{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:DAE3AKONGLQ25F23NOGGHEYEXZ","short_pith_number":"pith:DAE3AKON","canonical_record":{"source":{"id":"0707.4160","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-07-27T18:32:23Z","cross_cats_sorted":[],"title_canon_sha256":"331cf8a218a7321f5cd45b08ef285c6a37e195001fa19eca8a571b42a8a8455c","abstract_canon_sha256":"bea1aceb472e3cfbbb6f5abca79e3010f63c7d39a12d423471a101930bd33439"},"schema_version":"1.0"},"canonical_sha256":"1809b029cd32e1ae975b6b8c639304be57966f4b507f220bedd5d195752ec85c","source":{"kind":"arxiv","id":"0707.4160","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4160","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4160v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4160","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"DAE3AKONGLQ2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DAE3AKONGLQ25F23","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DAE3AKON","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:DAE3AKONGLQ25F23NOGGHEYEXZ","target":"record","payload":{"canonical_record":{"source":{"id":"0707.4160","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-07-27T18:32:23Z","cross_cats_sorted":[],"title_canon_sha256":"331cf8a218a7321f5cd45b08ef285c6a37e195001fa19eca8a571b42a8a8455c","abstract_canon_sha256":"bea1aceb472e3cfbbb6f5abca79e3010f63c7d39a12d423471a101930bd33439"},"schema_version":"1.0"},"canonical_sha256":"1809b029cd32e1ae975b6b8c639304be57966f4b507f220bedd5d195752ec85c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:56.067080Z","signature_b64":"uZd8dykI87hyA9+KprtRr8a2bS5tlirOAW1OL9XqYk6zERDPPg/t+LhENZKTG4k0dTGhOOvq3vc7z6q+kSZtDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1809b029cd32e1ae975b6b8c639304be57966f4b507f220bedd5d195752ec85c","last_reissued_at":"2026-05-18T03:42:56.066430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:56.066430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.4160","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":"2026-05-18T03:42:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOnSmn9qcQP3d7ty2hgyrdFWahgbXlCXBTayVuaFupWsoHP+gSeX+SGC3rTcQ/rQwCwPGriTmiPWL1PfSzhyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:02:10.976613Z"},"content_sha256":"dd59ea3907481c8a0cd5dca712ca45c517ff96f9ad8c56ad43cd5cff656f501b","schema_version":"1.0","event_id":"sha256:dd59ea3907481c8a0cd5dca712ca45c517ff96f9ad8c56ad43cd5cff656f501b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:DAE3AKONGLQ25F23NOGGHEYEXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite vertex algebras and nilpotence","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alessandro D'Andrea","submitted_at":"2007-07-27T18:32:23Z","abstract_excerpt":"I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebra is nilpotent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4160","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":"2026-05-18T03:42:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlndYBLzU0ax9sXdJlTqCW33pQJNxEUPFPts0R86ZzMoJ8enULCuawklFGyAGftlrS7y7y17g+lK5d4cfJCuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:02:10.976940Z"},"content_sha256":"d1e4c738553b866f4aec37985098fad0389447fd469b3a0438c908d5fbd13054","schema_version":"1.0","event_id":"sha256:d1e4c738553b866f4aec37985098fad0389447fd469b3a0438c908d5fbd13054"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/bundle.json","state_url":"https://pith.science/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/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":"2026-06-30T11:02:10Z","links":{"resolver":"https://pith.science/pith/DAE3AKONGLQ25F23NOGGHEYEXZ","bundle":"https://pith.science/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/bundle.json","state":"https://pith.science/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAE3AKONGLQ25F23NOGGHEYEXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:DAE3AKONGLQ25F23NOGGHEYEXZ","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":"bea1aceb472e3cfbbb6f5abca79e3010f63c7d39a12d423471a101930bd33439","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2007-07-27T18:32:23Z","title_canon_sha256":"331cf8a218a7321f5cd45b08ef285c6a37e195001fa19eca8a571b42a8a8455c"},"schema_version":"1.0","source":{"id":"0707.4160","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4160","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4160v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4160","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"DAE3AKONGLQ2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DAE3AKONGLQ25F23","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DAE3AKON","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:d1e4c738553b866f4aec37985098fad0389447fd469b3a0438c908d5fbd13054","target":"graph","created_at":"2026-05-18T03:42:56Z","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":"I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebra is nilpotent.","authors_text":"Alessandro D'Andrea","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2007-07-27T18:32:23Z","title":"Finite vertex algebras and nilpotence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4160","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:dd59ea3907481c8a0cd5dca712ca45c517ff96f9ad8c56ad43cd5cff656f501b","target":"record","created_at":"2026-05-18T03:42:56Z","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":"bea1aceb472e3cfbbb6f5abca79e3010f63c7d39a12d423471a101930bd33439","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2007-07-27T18:32:23Z","title_canon_sha256":"331cf8a218a7321f5cd45b08ef285c6a37e195001fa19eca8a571b42a8a8455c"},"schema_version":"1.0","source":{"id":"0707.4160","kind":"arxiv","version":1}},"canonical_sha256":"1809b029cd32e1ae975b6b8c639304be57966f4b507f220bedd5d195752ec85c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1809b029cd32e1ae975b6b8c639304be57966f4b507f220bedd5d195752ec85c","first_computed_at":"2026-05-18T03:42:56.066430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:56.066430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uZd8dykI87hyA9+KprtRr8a2bS5tlirOAW1OL9XqYk6zERDPPg/t+LhENZKTG4k0dTGhOOvq3vc7z6q+kSZtDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:56.067080Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.4160","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd59ea3907481c8a0cd5dca712ca45c517ff96f9ad8c56ad43cd5cff656f501b","sha256:d1e4c738553b866f4aec37985098fad0389447fd469b3a0438c908d5fbd13054"],"state_sha256":"28ab5b4ec094868c11c3cb13da8b6f8b573f9db3159ff1791c2b203c81e09f3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BNmE8NrOT5IrBjlXsp+C1Oq/ombmUtD1Z1HVJbIKytvLCWlKOGl0RffdCCUAhty9CeTAtlLHK+8ARp1iM7nCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T11:02:10.978758Z","bundle_sha256":"ea19ffaab96a6d03aca8914681642650ab022c903aac53460e016b68585f352b"}}