{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PYPQNNA3X3LC3FN4XFJIM3X64W","short_pith_number":"pith:PYPQNNA3","canonical_record":{"source":{"id":"2501.00093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T19:00:00Z","cross_cats_sorted":["cs.LG","gr-qc"],"title_canon_sha256":"18f05a1d7efc719fc43ec6f5494bae6835438121868e2efe172cca06a545125e","abstract_canon_sha256":"a119cb131d36f90795a44670ce0822da86fa200fc43fe66d9d7b5ca9d3b7ddec"},"schema_version":"1.0"},"canonical_sha256":"7e1f06b41bbed62d95bcb952866efee5bcb18edd3ee7ac229767a74e16deb806","source":{"kind":"arxiv","id":"2501.00093","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00093","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00093v1","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00093","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"PYPQNNA3X3LC","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_16","alias_value":"PYPQNNA3X3LC3FN4","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_8","alias_value":"PYPQNNA3","created_at":"2026-07-05T09:55:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PYPQNNA3X3LC3FN4XFJIM3X64W","target":"record","payload":{"canonical_record":{"source":{"id":"2501.00093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T19:00:00Z","cross_cats_sorted":["cs.LG","gr-qc"],"title_canon_sha256":"18f05a1d7efc719fc43ec6f5494bae6835438121868e2efe172cca06a545125e","abstract_canon_sha256":"a119cb131d36f90795a44670ce0822da86fa200fc43fe66d9d7b5ca9d3b7ddec"},"schema_version":"1.0"},"canonical_sha256":"7e1f06b41bbed62d95bcb952866efee5bcb18edd3ee7ac229767a74e16deb806","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:55:38.944407Z","signature_b64":"oc1YxcHgzpnAibVwRKCySnQxxzVWjJejjL2NM0N7uYsqVaBpssxRlzrXO/G5eOuMYBusKWNcEQKh+PJ026rmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e1f06b41bbed62d95bcb952866efee5bcb18edd3ee7ac229767a74e16deb806","last_reissued_at":"2026-07-05T09:55:38.943974Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:55:38.943974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.00093","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":"2026-07-05T09:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHKc8eLpO8Z4JXzYh19xrmcYA20R0mq0zlIxaiF/2kTVtk1V8mpML1jUvvjZrhMyiZgoqbw/VSTKVqdtuwv3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T15:02:24.013298Z"},"content_sha256":"13673cd1343ce8672e3555a4021d429970e66355efab761b79d52639fa20642d","schema_version":"1.0","event_id":"sha256:13673cd1343ce8672e3555a4021d429970e66355efab761b79d52639fa20642d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PYPQNNA3X3LC3FN4XFJIM3X64W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine Learning Gravity Compactifications on Negatively Curved Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","gr-qc"],"primary_cat":"hep-th","authors_text":"G. Bruno De Luca","submitted_at":"2024-12-30T19:00:00Z","abstract_excerpt":"Constructing the landscape of vacua of higher-dimensional theories of gravity by directly solving the low-energy (semi-)classical equations of motion is notoriously difficult. In this work, we investigate the feasibility of Machine Learning techniques as tools for solving the equations of motion for general warped gravity compactifications. As a proof-of-concept we use Neural Networks to solve the Einstein PDEs on non-trivial three manifolds obtained by filling one or more cusps of hyperbolic manifolds. While in three dimensions an Einstein metric is also locally hyperbolic, the generality and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00093","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/2501.00093/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":"2026-07-05T09:55:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43pzYYNdzKYu0VL/plFuXT75sudQbFru027gYixgCALbQlPuj+ehdQD2wBEvPJRXwBAOYfFd2Y9/nc5lyk10AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T15:02:24.013683Z"},"content_sha256":"e99b91c40ecfd52c0340d69a7b5ce280ab1a7b3d9bb26936e614a9fef74b2999","schema_version":"1.0","event_id":"sha256:e99b91c40ecfd52c0340d69a7b5ce280ab1a7b3d9bb26936e614a9fef74b2999"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