623f0b2c0f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:54.411449Z","signature_b64":"+4+qUbGsJWkmzQR/4PCBrFTN+I3+Xo41VbpO+df12cMzl3w/wxqmg2NccO9kP4LcHxBX25vBVPPf8FXJ4IQ2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbc3a906b258ea831824ec48093f0b878597c9c804d0aea0b048c623f0b2c0f7","last_reissued_at":"2026-05-17T23:42:54.410878Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:54.410878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.08175","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"34zMnDgfRZn0BMM3ooUkX/1pLqFlpKaqc98/tTqAVwZTrJ9dmiCtH6JeWRyjxuQ4ICw6bBG5QQFGfR04SoxODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:35.168050Z"},"content_sha256":"4895732eca867cc9cc840648d8727db49752cace2c6f6d15cc7a896fd8571e7e","schema_version":"1.0","event_id":"sha256:4895732eca867cc9cc840648d8727db49752cace2c6f6d15cc7a896fd8571e7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7PB2SBVSLDVIGGBE5REASPYLQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identities in Brandt semigroups, revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Mikhail V. Volkov","submitted_at":"2019-06-19T15:47:58Z","abstract_excerpt":"We present a new proof for the main claim made in the author's paper \"On the identity bases of Brandt semigroups\" (Ural. Gos. Univ. Mat. Zap. 14, no.1 (1985), 38--42); this claim provides an identity basis for an arbitrary Brandt semigroup over a group of finite exponent. We also show how to fill a gap in the original proof of the claim in loc. cit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08175","kind":"arxiv","version":1},"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":"2026-05-17T23:42:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V+a53Meqke+dFm9U2igAex2qAi3K6Zu0M1QnlTe1+q+Y06V1T4YG8gn1xISsmO4Ve94WADbuHhTj4bpZQmcDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:35.168705Z"},"content_sha256":"5eb77ec457297e20c6584bd9b0b16a883bf7e1a74e263befe09380f97f9cc6cb","schema_version":"1.0","event_id":"sha256:5eb77ec457297e20c6584bd9b0b16a883bf7e1a74e263befe09380f97f9cc6cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/bundle.json","state_url":"https://pith.science/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/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":"2026-05-26T11:55:35Z","links":{"resolver":"https://pith.science/pith/7PB2SBVSLDVIGGBE5REASPYLQ6","bundle":"https://pith.science/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/bundle.json","state":"https://pith.science/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PB2SBVSLDVIGGBE5REASPYLQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7PB2SBVSLDVIGGBE5REASPYLQ6","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":"257fec2f2ba924b10ac07370cf4582ecd2ac50552637307d0b5e701c398f87f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-06-19T15:47:58Z","title_canon_sha256":"8bac6def06f760257ee7154833550373351cd6866a7b1ab38f24d53c4511cb7d"},"schema_version":"1.0","source":{"id":"1906.08175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.08175","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1906.08175v1","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08175","created_at":"2026-05-17T23:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"7PB2SBVSLDVI","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7PB2SBVSLDVIGGBE","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7PB2SBVS","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:5eb77ec457297e20c6584bd9b0b16a883bf7e1a74e263befe09380f97f9cc6cb","target":"graph","created_at":"2026-05-17T23:42:54Z","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 a new proof for the main claim made in the author's paper \"On the identity bases of Brandt semigroups\" (Ural. Gos. Univ. Mat. Zap. 14, no.1 (1985), 38--42); this claim provides an identity basis for an arbitrary Brandt semigroup over a group of finite exponent. We also show how to fill a gap in the original proof of the claim in loc. cit.","authors_text":"Mikhail V. Volkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-06-19T15:47:58Z","title":"Identities in Brandt semigroups, revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08175","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":"sha256:4895732eca867cc9cc840648d8727db49752cace2c6f6d15cc7a896fd8571e7e","target":"record","created_at":"2026-05-17T23:42:54Z","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":"257fec2f2ba924b10ac07370cf4582ecd2ac50552637307d0b5e701c398f87f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-06-19T15:47:58Z","title_canon_sha256":"8bac6def06f760257ee7154833550373351cd6866a7b1ab38f24d53c4511cb7d"},"schema_version":"1.0","source":{"id":"1906.08175","kind":"arxiv","version":1}},"canonical_sha256":"fbc3a906b258ea831824ec48093f0b878597c9c804d0aea0b048c623f0b2c0f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbc3a906b258ea831824ec48093f0b878597c9c804d0aea0b048c623f0b2c0f7","first_computed_at":"2026-05-17T23:42:54.410878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:54.410878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+4+qUbGsJWkmzQR/4PCBrFTN+I3+Xo41VbpO+df12cMzl3w/wxqmg2NccO9kP4LcHxBX25vBVPPf8FXJ4IQ2Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:54.411449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.08175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4895732eca867cc9cc840648d8727db49752cace2c6f6d15cc7a896fd8571e7e","sha256:5eb77ec457297e20c6584bd9b0b16a883bf7e1a74e263befe09380f97f9cc6cb"],"state_sha256":"dad9f1b7340948504dbf5776d32d9f0a49688ffc1b505edb1a44568260074915"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H4r9jx6ccjf/Fm+NYP0t3JLseg8Wb2Xby1laM+UeqXiT1StmNlC8DO80ScRVVbzlLieWErcD53f53+jtTAtvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:55:35.171540Z","bundle_sha256":"44b6d3badcd110ac00555d25ad0d41024bf7b253e6c396787af14c855d35d3b7"}}