{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:W4D4FZOQZGBAHNLSUDFVFWYJEF","short_pith_number":"pith:W4D4FZOQ","canonical_record":{"source":{"id":"0710.1587","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-10-08T16:37:33Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"2e97b27f1287442743a28a93301c6fbf29552693b88e040e3279dc3e2296ec7b","abstract_canon_sha256":"ee17ddf7ee8fb341b49fe8815669681f58c404b8361c1e3a6aa4536956a084c8"},"schema_version":"1.0"},"canonical_sha256":"b707c2e5d0c98203b572a0cb52db09216e3219d106e58529df55df1d698ed939","source":{"kind":"arxiv","id":"0710.1587","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1587","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1587v1","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1587","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"W4D4FZOQZGBA","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_16","alias_value":"W4D4FZOQZGBAHNLS","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_8","alias_value":"W4D4FZOQ","created_at":"2026-07-04T15:04:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:W4D4FZOQZGBAHNLSUDFVFWYJEF","target":"record","payload":{"canonical_record":{"source":{"id":"0710.1587","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-10-08T16:37:33Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"2e97b27f1287442743a28a93301c6fbf29552693b88e040e3279dc3e2296ec7b","abstract_canon_sha256":"ee17ddf7ee8fb341b49fe8815669681f58c404b8361c1e3a6aa4536956a084c8"},"schema_version":"1.0"},"canonical_sha256":"b707c2e5d0c98203b572a0cb52db09216e3219d106e58529df55df1d698ed939","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:04:45.942243Z","signature_b64":"mX6CAlV3g2rkcegxuINQdCeyNm8x4Sv7Pz3wmlYPAzwI8GZqKZQuggV3DQ8KFFKNHo7kGv4pq5X45tHVGOA7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b707c2e5d0c98203b572a0cb52db09216e3219d106e58529df55df1d698ed939","last_reissued_at":"2026-07-04T15:04:45.941856Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:04:45.941856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.1587","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":"2026-07-04T15:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EdKjXQklCf+m0DdeQLuC6Yff0S4Rouu7Bf3+NGGpFfg39juqbbIUkLuh7SSwgqRUv6Lg3EHEnW15v9pfhQZxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T14:58:44.457325Z"},"content_sha256":"d61fe51dc1dac3b5f46f39d2269fb47cd87d4d825d57b21928ed9cdcc90283a6","schema_version":"1.0","event_id":"sha256:d61fe51dc1dac3b5f46f39d2269fb47cd87d4d825d57b21928ed9cdcc90283a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:W4D4FZOQZGBAHNLSUDFVFWYJEF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SUSY Lattice Vertex Algebras","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"math.QA","authors_text":"Reimundo Heluani, Victor G. Kac","submitted_at":"2007-10-08T16:37:33Z","abstract_excerpt":"We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the simple vertex algebra associated to the vertex algebra $V_c(N3)$ of central charge $c=3/2$, as the SUSY lattice vertex algebra associated to $\\mathbb{Z}$ with bilinear form $(a,b) = 2ab$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1587","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0710.1587/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJwNB/RTzZtLFQ18uzwBP49hTREiQYFgATyH0qXNXMqA6oZKjzMTUnlqdLj6xCbOX5a9oRbUgZ4WTb84nOwICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T14:58:44.457845Z"},"content_sha256":"6a93c42e126e38a68c0a88f4b6ee2b8108018753726cba5e779410466268cf54","schema_version":"1.0","event_id":"sha256:6a93c42e126e38a68c0a88f4b6ee2b8108018753726cba5e779410466268cf54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/bundle.json","state_url":"https://pith.science/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/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":"2026-08-09T14:58:44Z","links":{"resolver":"https://pith.science/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF","bundle":"https://pith.science/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/bundle.json","state":"https://pith.science/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4D4FZOQZGBAHNLSUDFVFWYJEF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:W4D4FZOQZGBAHNLSUDFVFWYJEF","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":"ee17ddf7ee8fb341b49fe8815669681f58c404b8361c1e3a6aa4536956a084c8","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.QA","submitted_at":"2007-10-08T16:37:33Z","title_canon_sha256":"2e97b27f1287442743a28a93301c6fbf29552693b88e040e3279dc3e2296ec7b"},"schema_version":"1.0","source":{"id":"0710.1587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1587","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1587v1","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1587","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"W4D4FZOQZGBA","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_16","alias_value":"W4D4FZOQZGBAHNLS","created_at":"2026-07-04T15:04:45Z"},{"alias_kind":"pith_short_8","alias_value":"W4D4FZOQ","created_at":"2026-07-04T15:04:45Z"}],"graph_snapshots":[{"event_id":"sha256:6a93c42e126e38a68c0a88f4b6ee2b8108018753726cba5e779410466268cf54","target":"graph","created_at":"2026-07-04T15:04:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0710.1587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the simple vertex algebra associated to the vertex algebra $V_c(N3)$ of central charge $c=3/2$, as the SUSY lattice vertex algebra associated to $\\mathbb{Z}$ with bilinear form $(a,b) = 2ab$.","authors_text":"Reimundo Heluani, Victor G. Kac","cross_cats":["math.OA"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2007-10-08T16:37:33Z","title":"SUSY Lattice Vertex Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1587","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:d61fe51dc1dac3b5f46f39d2269fb47cd87d4d825d57b21928ed9cdcc90283a6","target":"record","created_at":"2026-07-04T15:04:45Z","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":"ee17ddf7ee8fb341b49fe8815669681f58c404b8361c1e3a6aa4536956a084c8","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.QA","submitted_at":"2007-10-08T16:37:33Z","title_canon_sha256":"2e97b27f1287442743a28a93301c6fbf29552693b88e040e3279dc3e2296ec7b"},"schema_version":"1.0","source":{"id":"0710.1587","kind":"arxiv","version":1}},"canonical_sha256":"b707c2e5d0c98203b572a0cb52db09216e3219d106e58529df55df1d698ed939","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b707c2e5d0c98203b572a0cb52db09216e3219d106e58529df55df1d698ed939","first_computed_at":"2026-07-04T15:04:45.941856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:04:45.941856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mX6CAlV3g2rkcegxuINQdCeyNm8x4Sv7Pz3wmlYPAzwI8GZqKZQuggV3DQ8KFFKNHo7kGv4pq5X45tHVGOA7DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:04:45.942243Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.1587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d61fe51dc1dac3b5f46f39d2269fb47cd87d4d825d57b21928ed9cdcc90283a6","sha256:6a93c42e126e38a68c0a88f4b6ee2b8108018753726cba5e779410466268cf54"],"state_sha256":"25a2f2561aecc9a16197ba003ddc809a3b9e455999876b882bf3226d6ea9a4ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R3Fi6hUvRjUOfA557ZhsgWtk9aINIUR24KiIX8lE3gMMwS1253LGW1ewJRnJU22wRKSCFtarmPo2jHwhlNmmAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T14:58:44.462802Z","bundle_sha256":"b2392954136a92c85b8155d35e6f4fc33148bbcc5a597089c6dec698dea3ebad"}}