/bundle.json","state_url":"https://pith.science/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/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":"2026-07-18T15:02:24Z","links":{"resolver":"https://pith.science/pith/PYPQNNA3X3LC3FN4XFJIM3X64W","bundle":"https://pith.science/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/bundle.json","state":"https://pith.science/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PYPQNNA3X3LC3FN4XFJIM3X64W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PYPQNNA3X3LC3FN4XFJIM3X64W","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":"a119cb131d36f90795a44670ce0822da86fa200fc43fe66d9d7b5ca9d3b7ddec","cross_cats_sorted":["cs.LG","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T19:00:00Z","title_canon_sha256":"18f05a1d7efc719fc43ec6f5494bae6835438121868e2efe172cca06a545125e"},"schema_version":"1.0","source":{"id":"2501.00093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00093","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00093v1","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00093","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"PYPQNNA3X3LC","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_16","alias_value":"PYPQNNA3X3LC3FN4","created_at":"2026-07-05T09:55:38Z"},{"alias_kind":"pith_short_8","alias_value":"PYPQNNA3","created_at":"2026-07-05T09:55:38Z"}],"graph_snapshots":[{"event_id":"sha256:e99b91c40ecfd52c0340d69a7b5ce280ab1a7b3d9bb26936e614a9fef74b2999","target":"graph","created_at":"2026-07-05T09:55:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.00093/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Constructing the landscape of vacua of higher-dimensional theories of gravity by directly solving the low-energy (semi-)classical equations of motion is notoriously difficult. In this work, we investigate the feasibility of Machine Learning techniques as tools for solving the equations of motion for general warped gravity compactifications. As a proof-of-concept we use Neural Networks to solve the Einstein PDEs on non-trivial three manifolds obtained by filling one or more cusps of hyperbolic manifolds. While in three dimensions an Einstein metric is also locally hyperbolic, the generality and","authors_text":"G. Bruno De Luca","cross_cats":["cs.LG","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T19:00:00Z","title":"Machine Learning Gravity Compactifications on Negatively Curved Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00093","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":"sha256:13673cd1343ce8672e3555a4021d429970e66355efab761b79d52639fa20642d","target":"record","created_at":"2026-07-05T09:55:38Z","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":"a119cb131d36f90795a44670ce0822da86fa200fc43fe66d9d7b5ca9d3b7ddec","cross_cats_sorted":["cs.LG","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T19:00:00Z","title_canon_sha256":"18f05a1d7efc719fc43ec6f5494bae6835438121868e2efe172cca06a545125e"},"schema_version":"1.0","source":{"id":"2501.00093","kind":"arxiv","version":1}},"canonical_sha256":"7e1f06b41bbed62d95bcb952866efee5bcb18edd3ee7ac229767a74e16deb806","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e1f06b41bbed62d95bcb952866efee5bcb18edd3ee7ac229767a74e16deb806","first_computed_at":"2026-07-05T09:55:38.943974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:38.943974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oc1YxcHgzpnAibVwRKCySnQxxzVWjJejjL2NM0N7uYsqVaBpssxRlzrXO/G5eOuMYBusKWNcEQKh+PJ026rmCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:38.944407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13673cd1343ce8672e3555a4021d429970e66355efab761b79d52639fa20642d","sha256:e99b91c40ecfd52c0340d69a7b5ce280ab1a7b3d9bb26936e614a9fef74b2999"],"state_sha256":"8422b39a040d8da66df47b700c3b6c64ebcb16a9a6cd32d4a4d48f475474e3eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7+bm7tPK35nDQrfDQcjARCymMNV1O/x3m1Ks7YJ9YVuIzxaL1sxKAdXmS2CsppyW/Cq2IqixdC4Cn3nV8gnhBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T15:02:24.016248Z","bundle_sha256":"05580c833f212cfbc52c76f31c283597f2ddda8ec85a33c6be9ef4615cdecd96"}}