{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:CDNKOLZLBC6GDNMF5LEQC4LJ3U","short_pith_number":"pith:CDNKOLZL","canonical_record":{"source":{"id":"2205.13408","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T15:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"5ec6d82de295765a3ec7f315dcafb8e9e35db5e37cdc491d5f1550cc64ca02d8","abstract_canon_sha256":"a7a44a25494eec1f7473f01cb5c1509f6158bc1ba5a73b6f9992e56692419229"},"schema_version":"1.0"},"canonical_sha256":"10daa72f2b08bc61b585eac9017169dd354d34caf128a78766b5e42cb3119b99","source":{"kind":"arxiv","id":"2205.13408","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.13408","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"2205.13408v1","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.13408","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"CDNKOLZLBC6G","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_16","alias_value":"CDNKOLZLBC6GDNMF","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_8","alias_value":"CDNKOLZL","created_at":"2026-07-05T04:26:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:CDNKOLZLBC6GDNMF5LEQC4LJ3U","target":"record","payload":{"canonical_record":{"source":{"id":"2205.13408","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T15:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"5ec6d82de295765a3ec7f315dcafb8e9e35db5e37cdc491d5f1550cc64ca02d8","abstract_canon_sha256":"a7a44a25494eec1f7473f01cb5c1509f6158bc1ba5a73b6f9992e56692419229"},"schema_version":"1.0"},"canonical_sha256":"10daa72f2b08bc61b585eac9017169dd354d34caf128a78766b5e42cb3119b99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:26:43.055738Z","signature_b64":"leV7MzUgRCwULfnel0id2CluIjshOYK5ZCPQmyMaUbA85FpDtI3oHZIAd545vAp29lS7NOpc9xfMPbqb/7N1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10daa72f2b08bc61b585eac9017169dd354d34caf128a78766b5e42cb3119b99","last_reissued_at":"2026-07-05T04:26:43.055210Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:26:43.055210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.13408","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":"2026-07-05T04:26:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phv48b83qp3MqTwcMFOIXQAHlNe60SgNr6VXcDlnSgswfs3fTDEWDANBBR6LCGUIaM+01I7pnnwAKoWQH8H1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:15:32.670458Z"},"content_sha256":"6314f9ea8a99b47ad24c002f0c2461b5931a1928f3836ec4c64c41bb8f7c388a","schema_version":"1.0","event_id":"sha256:6314f9ea8a99b47ad24c002f0c2461b5931a1928f3836ec4c64c41bb8f7c388a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:CDNKOLZLBC6GDNMF5LEQC4LJ3U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andre Lukas, Fabian Ruehle, Magdalena Larfors, Robin Schneider","submitted_at":"2022-05-26T15:02:25Z","abstract_excerpt":"We introduce neural networks to compute numerical Ricci-flat CY metrics for complete intersection and Kreuzer-Skarke Calabi-Yau manifolds at any point in K\\\"ahler and complex structure moduli space, and introduce the package cymetric which provides computation realizations of these techniques. In particular, we develop and computationally realize methods for point-sampling on these manifolds. The training for the neural networks is carried out subject to a custom loss function. The K\\\"ahler class is fixed by adding to the loss a component which enforces the slopes of certain line bundles to ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.13408","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/2205.13408/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":"2026-07-05T04:26:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BPG+BB06PFlyplms5qXmUSRRiutTpXbmj7Iz7Vi+TFxGMHhDqr6i6DCDTCHfLE8dgWb3clMye7ELT8R5tR+dAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:15:32.670947Z"},"content_sha256":"2bdf1780753e880f46e02ce0fd4e8336f64b55086dcad1edb3711c8c6862aede","schema_version":"1.0","event_id":"sha256:2bdf1780753e880f46e02ce0fd4e8336f64b55086dcad1edb3711c8c6862aede"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/bundle.json","state_url":"https://pith.science/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/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":"2026-08-07T19:15:32Z","links":{"resolver":"https://pith.science/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U","bundle":"https://pith.science/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/bundle.json","state":"https://pith.science/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CDNKOLZLBC6GDNMF5LEQC4LJ3U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CDNKOLZLBC6GDNMF5LEQC4LJ3U","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":"a7a44a25494eec1f7473f01cb5c1509f6158bc1ba5a73b6f9992e56692419229","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T15:02:25Z","title_canon_sha256":"5ec6d82de295765a3ec7f315dcafb8e9e35db5e37cdc491d5f1550cc64ca02d8"},"schema_version":"1.0","source":{"id":"2205.13408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.13408","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"2205.13408v1","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.13408","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"CDNKOLZLBC6G","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_16","alias_value":"CDNKOLZLBC6GDNMF","created_at":"2026-07-05T04:26:43Z"},{"alias_kind":"pith_short_8","alias_value":"CDNKOLZL","created_at":"2026-07-05T04:26:43Z"}],"graph_snapshots":[{"event_id":"sha256:2bdf1780753e880f46e02ce0fd4e8336f64b55086dcad1edb3711c8c6862aede","target":"graph","created_at":"2026-07-05T04:26:43Z","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/2205.13408/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce neural networks to compute numerical Ricci-flat CY metrics for complete intersection and Kreuzer-Skarke Calabi-Yau manifolds at any point in K\\\"ahler and complex structure moduli space, and introduce the package cymetric which provides computation realizations of these techniques. In particular, we develop and computationally realize methods for point-sampling on these manifolds. The training for the neural networks is carried out subject to a custom loss function. The K\\\"ahler class is fixed by adding to the loss a component which enforces the slopes of certain line bundles to ma","authors_text":"Andre Lukas, Fabian Ruehle, Magdalena Larfors, Robin Schneider","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T15:02:25Z","title":"Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.13408","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":"sha256:6314f9ea8a99b47ad24c002f0c2461b5931a1928f3836ec4c64c41bb8f7c388a","target":"record","created_at":"2026-07-05T04:26:43Z","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":"a7a44a25494eec1f7473f01cb5c1509f6158bc1ba5a73b6f9992e56692419229","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-26T15:02:25Z","title_canon_sha256":"5ec6d82de295765a3ec7f315dcafb8e9e35db5e37cdc491d5f1550cc64ca02d8"},"schema_version":"1.0","source":{"id":"2205.13408","kind":"arxiv","version":1}},"canonical_sha256":"10daa72f2b08bc61b585eac9017169dd354d34caf128a78766b5e42cb3119b99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10daa72f2b08bc61b585eac9017169dd354d34caf128a78766b5e42cb3119b99","first_computed_at":"2026-07-05T04:26:43.055210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:26:43.055210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"leV7MzUgRCwULfnel0id2CluIjshOYK5ZCPQmyMaUbA85FpDtI3oHZIAd545vAp29lS7NOpc9xfMPbqb/7N1BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:26:43.055738Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.13408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6314f9ea8a99b47ad24c002f0c2461b5931a1928f3836ec4c64c41bb8f7c388a","sha256:2bdf1780753e880f46e02ce0fd4e8336f64b55086dcad1edb3711c8c6862aede"],"state_sha256":"fcc5392f1c27c439ec4add17ed536001b76e2cbc33bc5ebd1316eaf82dfe293a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qjbbUbeXdtsh2S3+CJpfQ6Hoz2fiW0vpqqeTL0XsnjOR/Dp4CJ9VT7gMdDYrqDHOdIZquZmik01IvRjD0Iy+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:15:32.675962Z","bundle_sha256":"1f5af717489a78d0733773da7cb1c4203d974f569c20a8dbf9e6dc002b79fa2f"}}