{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XKY7C52JR6RUVHFIZZSJLFSFU2","short_pith_number":"pith:XKY7C52J","canonical_record":{"source":{"id":"2607.07418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T13:47:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d860d35a43a3307be236a2ae439226eea25514cf23a07169607b00e87b3a1db","abstract_canon_sha256":"4bc45dc1b9d2710fcc6739af82828bcf933a8c50530ae612d7acb2e8d06ca881"},"schema_version":"1.0"},"canonical_sha256":"bab1f177498fa34a9ca8ce64959645a6adb4aa2b8e3a5b58af40e1c9e3b4cf7a","source":{"kind":"arxiv","id":"2607.07418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07418","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07418v1","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07418","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_12","alias_value":"XKY7C52JR6RU","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_16","alias_value":"XKY7C52JR6RUVHFI","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_8","alias_value":"XKY7C52J","created_at":"2026-07-09T01:20:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XKY7C52JR6RUVHFIZZSJLFSFU2","target":"record","payload":{"canonical_record":{"source":{"id":"2607.07418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T13:47:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3d860d35a43a3307be236a2ae439226eea25514cf23a07169607b00e87b3a1db","abstract_canon_sha256":"4bc45dc1b9d2710fcc6739af82828bcf933a8c50530ae612d7acb2e8d06ca881"},"schema_version":"1.0"},"canonical_sha256":"bab1f177498fa34a9ca8ce64959645a6adb4aa2b8e3a5b58af40e1c9e3b4cf7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-09T01:20:24.446517Z","signature_b64":"jtl2g2M9ExxUGndaIZ9tZZEWzr00dOw3dUoJP9ZaW9WdS42jf5Q/RK8bKtjU/OOzmHdPD4iFO3N9UoTiKZ6yAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bab1f177498fa34a9ca8ce64959645a6adb4aa2b8e3a5b58af40e1c9e3b4cf7a","last_reissued_at":"2026-07-09T01:20:24.446066Z","signature_status":"signed_v1","first_computed_at":"2026-07-09T01:20:24.446066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.07418","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":"2026-07-09T01:20:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xAboTqMcarUKi/dhdfqjqx+WxrS1DMMjTcT8aHoFI3qxMH0dFen+0mzKUT9DGjBmU+D0R8abcyCikIMmDw5xBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:57:03.428097Z"},"content_sha256":"c48ac05446924ff040ec4c5e51e50a99a7c57da8060ece622d8a61fddc7decbb","schema_version":"1.0","event_id":"sha256:c48ac05446924ff040ec4c5e51e50a99a7c57da8060ece622d8a61fddc7decbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XKY7C52JR6RUVHFIZZSJLFSFU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neural-Spectral Discovery of Rotating Black Holes Beyond General Relativity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Anxo Biasi, Cecilia Garraffo, Devansh Agarwal, Ethan Tregidga, Felipe Agurto-Sep\\'ulveda, Gaston Giribet, James F. Steiner, Jose D. Edelstein, Marcelo Oyarzo","submitted_at":"2026-07-08T13:47:21Z","abstract_excerpt":"Finding rotating black hole solutions in higher-curvature theories of gravity is a problem of fundamental importance. Virtually every approach to reconcile gravity with quantum mechanics predicts corrections to the Einstein-Hilbert action, yet no systematic solution-generating method exists for the stationary sector. We close this gap with {\\sc Akribeia}, a novel hybrid framework that pairs physics-informed neural networks with a pseudo-spectral refinement step, yielding certified neural-field rotating black hole solutions -- continuous, globally defined functions, parametric in the coupling