{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GTT4Z333AOJYJJWU5JSVMFDRLE","short_pith_number":"pith:GTT4Z333","canonical_record":{"source":{"id":"1106.5222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-26T13:42:16Z","cross_cats_sorted":[],"title_canon_sha256":"739a897ac6dc27bbe1d4e37d4498f780b4d63a99e9ca5515aae1633b359c2a5f","abstract_canon_sha256":"6f34f172d1644fd692d0ae061e4abfc48f4bbe78a74d0233f78bf996ef6d340a"},"schema_version":"1.0"},"canonical_sha256":"34e7ccef7b039384a6d4ea65561471593ffd05eb477e2a7b37e32ed873a0cde4","source":{"kind":"arxiv","id":"1106.5222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5222","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5222v1","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5222","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"GTT4Z333AOJY","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GTT4Z333AOJYJJWU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GTT4Z333","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GTT4Z333AOJYJJWU5JSVMFDRLE","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-26T13:42:16Z","cross_cats_sorted":[],"title_canon_sha256":"739a897ac6dc27bbe1d4e37d4498f780b4d63a99e9ca5515aae1633b359c2a5f","abstract_canon_sha256":"6f34f172d1644fd692d0ae061e4abfc48f4bbe78a74d0233f78bf996ef6d340a"},"schema_version":"1.0"},"canonical_sha256":"34e7ccef7b039384a6d4ea65561471593ffd05eb477e2a7b37e32ed873a0cde4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:11.492786Z","signature_b64":"qY20bhK5OtFQb5VSKlZbRpFOrhV2d7VRBkgrnV4HiP0dXMd68yX0SLU1A6rZsp9pIlZntreyjvkewm4NNB+oAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34e7ccef7b039384a6d4ea65561471593ffd05eb477e2a7b37e32ed873a0cde4","last_reissued_at":"2026-05-18T04:16:11.492346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:11.492346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5222","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":"2026-05-18T04:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGagv7YEXKL3cRyUvMM6Hz5Ou+9iSu3TcjeSm2SexFpKApYHLjoYLcsuf9dSdRhl9ZlZcWcLkwSG8dmXB4UvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T07:32:57.167715Z"},"content_sha256":"a9a07db4521cf8b50ca1cd9ee1e5f184dd58599d4ee4471b4c2d0b3da4ef7b80","schema_version":"1.0","event_id":"sha256:a9a07db4521cf8b50ca1cd9ee1e5f184dd58599d4ee4471b4c2d0b3da4ef7b80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GTT4Z333AOJYJJWU5JSVMFDRLE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four Dimensional Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E.H Saidi, L.B Drissi, M. Bousmina","submitted_at":"2011-06-26T13:42:16Z","abstract_excerpt":"Mimicking pristine 2D graphene, we revisit the BBTW model for 4D lattice QCD given in ref.[5] by using the hidden SU(5) symmetry of the 4D hyperdiamond lattice H_4. We first study the link between the H_4 and SU(5); then we refine the BBTW 4D lattice action by using the weight vectors \\lambda_1, \\lambda_2, \\lambda_3, \\lambda_4, \\lambda_5 of the 5-dimensional representation of SU(5) satisfying {\\Sigma}_i\\lambda_i=0. After that we study explicitly the solutions of the zeros of the Dirac operator D in terms of the SU(5) simple roots \\alpha_1, \\alpha_2, \\alpha_3, \\alpha_4 generating H_4; and its f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5222","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":"2026-05-18T04:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MunvLpsY5XTCXMB/XEGDtbeFPLYoWHJs6bQwUyt0jjiqKXZ7wDVhw27W6hvKyt4s9HE8CGTKicWmrFgMBhO0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T07:32:57.168353Z"},"content_sha256":"e3b72c525991b51532b72b952bb79cbc8d8294ed8b9d8d863f044e51b81cfde9","schema_version":"1.0","event_id":"sha256:e3b72c525991b51532b72b952bb79cbc8d8294ed8b9d8d863f044e51b81cfde9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/bundle.json","state_url":"https://