{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DMP2XOGVVX6BICLB2XQP3IPCLX","short_pith_number":"pith:DMP2XOGV","canonical_record":{"source":{"id":"1508.07442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-08-29T12:39:35Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"47ebb1124891567722ed0c631d650fbc6b939f7fc8a99bc0478d3306d2f40a5f","abstract_canon_sha256":"4b0cad0d846579ccdcf20584dd273c7e8f399c9a2ab5cebfce4faca0a50e3b9f"},"schema_version":"1.0"},"canonical_sha256":"1b1fabb8d5adfc140961d5e0fda1e25df078dbe46a8310e94db8bf90fc57fb10","source":{"kind":"arxiv","id":"1508.07442","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07442","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07442v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07442","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"DMP2XOGVVX6B","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DMP2XOGVVX6BICLB","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DMP2XOGV","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DMP2XOGVVX6BICLB2XQP3IPCLX","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-08-29T12:39:35Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"47ebb1124891567722ed0c631d650fbc6b939f7fc8a99bc0478d3306d2f40a5f","abstract_canon_sha256":"4b0cad0d846579ccdcf20584dd273c7e8f399c9a2ab5cebfce4faca0a50e3b9f"},"schema_version":"1.0"},"canonical_sha256":"1b1fabb8d5adfc140961d5e0fda1e25df078dbe46a8310e94db8bf90fc57fb10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:32.286134Z","signature_b64":"sBiCwS69NegUe5vrETwOr/r3r+837MHtyJMKXc6kdMsElx/RxutJdgS69E7d6m0CFec/cMvzR600r/TLjL3bCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b1fabb8d5adfc140961d5e0fda1e25df078dbe46a8310e94db8bf90fc57fb10","last_reissued_at":"2026-05-18T01:34:32.285323Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:32.285323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07442","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WjVRHzM0KzK0PjkzvtGbIqvNkia0Q2RG9vRd3Nxb/sNiByGCmOqv3491Y2LdEX7Pyi3n5X6TfiZplapjYIw1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:32:43.684874Z"},"content_sha256":"38d7398168678ecc7726651bc3804aeae0a918f6f9903ed6b0b01d37173d02e1","schema_version":"1.0","event_id":"sha256:38d7398168678ecc7726651bc3804aeae0a918f6f9903ed6b0b01d37173d02e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DMP2XOGVVX6BICLB2XQP3IPCLX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Five-dimensional nilpotent evolution algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AC","authors_text":"A. S. Hegazi, Hani Abdelwahab","submitted_at":"2015-08-29T12:39:35Z","abstract_excerpt":"The paper is devoted to give a complete classification of five-dimension nilpotent evolution algebras over an algebraically closed field. We obtained a list of 27 isolated non-isomorphic nilpotent evolution algebras and 2 families of non-isomorphic algebras depending on one parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07442","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uJpzTPeRbA327/x+4IJSgOlhbNRSvHOPj4H3E4KZnhmelNBlKx+wzSAvEvyIhF7A8SWp9NJFQHD6NVPDPFQ2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:32:43.685248Z"},"content_sha256":"5569fc3c9041abe30eeeb8f96764c84fee07a015fb3d73613e8164d245ad94bd","schema_version":"1.0","event_id":"sha256:5569fc3c9041abe30eeeb8f96764c84fee07a015fb3d73613e8164d245ad94bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/bundle.json","state_url":"https://pith.science/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/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":"2026-06-10T23:32:43Z","links":{"resolver":"https://pith.science/pith/DMP2XOGVVX6BICLB2XQP3IPCLX","bundle":"https://pith.science/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/bundle.json","state":"https://pith.science/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DMP2XOGVVX6BICLB2XQP3IPCLX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DMP2XOGVVX6BICLB2XQP3IPCLX","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":"4b0cad0d846579ccdcf20584dd273c7e8f399c9a2ab5cebfce4faca0a50e3b9f","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-08-29T12:39:35Z","title_canon_sha256":"47ebb1124891567722ed0c631d650fbc6b939f7fc8a99bc0478d3306d2f40a5f"},"schema_version":"1.0","source":{"id":"1508.07442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07442","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07442v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07442","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"DMP2XOGVVX6B","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DMP2XOGVVX6BICLB","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DMP2XOGV","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:5569fc3c9041abe30eeeb8f96764c84fee07a015fb3d73613e8164d245ad94bd","target":"graph","created_at":"2026-05-18T01:34:32Z","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 paper is devoted to give a complete classification of five-dimension nilpotent evolution algebras over an algebraically closed field. We obtained a list of 27 isolated non-isomorphic nilpotent evolution algebras and 2 families of non-isomorphic algebras depending on one parameter.","authors_text":"A. S. Hegazi, Hani Abdelwahab","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-08-29T12:39:35Z","title":"Five-dimensional nilpotent evolution algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07442","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":"sha256:38d7398168678ecc7726651bc3804aeae0a918f6f9903ed6b0b01d37173d02e1","target":"record","created_at":"2026-05-18T01:34:32Z","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":"4b0cad0d846579ccdcf20584dd273c7e8f399c9a2ab5cebfce4faca0a50e3b9f","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-08-29T12:39:35Z","title_canon_sha256":"47ebb1124891567722ed0c631d650fbc6b939f7fc8a99bc0478d3306d2f40a5f"},"schema_version":"1.0","source":{"id":"1508.07442","kind":"arxiv","version":1}},"canonical_sha256":"1b1fabb8d5adfc140961d5e0fda1e25df078dbe46a8310e94db8bf90fc57fb10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b1fabb8d5adfc140961d5e0fda1e25df078dbe46a8310e94db8bf90fc57fb10","first_computed_at":"2026-05-18T01:34:32.285323Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:32.285323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sBiCwS69NegUe5vrETwOr/r3r+837MHtyJMKXc6kdMsElx/RxutJdgS69E7d6m0CFec/cMvzR600r/TLjL3bCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:32.286134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38d7398168678ecc7726651bc3804aeae0a918f6f9903ed6b0b01d37173d02e1","sha256:5569fc3c9041abe30eeeb8f96764c84fee07a015fb3d73613e8164d245ad94bd"],"state_sha256":"190278263242fb9369356e4fa03df02525b4e548eb8288e0abf7a458fd172961"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6Ua4tV0A/moGcB/xjQ/TRbdjLq35ZfUmVBEWt5R49tvkQs5P3Fl4oKhmRVHB4vLnKx4rUZTp1HRzXsfBqHpAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T23:32:43.688952Z","bundle_sha256":"1b5325c0c8835a01b3bde2537bfa93200d67c0bbfbf6569846b301416d7d503e"}}