c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07418","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/2607.07418/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":"2026-07-09T01:20:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eC1P9FXI53UC7/VzEXlkRQOXULh4lwzv7FwmLM6CsQ7QtXaEUdbOuKGdr7a4sXwS1yRYXev9j1j8zwyGCiZNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:57:03.428473Z"},"content_sha256":"3f05e3b753db4fceb7c5dd487c6d955420a57e144654ee8b08eb3c47700b0bf1","schema_version":"1.0","event_id":"sha256:3f05e3b753db4fceb7c5dd487c6d955420a57e144654ee8b08eb3c47700b0bf1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/bundle.json","state_url":"https://pith.science/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/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":"2026-08-19T08:57:03Z","links":{"resolver":"https://pith.science/pith/XKY7C52JR6RUVHFIZZSJLFSFU2","bundle":"https://pith.science/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/bundle.json","state":"https://pith.science/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKY7C52JR6RUVHFIZZSJLFSFU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XKY7C52JR6RUVHFIZZSJLFSFU2","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":"4bc45dc1b9d2710fcc6739af82828bcf933a8c50530ae612d7acb2e8d06ca881","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T13:47:21Z","title_canon_sha256":"3d860d35a43a3307be236a2ae439226eea25514cf23a07169607b00e87b3a1db"},"schema_version":"1.0","source":{"id":"2607.07418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07418","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07418v1","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07418","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_12","alias_value":"XKY7C52JR6RU","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_16","alias_value":"XKY7C52JR6RUVHFI","created_at":"2026-07-09T01:20:24Z"},{"alias_kind":"pith_short_8","alias_value":"XKY7C52J","created_at":"2026-07-09T01:20:24Z"}],"graph_snapshots":[{"event_id":"sha256:3f05e3b753db4fceb7c5dd487c6d955420a57e144654ee8b08eb3c47700b0bf1","target":"graph","created_at":"2026-07-09T01:20:24Z","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/2607.07418/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Finding rotating black hole solutions in higher-curvature theories of gravity is a problem of fundamental importance. Virtually every approach to reconcile gravity with quantum mechanics predicts corrections to the Einstein-Hilbert action, yet no systematic solution-generating method exists for the stationary sector. We close this gap with {\\sc Akribeia}, a novel hybrid framework that pairs physics-informed neural networks with a pseudo-spectral refinement step, yielding certified neural-field rotating black hole solutions -- continuous, globally defined functions, parametric in the coupling c","authors_text":"Anxo Biasi, Cecilia Garraffo, Devansh Agarwal, Ethan Tregidga, Felipe Agurto-Sep\\'ulveda, Gaston Giribet, James F. Steiner, Jose D. Edelstein, Marcelo Oyarzo","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T13:47:21Z","title":"Neural-Spectral Discovery of Rotating Black Holes Beyond General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07418","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:c48ac05446924ff040ec4c5e51e50a99a7c57da8060ece622d8a61fddc7decbb","target":"record","created_at":"2026-07-09T01:20:24Z","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":"4bc45dc1b9d2710fcc6739af82828bcf933a8c50530ae612d7acb2e8d06ca881","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T13:47:21Z","title_canon_sha256":"3d860d35a43a3307be236a2ae439226eea25514cf23a07169607b00e87b3a1db"},"schema_version":"1.0","source":{"id":"2607.07418","kind":"arxiv","version":1}},"canonical_sha256":"bab1f177498fa34a9ca8ce64959645a6adb4aa2b8e3a5b58af40e1c9e3b4cf7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bab1f177498fa34a9ca8ce64959645a6adb4aa2b8e3a5b58af40e1c9e3b4cf7a","first_computed_at":"2026-07-09T01:20:24.446066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-09T01:20:24.446066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jtl2g2M9ExxUGndaIZ9tZZEWzr00dOw3dUoJP9ZaW9WdS42jf5Q/RK8bKtjU/OOzmHdPD4iFO3N9UoTiKZ6yAA==","signature_status":"signed_v1","signed_at":"2026-07-09T01:20:24.446517Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c48ac05446924ff040ec4c5e51e50a99a7c57da8060ece622d8a61fddc7decbb","sha256:3f05e3b753db4fceb7c5dd487c6d955420a57e144654ee8b08eb3c47700b0bf1"],"state_sha256":"505f98bbcb92bd48e04e33ae40ca8b52be7a410eb977ae09fb2878d22f856c54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCk9APzvBf6wLsVtp1VIdQmS87tZ39mA6FLDuVM5hLho6PYBGJYOXe1xq/wKMl/WoUmIpkWzK2JfFst2g5S4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T08:57:03.430860Z","bundle_sha256":"b0e6358bc8c7147ca8181111c04c206a40b8aab5579ae94006a04a40a9bdcb5d"}}