{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CCB3RW6LNENSFO5CDUII3HS2RD","short_pith_number":"pith:CCB3RW6L","canonical_record":{"source":{"id":"1110.6658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-30T21:26:54Z","cross_cats_sorted":[],"title_canon_sha256":"93bfa6f2fe0ecac5032feb4732205059f73e8b9c622c6f5d2b9249760f8bd27c","abstract_canon_sha256":"d573a4445a88c548bdf1e007d6752538eae7d57c2d4f42714ade90d284ff92a1"},"schema_version":"1.0"},"canonical_sha256":"1083b8dbcb691b22bba21d108d9e5a88f0d7b330d87f36b65d3096d0e13939c3","source":{"kind":"arxiv","id":"1110.6658","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6658","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6658v1","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6658","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"pith_short_12","alias_value":"CCB3RW6LNENS","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CCB3RW6LNENSFO5C","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CCB3RW6L","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CCB3RW6LNENSFO5CDUII3HS2RD","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-30T21:26:54Z","cross_cats_sorted":[],"title_canon_sha256":"93bfa6f2fe0ecac5032feb4732205059f73e8b9c622c6f5d2b9249760f8bd27c","abstract_canon_sha256":"d573a4445a88c548bdf1e007d6752538eae7d57c2d4f42714ade90d284ff92a1"},"schema_version":"1.0"},"canonical_sha256":"1083b8dbcb691b22bba21d108d9e5a88f0d7b330d87f36b65d3096d0e13939c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:54.894733Z","signature_b64":"svfoB73WI4AsGoT7l+O8KmYdFJJRhsW4P5AjSBdmX2mu1oJIc9PFpQDneyTahlEq6IXbpSfRktYgWrAGGFzuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1083b8dbcb691b22bba21d108d9e5a88f0d7b330d87f36b65d3096d0e13939c3","last_reissued_at":"2026-05-18T04:09:54.893992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:54.893992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6658","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":"2026-05-18T04:09:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8n8RwKakAmnDG0BRZGK56BHP6sZcdCIOCT2ASa6BNU2P8pKGwlSyUIgEaO80/9veZXE7OgUorhHz3nN2SbUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:57:13.502987Z"},"content_sha256":"aba4b7ba4a1efd2026e029bce409ba68ce835ef556859db5f31b6819427fae48","schema_version":"1.0","event_id":"sha256:aba4b7ba4a1efd2026e029bce409ba68ce835ef556859db5f31b6819427fae48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CCB3RW6LNENSFO5CDUII3HS2RD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Brane Tilings, M2-branes and Orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"John Davey","submitted_at":"2011-10-30T21:26:54Z","abstract_excerpt":"Brane Tilings represent one of the largest classes of superconformal theories with known gravity duals in 3+1 and also 2+1 dimensions. They provide a useful link between a large class of quiver gauge theories and their moduli spaces, which are the toric Calabi-Yau (CY) singularities.\n  This thesis includes a discussion of an algorithm that can be used to generate all brane tilings with any given number of superpotential terms. All tilings with at most 8 superpotential terms have been generated using an implementation of this method.\n  Orbifolds are a subject of central importance in string the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6658","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":"2026-05-18T04:09:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NAWPuif+nFPNyxUwx7bMVo5J2VC751YLUc0Te5TTLTR5dDb8h7E54SOX925KiyQtQd45DXi7PzB5r8kPe6qfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:57:13.503360Z"},"content_sha256":"a3473e3244cb3fcd75fee67a0daf8f6593130dc4e707d00cbb3267f8dfa39cc3","schema_version":"1.0","event_id":"sha256:a3473e3244cb3fcd75fee67a0daf8f6593130dc4e707d00cbb3267f8dfa39cc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCB3RW6LNENSFO5CDUII3HS2RD/bundle.json","state_url":"https://pith.science/pith/CCB3RW6LNENSFO5CDUII3HS2RD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCB3RW6LNENSFO5CDUII3HS2RD/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":"2026-06-03T01:57:13Z","links":{"resolver":"https://pith.science/pith/CCB3RW6LNENSFO5CDUII3HS2RD","bundle":"https://pith.science/pith/CCB3RW6LNENSFO5CDUII3HS2RD/bundle.json","state":"https://pith.science/pith/CCB3RW6LNENSFO5CDUII3HS2RD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCB3RW6LNENSFO5CDUII3HS2RD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CCB3RW6LNENSFO5CDUII3HS2RD","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":"d573a4445a88c548bdf1e007d6752538eae7d57c2d4f42714ade90d284ff92a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-30T21:26:54Z","title_canon_sha256":"93bfa6f2fe0ecac5032feb4732205059f73e8b9c622c6f5d2b9249760f8bd27c"},"schema_version":"1.0","source":{"id":"1110.6658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6658","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6658v1","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6658","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"pith_short_12","alias_value":"CCB3RW6LNENS","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CCB3RW6LNENSFO5C","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CCB3RW6L","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:a3473e3244cb3fcd75fee67a0daf8f6593130dc4e707d00cbb3267f8dfa39cc3","target":"graph","created_at":"2026-05-18T04:09:54Z","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":"Brane Tilings represent one of the largest classes of superconformal theories with known gravity duals in 3+1 and also 2+1 dimensions. They provide a useful link between a large class of quiver gauge theories and their moduli spaces, which are the toric Calabi-Yau (CY) singularities.\n  This thesis includes a discussion of an algorithm that can be used to generate all brane tilings with any given number of superpotential terms. All tilings with at most 8 superpotential terms have been generated using an implementation of this method.\n  Orbifolds are a subject of central importance in string the","authors_text":"John Davey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-30T21:26:54Z","title":"Brane Tilings, M2-branes and Orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6658","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:aba4b7ba4a1efd2026e029bce409ba68ce835ef556859db5f31b6819427fae48","target":"record","created_at":"2026-05-18T04:09:54Z","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":"d573a4445a88c548bdf1e007d6752538eae7d57c2d4f42714ade90d284ff92a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-30T21:26:54Z","title_canon_sha256":"93bfa6f2fe0ecac5032feb4732205059f73e8b9c622c6f5d2b9249760f8bd27c"},"schema_version":"1.0","source":{"id":"1110.6658","kind":"arxiv","version":1}},"canonical_sha256":"1083b8dbcb691b22bba21d108d9e5a88f0d7b330d87f36b65d3096d0e13939c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1083b8dbcb691b22bba21d108d9e5a88f0d7b330d87f36b65d3096d0e13939c3","first_computed_at":"2026-05-18T04:09:54.893992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:54.893992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"svfoB73WI4AsGoT7l+O8KmYdFJJRhsW4P5AjSBdmX2mu1oJIc9PFpQDneyTahlEq6IXbpSfRktYgWrAGGFzuDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:54.894733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aba4b7ba4a1efd2026e029bce409ba68ce835ef556859db5f31b6819427fae48","sha256:a3473e3244cb3fcd75fee67a0daf8f6593130dc4e707d00cbb3267f8dfa39cc3"],"state_sha256":"cbf6fe589b29e7a81cee12b6f2d63cab7fe930572506ac5ad398db72be7d4df4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fh2eh3CnvMP7I5Vfox2jL/dGdXNlWjImTXgsuckA7vEUp+TA2gqi2adfQd7RqHGfLka/Bff27TpwO8H9UDn2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T01:57:13.505384Z","bundle_sha256":"1ecb38a15589485475ef5daf0fd02abbeaa8a9b039d5c50e57044e0ac36f0921"}}