{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:EDHKO7JLCKUVMZQSPQCSN2PI7X","short_pith_number":"pith:EDHKO7JL","canonical_record":{"source":{"id":"1001.2893","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-17T16:07:18Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"4c3d5a893154ae83b1c26e70a1c75c6634cfdd859577bd00afce50f4784ae949","abstract_canon_sha256":"62c6563621128057998c97aa6421e1bf8cba733dfd8ae07da0e6e3cf3db9f3f5"},"schema_version":"1.0"},"canonical_sha256":"20cea77d2b12a95666127c0526e9e8fdc9ad8b35a833e89b825ec8637ad9c2b0","source":{"kind":"arxiv","id":"1001.2893","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2893","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2893v2","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2893","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"EDHKO7JLCKUV","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EDHKO7JLCKUVMZQS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EDHKO7JL","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:EDHKO7JLCKUVMZQSPQCSN2PI7X","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2893","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-17T16:07:18Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"4c3d5a893154ae83b1c26e70a1c75c6634cfdd859577bd00afce50f4784ae949","abstract_canon_sha256":"62c6563621128057998c97aa6421e1bf8cba733dfd8ae07da0e6e3cf3db9f3f5"},"schema_version":"1.0"},"canonical_sha256":"20cea77d2b12a95666127c0526e9e8fdc9ad8b35a833e89b825ec8637ad9c2b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:38.243326Z","signature_b64":"8d0MQWo6udS+9yt3jjjZb1pxarHfB0UIfFqrFyk1GpvY36FItzrsV7ylLi/5ps9m/k44XHT0ubNDR8j4HtAwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20cea77d2b12a95666127c0526e9e8fdc9ad8b35a833e89b825ec8637ad9c2b0","last_reissued_at":"2026-05-18T01:17:38.242650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:38.242650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2893","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hnYPuFQbRcG55+Oj0lhkbWIgPtL0x2UEciiDO+F4jHxT0UEB6xAicU5cN6c5zM7NY4jOOX9KFBOXoG1FJ5OlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:07:14.739326Z"},"content_sha256":"7b9e8f4cd205379d35ffad8da46bad4ae3332e55f2f68bb460ecb1eb529911dd","schema_version":"1.0","event_id":"sha256:7b9e8f4cd205379d35ffad8da46bad4ae3332e55f2f68bb460ecb1eb529911dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:EDHKO7JLCKUVMZQSPQCSN2PI7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the geometry of C^3/D_27 and del Pezzo surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Marco Compagnoni, Sergio Luigi Cacciatori","submitted_at":"2010-01-17T16:07:18Z","abstract_excerpt":"We clarify some aspects of the geometry of a resolution of the orbifold X = C3/D_27, the noncompact complex manifold underlying the brane quiver standard model recently proposed by Verlinde and Wijnholt. We explicitly realize a map between X and the total space of the canonical bundle over a degree 1 quasi del Pezzo surface, thus defining a desingularization of X. Our analysis relys essentially on the relationship existing between the normalizer group of D_27 and the Hessian group and on the study of the behaviour of the Hesse pencil of plane cubic curves under the quotient."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2893","kind":"arxiv","version":2},"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":"2026-05-18T01:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ry3VHtpCNW+S1dg2j1cGuUIc6X05e1iA/tHvNJIhlQXNpIy3rmQui7hzJ/uydgI6jMKRyh6v1OV8FRS37f22AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:07:14.739747Z"},"content_sha256":"17d97bf31a6380f6a0b6e0be6c9899e6ef3e67c6a783edaf38b087f36c56168e","schema_version":"1.0","event_id":"sha256:17d97bf31a6380f6a0b6e0be6c9899e6ef3e67c6a783edaf38b087f36c56168e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/bundle.json","state_url":"https://pith.science/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/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":"2026-05-22T15:07:14Z","links":{"resolver":"https://pith.science/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X","bundle":"https://pith.science/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/bundle.json","state":"https://pith.science/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EDHKO7JLCKUVMZQSPQCSN2PI7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EDHKO7JLCKUVMZQSPQCSN2PI7X","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":"62c6563621128057998c97aa6421e1bf8cba733dfd8ae07da0e6e3cf3db9f3f5","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-17T16:07:18Z","title_canon_sha256":"4c3d5a893154ae83b1c26e70a1c75c6634cfdd859577bd00afce50f4784ae949"},"schema_version":"1.0","source":{"id":"1001.2893","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2893","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2893v2","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2893","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"EDHKO7JLCKUV","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EDHKO7JLCKUVMZQS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EDHKO7JL","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:17d97bf31a6380f6a0b6e0be6c9899e6ef3e67c6a783edaf38b087f36c56168e","target":"graph","created_at":"2026-05-18T01:17:38Z","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 clarify some aspects of the geometry of a resolution of the orbifold X = C3/D_27, the noncompact complex manifold underlying the brane quiver standard model recently proposed by Verlinde and Wijnholt. We explicitly realize a map between X and the total space of the canonical bundle over a degree 1 quasi del Pezzo surface, thus defining a desingularization of X. Our analysis relys essentially on the relationship existing between the normalizer group of D_27 and the Hessian group and on the study of the behaviour of the Hesse pencil of plane cubic curves under the quotient.","authors_text":"Marco Compagnoni, Sergio Luigi Cacciatori","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-17T16:07:18Z","title":"On the geometry of C^3/D_27 and del Pezzo surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2893","kind":"arxiv","version":2},"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":"sha256:7b9e8f4cd205379d35ffad8da46bad4ae3332e55f2f68bb460ecb1eb529911dd","target":"record","created_at":"2026-05-18T01:17:38Z","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":"62c6563621128057998c97aa6421e1bf8cba733dfd8ae07da0e6e3cf3db9f3f5","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-17T16:07:18Z","title_canon_sha256":"4c3d5a893154ae83b1c26e70a1c75c6634cfdd859577bd00afce50f4784ae949"},"schema_version":"1.0","source":{"id":"1001.2893","kind":"arxiv","version":2}},"canonical_sha256":"20cea77d2b12a95666127c0526e9e8fdc9ad8b35a833e89b825ec8637ad9c2b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20cea77d2b12a95666127c0526e9e8fdc9ad8b35a833e89b825ec8637ad9c2b0","first_computed_at":"2026-05-18T01:17:38.242650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:38.242650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8d0MQWo6udS+9yt3jjjZb1pxarHfB0UIfFqrFyk1GpvY36FItzrsV7ylLi/5ps9m/k44XHT0ubNDR8j4HtAwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:38.243326Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2893","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b9e8f4cd205379d35ffad8da46bad4ae3332e55f2f68bb460ecb1eb529911dd","sha256:17d97bf31a6380f6a0b6e0be6c9899e6ef3e67c6a783edaf38b087f36c56168e"],"state_sha256":"8bbda9d1576a03f3bab3735789e2f866659fd4366c145371cfa84bc8debc7dcd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UKF5eF6aGnEs5wfQft8ARo5Ir+J5tVHliV6OhZIPIbBZcCSP0VJ7wRg0fUEAp/jBX2gOdkZctYDvlf+btqmBBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T15:07:14.743157Z","bundle_sha256":"4faa51c6bf311c5ae8c9805f8a57e727c9a547f818747baef8798ee746241561"}}