{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YZSLWXBXP3ALG7APJAN6XY2FN3","short_pith_number":"pith:YZSLWXBX","canonical_record":{"source":{"id":"1907.08775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-07-20T08:31:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"052fd981e3879eb3dac08c903f00b7f8c45471a7cadd2ee76675b291ce18aea4","abstract_canon_sha256":"35e59ff91a647146202c5ffdedaa89c16fe877550710c7e3e648e18759c21d37"},"schema_version":"1.0"},"canonical_sha256":"c664bb5c377ec0b37c0f481bebe3456eda7637269f86824e9b948341f851bf2e","source":{"kind":"arxiv","id":"1907.08775","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.08775","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"1907.08775v1","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08775","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"YZSLWXBXP3AL","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YZSLWXBXP3ALG7AP","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YZSLWXBX","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YZSLWXBXP3ALG7APJAN6XY2FN3","target":"record","payload":{"canonical_record":{"source":{"id":"1907.08775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-07-20T08:31:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"052fd981e3879eb3dac08c903f00b7f8c45471a7cadd2ee76675b291ce18aea4","abstract_canon_sha256":"35e59ff91a647146202c5ffdedaa89c16fe877550710c7e3e648e18759c21d37"},"schema_version":"1.0"},"canonical_sha256":"c664bb5c377ec0b37c0f481bebe3456eda7637269f86824e9b948341f851bf2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:05.399958Z","signature_b64":"FOfhXiuqkhMHTyqcluLcAe/tWSRDFUxLvCOzglHi3CUvpeaEjV1mjQanWOMxD0eR6lzfOkg22oz3lFcIRjNICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c664bb5c377ec0b37c0f481bebe3456eda7637269f86824e9b948341f851bf2e","last_reissued_at":"2026-05-17T23:40:05.399215Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:05.399215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.08775","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":"2026-05-17T23:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9Esu+2BV1h2ohpskRBJmR1jTg2YWmQIgehDEJ1O60Y0UtOcxY8E1qbbEcgaZlTkIhVyys9Q8rLxhtX1HWgaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:10.288532Z"},"content_sha256":"699f8be4167c8b74d9edacb417e6764287690ed32a051fcbd9c5f6f8e9ce8383","schema_version":"1.0","event_id":"sha256:699f8be4167c8b74d9edacb417e6764287690ed32a051fcbd9c5f6f8e9ce8383"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YZSLWXBXP3ALG7APJAN6XY2FN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The unbroken spectrum of Frobenius seaweeds II: type-B and type-C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Alex Cameron, Coton Magnant, Jr., Matthew Hyatt, Vincent E. Coll","submitted_at":"2019-07-20T08:31:32Z","abstract_excerpt":"Analogous to the Type-$A_{n-1}=\\mathfrak{sl}(n)$ case, we show that if $\\mathfrak{g}$ is a Frobenius seaweed subalgebra of $B_{n}=\\mathfrak{so}(2n+1)$ or $C_{n}=\\mathfrak{sp}(2n)$, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a symmetric distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08775","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":"2026-05-17T23:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VAtEU/v0A3vvS9P6mo+5SluvT/hHDFnC542KQbsiOafclJDX1d4IwefjyNPAifyKg+3P+mQNJxAywryzKWfzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:10.289172Z"},"content_sha256":"830a2de2bb109440a6f4aa12fb9c974217e9fbf4142d1eed6b0c485bf1f61572","schema_version":"1.0","event_id":"sha256:830a2de2bb109440a6f4aa12fb9c974217e9fbf4142d1eed6b0c485bf1f61572"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/bundle.json","state_url":"https://pith.science/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/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":"2026-05-26T21:36:10Z","links":{"resolver":"https://pith.science/pith/YZSLWXBXP3ALG7APJAN6XY2FN3","bundle":"https://pith.science/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/bundle.json","state":"https://pith.science/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZSLWXBXP3ALG7APJAN6XY2FN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YZSLWXBXP3ALG7APJAN6XY2FN3","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":"35e59ff91a647146202c5ffdedaa89c16fe877550710c7e3e648e18759c21d37","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-07-20T08:31:32Z","title_canon_sha256":"052fd981e3879eb3dac08c903f00b7f8c45471a7cadd2ee76675b291ce18aea4"},"schema_version":"1.0","source":{"id":"1907.08775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.08775","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"1907.08775v1","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08775","created_at":"2026-05-17T23:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"YZSLWXBXP3AL","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YZSLWXBXP3ALG7AP","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YZSLWXBX","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:830a2de2bb109440a6f4aa12fb9c974217e9fbf4142d1eed6b0c485bf1f61572","target":"graph","created_at":"2026-05-17T23:40:05Z","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":"Analogous to the Type-$A_{n-1}=\\mathfrak{sl}(n)$ case, we show that if $\\mathfrak{g}$ is a Frobenius seaweed subalgebra of $B_{n}=\\mathfrak{so}(2n+1)$ or $C_{n}=\\mathfrak{sp}(2n)$, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a symmetric distribution.","authors_text":"Alex Cameron, Coton Magnant, Jr., Matthew Hyatt, Vincent E. Coll","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-07-20T08:31:32Z","title":"The unbroken spectrum of Frobenius seaweeds II: type-B and type-C"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08775","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":"sha256:699f8be4167c8b74d9edacb417e6764287690ed32a051fcbd9c5f6f8e9ce8383","target":"record","created_at":"2026-05-17T23:40:05Z","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":"35e59ff91a647146202c5ffdedaa89c16fe877550710c7e3e648e18759c21d37","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-07-20T08:31:32Z","title_canon_sha256":"052fd981e3879eb3dac08c903f00b7f8c45471a7cadd2ee76675b291ce18aea4"},"schema_version":"1.0","source":{"id":"1907.08775","kind":"arxiv","version":1}},"canonical_sha256":"c664bb5c377ec0b37c0f481bebe3456eda7637269f86824e9b948341f851bf2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c664bb5c377ec0b37c0f481bebe3456eda7637269f86824e9b948341f851bf2e","first_computed_at":"2026-05-17T23:40:05.399215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:05.399215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FOfhXiuqkhMHTyqcluLcAe/tWSRDFUxLvCOzglHi3CUvpeaEjV1mjQanWOMxD0eR6lzfOkg22oz3lFcIRjNICQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:05.399958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.08775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:699f8be4167c8b74d9edacb417e6764287690ed32a051fcbd9c5f6f8e9ce8383","sha256:830a2de2bb109440a6f4aa12fb9c974217e9fbf4142d1eed6b0c485bf1f61572"],"state_sha256":"c45820577d962bac22016ef54f5e02cb31d66d8abea92b7e2b2626741a44cff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/muJ5IjJlKLi+OOTW3vrsJ1YmDMw6oBBSDuU5MuyEbpAV/An35Cj+jRJCKq2tgW5U5M6Jwh8TguxyHZFRpCDCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:36:10.293054Z","bundle_sha256":"73394e815663adb3c4185c197a7a59242962c478fd2bfdc59529a4af84f19018"}}