{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TBCMG77YADXFE3BU5KOS2JEPTN","short_pith_number":"pith:TBCMG77Y","canonical_record":{"source":{"id":"1401.2661","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-01-12T19:49:43Z","cross_cats_sorted":[],"title_canon_sha256":"cf7a1447b32f2ea2560bbbe8ffe344903de0da62e90c48b582f95de54059dc42","abstract_canon_sha256":"80e7ff06eb8f7e1d6beab78989f8561b45c7a630c0e726572cb41838e8b801af"},"schema_version":"1.0"},"canonical_sha256":"9844c37ff800ee526c34ea9d2d248f9b5337a5ea08c02df8880a81d95e922da8","source":{"kind":"arxiv","id":"1401.2661","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2661","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2661v1","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2661","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"pith_short_12","alias_value":"TBCMG77YADXF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TBCMG77YADXFE3BU","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TBCMG77Y","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TBCMG77YADXFE3BU5KOS2JEPTN","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2661","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-01-12T19:49:43Z","cross_cats_sorted":[],"title_canon_sha256":"cf7a1447b32f2ea2560bbbe8ffe344903de0da62e90c48b582f95de54059dc42","abstract_canon_sha256":"80e7ff06eb8f7e1d6beab78989f8561b45c7a630c0e726572cb41838e8b801af"},"schema_version":"1.0"},"canonical_sha256":"9844c37ff800ee526c34ea9d2d248f9b5337a5ea08c02df8880a81d95e922da8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:32.631068Z","signature_b64":"Wu225/aCutYe9BxVHntFP6L/Vbi4nuSdAkiPdcjzrkGqOEvU7wdQ7WEXTqF3yXLdRxxy3XcnniDSehrIdxOgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9844c37ff800ee526c34ea9d2d248f9b5337a5ea08c02df8880a81d95e922da8","last_reissued_at":"2026-05-18T03:02:32.630353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:32.630353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2661","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":"2026-05-18T03:02:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZibroY09W+5RVPHvLCik/p4GTXSoaINKo6qIH/VD4wacHKDseYqttOxwIa6DT51YlIN/uYPajPL2SPSniiKuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:39:05.483253Z"},"content_sha256":"c6b6faeb83e8385e6b0974bbf402779789778cb92a74522de9caa84cce01c90a","schema_version":"1.0","event_id":"sha256:c6b6faeb83e8385e6b0974bbf402779789778cb92a74522de9caa84cce01c90a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TBCMG77YADXFE3BU5KOS2JEPTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irreducible bimodules over alternative algebras and superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Ivan Shestakov, Maria Trushina","submitted_at":"2014-01-12T19:49:43Z","abstract_excerpt":"The irreducible alternative superbimodules are studied. The complete classification is obtained for even bimodules of arbitrary dimension and for finite-dimensional irreducible superbimodules over an algebraically closed field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2661","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":"2026-05-18T03:02:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zBePWTbpTPAioo2XSs6tSP+V+LVxq6JH/Iwc6YpVTd2bW8WAVwzV6tp87+uLOgzswD46Ng3cBlx69hRAY8kzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:39:05.483601Z"},"content_sha256":"7f4adc9ea7509340839b54340e210fe54772bf6389ce29f4d2a6d7a118c37ce6","schema_version":"1.0","event_id":"sha256:7f4adc9ea7509340839b54340e210fe54772bf6389ce29f4d2a6d7a118c37ce6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBCMG77YADXFE3BU5KOS2JEPTN/bundle.json","state_url":"https://pith.science/pith/TBCMG77YADXFE3BU5KOS2JEPTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBCMG77YADXFE3BU5KOS2JEPTN/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":"2026-06-28T11:39:05Z","links":{"resolver":"https://pith.science/pith/TBCMG77YADXFE3BU5KOS2JEPTN","bundle":"https://pith.science/pith/TBCMG77YADXFE3BU5KOS2JEPTN/bundle.json","state":"https://pith.science/pith/TBCMG77YADXFE3BU5KOS2JEPTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBCMG77YADXFE3BU5KOS2JEPTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TBCMG77YADXFE3BU5KOS2JEPTN","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":"80e7ff06eb8f7e1d6beab78989f8561b45c7a630c0e726572cb41838e8b801af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-01-12T19:49:43Z","title_canon_sha256":"cf7a1447b32f2ea2560bbbe8ffe344903de0da62e90c48b582f95de54059dc42"},"schema_version":"1.0","source":{"id":"1401.2661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2661","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2661v1","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2661","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"pith_short_12","alias_value":"TBCMG77YADXF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TBCMG77YADXFE3BU","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TBCMG77Y","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:7f4adc9ea7509340839b54340e210fe54772bf6389ce29f4d2a6d7a118c37ce6","target":"graph","created_at":"2026-05-18T03:02:32Z","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":"The irreducible alternative superbimodules are studied. The complete classification is obtained for even bimodules of arbitrary dimension and for finite-dimensional irreducible superbimodules over an algebraically closed field.","authors_text":"Ivan Shestakov, Maria Trushina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-01-12T19:49:43Z","title":"Irreducible bimodules over alternative algebras and superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2661","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:c6b6faeb83e8385e6b0974bbf402779789778cb92a74522de9caa84cce01c90a","target":"record","created_at":"2026-05-18T03:02:32Z","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":"80e7ff06eb8f7e1d6beab78989f8561b45c7a630c0e726572cb41838e8b801af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-01-12T19:49:43Z","title_canon_sha256":"cf7a1447b32f2ea2560bbbe8ffe344903de0da62e90c48b582f95de54059dc42"},"schema_version":"1.0","source":{"id":"1401.2661","kind":"arxiv","version":1}},"canonical_sha256":"9844c37ff800ee526c34ea9d2d248f9b5337a5ea08c02df8880a81d95e922da8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9844c37ff800ee526c34ea9d2d248f9b5337a5ea08c02df8880a81d95e922da8","first_computed_at":"2026-05-18T03:02:32.630353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:32.630353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wu225/aCutYe9BxVHntFP6L/Vbi4nuSdAkiPdcjzrkGqOEvU7wdQ7WEXTqF3yXLdRxxy3XcnniDSehrIdxOgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:32.631068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6b6faeb83e8385e6b0974bbf402779789778cb92a74522de9caa84cce01c90a","sha256:7f4adc9ea7509340839b54340e210fe54772bf6389ce29f4d2a6d7a118c37ce6"],"state_sha256":"ef5905962ed0dae894efcead1fd4d2a37d9b51978bea4acb9f381854cd626314"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9B2jVQLDImCAtBfyYKUVlqCi3uwB3sgZbz+dYUNfNE55j+Re/IZ6pU84BOdTrjkNPTqVb1xYrS32U33Izi/QBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T11:39:05.485367Z","bundle_sha256":"170ce2d2f5daa141edaca98c451f72dd3ba44da500ce2e8e969a66db21fb52ab"}}