pith.science/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/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":"2026-05-24T07:32:57Z","links":{"resolver":"https://pith.science/pith/GTT4Z333AOJYJJWU5JSVMFDRLE","bundle":"https://pith.science/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/bundle.json","state":"https://pith.science/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GTT4Z333AOJYJJWU5JSVMFDRLE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GTT4Z333AOJYJJWU5JSVMFDRLE","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":"6f34f172d1644fd692d0ae061e4abfc48f4bbe78a74d0233f78bf996ef6d340a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-26T13:42:16Z","title_canon_sha256":"739a897ac6dc27bbe1d4e37d4498f780b4d63a99e9ca5515aae1633b359c2a5f"},"schema_version":"1.0","source":{"id":"1106.5222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5222","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5222v1","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5222","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"GTT4Z333AOJY","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GTT4Z333AOJYJJWU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GTT4Z333","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:e3b72c525991b51532b72b952bb79cbc8d8294ed8b9d8d863f044e51b81cfde9","target":"graph","created_at":"2026-05-18T04:16:11Z","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":"Mimicking pristine 2D graphene, we revisit the BBTW model for 4D lattice QCD given in ref.[5] by using the hidden SU(5) symmetry of the 4D hyperdiamond lattice H_4. We first study the link between the H_4 and SU(5); then we refine the BBTW 4D lattice action by using the weight vectors \\lambda_1, \\lambda_2, \\lambda_3, \\lambda_4, \\lambda_5 of the 5-dimensional representation of SU(5) satisfying {\\Sigma}_i\\lambda_i=0. After that we study explicitly the solutions of the zeros of the Dirac operator D in terms of the SU(5) simple roots \\alpha_1, \\alpha_2, \\alpha_3, \\alpha_4 generating H_4; and its f","authors_text":"E.H Saidi, L.B Drissi, M. Bousmina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-26T13:42:16Z","title":"Four Dimensional Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5222","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:a9a07db4521cf8b50ca1cd9ee1e5f184dd58599d4ee4471b4c2d0b3da4ef7b80","target":"record","created_at":"2026-05-18T04:16:11Z","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":"6f34f172d1644fd692d0ae061e4abfc48f4bbe78a74d0233f78bf996ef6d340a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-26T13:42:16Z","title_canon_sha256":"739a897ac6dc27bbe1d4e37d4498f780b4d63a99e9ca5515aae1633b359c2a5f"},"schema_version":"1.0","source":{"id":"1106.5222","kind":"arxiv","version":1}},"canonical_sha256":"34e7ccef7b039384a6d4ea65561471593ffd05eb477e2a7b37e32ed873a0cde4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34e7ccef7b039384a6d4ea65561471593ffd05eb477e2a7b37e32ed873a0cde4","first_computed_at":"2026-05-18T04:16:11.492346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:11.492346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qY20bhK5OtFQb5VSKlZbRpFOrhV2d7VRBkgrnV4HiP0dXMd68yX0SLU1A6rZsp9pIlZntreyjvkewm4NNB+oAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:11.492786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9a07db4521cf8b50ca1cd9ee1e5f184dd58599d4ee4471b4c2d0b3da4ef7b80","sha256:e3b72c525991b51532b72b952bb79cbc8d8294ed8b9d8d863f044e51b81cfde9"],"state_sha256":"2288f6319398397858be16f260154c79670960819a26e416cd6e058d3e97149f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h699VDLZLhUL7SQfw4V+IKImtF+UDitX5mJuGOiGzdGpNEnDDmYw4aFJ/62Mt2n2mloJhxnogE18YcXARLARBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T07:32:57.171657Z","bundle_sha256":"3d1d35999ff9ad64ab67b3a027b214ace6dc72bda3f502b0fd364cdc02703ae4"}}