{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VQOOF4SV7NLVAFANMR76U2TYA7","short_pith_number":"pith:VQOOF4SV","canonical_record":{"source":{"id":"1602.06930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-22T20:33:39Z","cross_cats_sorted":[],"title_canon_sha256":"f1ce9f33d8c5f3d041a77ea16345b2c26eb5f1aa80b7b8366337b6f02a482640","abstract_canon_sha256":"e308cade443f57316302e80ab496497a36256b5c99f4558fefc98830996c1672"},"schema_version":"1.0"},"canonical_sha256":"ac1ce2f255fb5750140d647fea6a7807fdfcf0161d8d1ea1792667531e656273","source":{"kind":"arxiv","id":"1602.06930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06930","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06930v1","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06930","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"pith_short_12","alias_value":"VQOOF4SV7NLV","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VQOOF4SV7NLVAFAN","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VQOOF4SV","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VQOOF4SV7NLVAFANMR76U2TYA7","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-22T20:33:39Z","cross_cats_sorted":[],"title_canon_sha256":"f1ce9f33d8c5f3d041a77ea16345b2c26eb5f1aa80b7b8366337b6f02a482640","abstract_canon_sha256":"e308cade443f57316302e80ab496497a36256b5c99f4558fefc98830996c1672"},"schema_version":"1.0"},"canonical_sha256":"ac1ce2f255fb5750140d647fea6a7807fdfcf0161d8d1ea1792667531e656273","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:17.271559Z","signature_b64":"Zm1r6vCXIxyO6GFAFKTpKPgqf+gcy5v/9bVZeNm9Jgl96h3MvseyPdN95eI80nbmXBIkkaRMR9dYYmR0c3w5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac1ce2f255fb5750140d647fea6a7807fdfcf0161d8d1ea1792667531e656273","last_reissued_at":"2026-05-18T00:57:17.270908Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:17.270908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06930","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":"2026-05-18T00:57:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vv9r6F/+UpvboM4j0W9i2tiwD4umI76uSob2nM9NN2Dl1Gi5Oa883HzMFA8xWOO0qvbPkkCd5Vzjh8o63I2MAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:17:02.537848Z"},"content_sha256":"63cb15aaed0d000f22eca80fcbae589591b2fe1f45a523187ec42d61054fb4a1","schema_version":"1.0","event_id":"sha256:63cb15aaed0d000f22eca80fcbae589591b2fe1f45a523187ec42d61054fb4a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VQOOF4SV7NLVAFANMR76U2TYA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extremal chiral $\\mathcal N=4$ SCFT with $c=24$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sarah M. Harrison","submitted_at":"2016-02-22T20:33:39Z","abstract_excerpt":"We construct an extremal chiral $\\mathcal N=4$ superconformal field theory with central charge 24 from a $\\mathbb Z_2$ orbifold of the chiral bosonic theory with target $\\mathbb R^{24}/\\Lambda$, where $\\Lambda$ is the Niemeier lattice with root system $A_2^{12}$. This construction is analogous to constructions of extremal chiral $\\mathcal N=1$ and $\\mathcal N=2$ CFTs with $c=24$, where $\\Lambda = \\Lambda_{Leech}$ and the Niemeier lattice with root system $A_1^{24}$, respectively. The theory has a discrete symmetry group related to the sporadic group $M_{11}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06930","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":"2026-05-18T00:57:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nWnF21oTIT2okvMj3rbEmnlSQImgL3M4TTYKgHQhq/fNMHn1iIuOD4HX/BW4IobGLokwyKgQNWZ1A5pTiJWbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:17:02.538502Z"},"content_sha256":"f2df3f70fa5530a3e5110934d074520cc5739f73b09f3585ed508c453ef26d78","schema_version":"1.0","event_id":"sha256:f2df3f70fa5530a3e5110934d074520cc5739f73b09f3585ed508c453ef26d78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VQOOF4SV7NLVAFANMR76U2TYA7/bundle.json","state_url":"https://pith.science/pith/VQOOF4SV7NLVAFANMR76U2TYA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VQOOF4SV7NLVAFANMR76U2TYA7/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":"2026-06-06T19:17:02Z","links":{"resolver":"https://pith.science/pith/VQOOF4SV7NLVAFANMR76U2TYA7","bundle":"https://pith.science/pith/VQOOF4SV7NLVAFANMR76U2TYA7/bundle.json","state":"https://pith.science/pith/VQOOF4SV7NLVAFANMR76U2TYA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VQOOF4SV7NLVAFANMR76U2TYA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VQOOF4SV7NLVAFANMR76U2TYA7","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":"e308cade443f57316302e80ab496497a36256b5c99f4558fefc98830996c1672","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-22T20:33:39Z","title_canon_sha256":"f1ce9f33d8c5f3d041a77ea16345b2c26eb5f1aa80b7b8366337b6f02a482640"},"schema_version":"1.0","source":{"id":"1602.06930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06930","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06930v1","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06930","created_at":"2026-05-18T00:57:17Z"},{"alias_kind":"pith_short_12","alias_value":"VQOOF4SV7NLV","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VQOOF4SV7NLVAFAN","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VQOOF4SV","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:f2df3f70fa5530a3e5110934d074520cc5739f73b09f3585ed508c453ef26d78","target":"graph","created_at":"2026-05-18T00:57:17Z","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":"We construct an extremal chiral $\\mathcal N=4$ superconformal field theory with central charge 24 from a $\\mathbb Z_2$ orbifold of the chiral bosonic theory with target $\\mathbb R^{24}/\\Lambda$, where $\\Lambda$ is the Niemeier lattice with root system $A_2^{12}$. This construction is analogous to constructions of extremal chiral $\\mathcal N=1$ and $\\mathcal N=2$ CFTs with $c=24$, where $\\Lambda = \\Lambda_{Leech}$ and the Niemeier lattice with root system $A_1^{24}$, respectively. The theory has a discrete symmetry group related to the sporadic group $M_{11}$.","authors_text":"Sarah M. Harrison","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-22T20:33:39Z","title":"Extremal chiral $\\mathcal N=4$ SCFT with $c=24$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06930","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":"sha256:63cb15aaed0d000f22eca80fcbae589591b2fe1f45a523187ec42d61054fb4a1","target":"record","created_at":"2026-05-18T00:57:17Z","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":"e308cade443f57316302e80ab496497a36256b5c99f4558fefc98830996c1672","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-22T20:33:39Z","title_canon_sha256":"f1ce9f33d8c5f3d041a77ea16345b2c26eb5f1aa80b7b8366337b6f02a482640"},"schema_version":"1.0","source":{"id":"1602.06930","kind":"arxiv","version":1}},"canonical_sha256":"ac1ce2f255fb5750140d647fea6a7807fdfcf0161d8d1ea1792667531e656273","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac1ce2f255fb5750140d647fea6a7807fdfcf0161d8d1ea1792667531e656273","first_computed_at":"2026-05-18T00:57:17.270908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:17.270908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zm1r6vCXIxyO6GFAFKTpKPgqf+gcy5v/9bVZeNm9Jgl96h3MvseyPdN95eI80nbmXBIkkaRMR9dYYmR0c3w5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:17.271559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63cb15aaed0d000f22eca80fcbae589591b2fe1f45a523187ec42d61054fb4a1","sha256:f2df3f70fa5530a3e5110934d074520cc5739f73b09f3585ed508c453ef26d78"],"state_sha256":"17c7973b61d2829d6f201103f13ff7662f8c52ad43cbffcef533481cc6686480"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y50jaD8v6m10gFtXGL5vidjc8uQC843K/fuE6K6CV7auvUrEnnNlvv6B6qqNEDH9RHP4qWwNeD+IRCzatnL5Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:17:02.541985Z","bundle_sha256":"ce268839d8b2ca0480f81ad1dab6763b48fb8ccdec5672ae26ca7751f21ba8d1"}}