{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:V7SL2IYLQUIFL4FV4FEYXK7KUR","short_pith_number":"pith:V7SL2IYL","canonical_record":{"source":{"id":"0707.0267","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-07-02T16:44:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"73ec1eed3d45401cce480202bfe34e67cbd6a9ac1bdc4efa6a94b0e87f86c4b3","abstract_canon_sha256":"69ac71159da155d29918fc044cb15a7a272924e9a5f5d9534c2ed905f946817e"},"schema_version":"1.0"},"canonical_sha256":"afe4bd230b851055f0b5e1498babeaa46d5915d5a2b583a0fafb4fe198b540eb","source":{"kind":"arxiv","id":"0707.0267","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0267","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0267v3","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0267","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"pith_short_12","alias_value":"V7SL2IYLQUIF","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"V7SL2IYLQUIFL4FV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"V7SL2IYL","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:V7SL2IYLQUIFL4FV4FEYXK7KUR","target":"record","payload":{"canonical_record":{"source":{"id":"0707.0267","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-07-02T16:44:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"73ec1eed3d45401cce480202bfe34e67cbd6a9ac1bdc4efa6a94b0e87f86c4b3","abstract_canon_sha256":"69ac71159da155d29918fc044cb15a7a272924e9a5f5d9534c2ed905f946817e"},"schema_version":"1.0"},"canonical_sha256":"afe4bd230b851055f0b5e1498babeaa46d5915d5a2b583a0fafb4fe198b540eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:54.278070Z","signature_b64":"pKOm20LMYJTzWltgEslWHtPuLMFWy6C/skdtfiaiKG5dXr6S0PbnWMueaLVkkGD1msLE092WsFCGSzTKK2YEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afe4bd230b851055f0b5e1498babeaa46d5915d5a2b583a0fafb4fe198b540eb","last_reissued_at":"2026-05-18T04:29:54.277378Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:54.277378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.0267","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:29:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25xSX6nSXcOgG3aBwCIGjShHQhKWPj6GvtUYJUXgWZxny2Wxxg04Hjn/rjo6SoK6Ck0RPSn8YCqDsXf9wL6pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:40:44.845805Z"},"content_sha256":"533158a3f52560acfd82c671b7813aea45a59a67a9b83cfcd9df1ad14b6185e3","schema_version":"1.0","event_id":"sha256:533158a3f52560acfd82c671b7813aea45a59a67a9b83cfcd9df1ad14b6185e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:V7SL2IYLQUIFL4FV4FEYXK7KUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Attractor Flows","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Andrew Waldron, Boris Pioline, Murat Gunaydin","submitted_at":"2007-07-02T16:44:29Z","abstract_excerpt":"Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary, spherically symmetric black holes in four dimensions. A key ingredient is the classical equivalence between the radial evolution equation and geodesic motion of a fiducial particle on the moduli space M^*_3 of the three-dimensional theory after reduction along the time direction. In the case of N=2 supergravity, M^*_3 is a para-quaternionic-Kahler manifold; in this case, we show that BPS black holes corres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0267","kind":"arxiv","version":3},"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":"2026-05-18T04:29:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G7IrmUh6epiSi+PUr+ukTZeq697xQ7i1980U44r3l831CJRDkFhVMxtYIyoIcG9Ds5bljieo2gYoeARlL/UHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:40:44.846150Z"},"content_sha256":"d3fced1c6d24bfae087cf8a9271d9e9c3d12affa88237871e08cf9e4deebe9a4","schema_version":"1.0","event_id":"sha256:d3fced1c6d24bfae087cf8a9271d9e9c3d12affa88237871e08cf9e4deebe9a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/bundle.json","state_url":"https://pith.science/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/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":"2026-05-25T11:40:44Z","links":{"resolver":"https://pith.science/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR","bundle":"https://pith.science/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/bundle.json","state":"https://pith.science/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V7SL2IYLQUIFL4FV4FEYXK7KUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:V7SL2IYLQUIFL4FV4FEYXK7KUR","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":"69ac71159da155d29918fc044cb15a7a272924e9a5f5d9534c2ed905f946817e","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-07-02T16:44:29Z","title_canon_sha256":"73ec1eed3d45401cce480202bfe34e67cbd6a9ac1bdc4efa6a94b0e87f86c4b3"},"schema_version":"1.0","source":{"id":"0707.0267","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.0267","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"arxiv_version","alias_value":"0707.0267v3","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0267","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"pith_short_12","alias_value":"V7SL2IYLQUIF","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"V7SL2IYLQUIFL4FV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"V7SL2IYL","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:d3fced1c6d24bfae087cf8a9271d9e9c3d12affa88237871e08cf9e4deebe9a4","target":"graph","created_at":"2026-05-18T04:29:54Z","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":"Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary, spherically symmetric black holes in four dimensions. A key ingredient is the classical equivalence between the radial evolution equation and geodesic motion of a fiducial particle on the moduli space M^*_3 of the three-dimensional theory after reduction along the time direction. In the case of N=2 supergravity, M^*_3 is a para-quaternionic-Kahler manifold; in this case, we show that BPS black holes corres","authors_text":"Andrew Neitzke, Andrew Waldron, Boris Pioline, Murat Gunaydin","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-07-02T16:44:29Z","title":"Quantum Attractor Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0267","kind":"arxiv","version":3},"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":"sha256:533158a3f52560acfd82c671b7813aea45a59a67a9b83cfcd9df1ad14b6185e3","target":"record","created_at":"2026-05-18T04:29:54Z","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":"69ac71159da155d29918fc044cb15a7a272924e9a5f5d9534c2ed905f946817e","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-07-02T16:44:29Z","title_canon_sha256":"73ec1eed3d45401cce480202bfe34e67cbd6a9ac1bdc4efa6a94b0e87f86c4b3"},"schema_version":"1.0","source":{"id":"0707.0267","kind":"arxiv","version":3}},"canonical_sha256":"afe4bd230b851055f0b5e1498babeaa46d5915d5a2b583a0fafb4fe198b540eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe4bd230b851055f0b5e1498babeaa46d5915d5a2b583a0fafb4fe198b540eb","first_computed_at":"2026-05-18T04:29:54.277378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:54.277378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pKOm20LMYJTzWltgEslWHtPuLMFWy6C/skdtfiaiKG5dXr6S0PbnWMueaLVkkGD1msLE092WsFCGSzTKK2YEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:54.278070Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.0267","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:533158a3f52560acfd82c671b7813aea45a59a67a9b83cfcd9df1ad14b6185e3","sha256:d3fced1c6d24bfae087cf8a9271d9e9c3d12affa88237871e08cf9e4deebe9a4"],"state_sha256":"89ae79b8d42f0de10f31bae151052ca16242c69b7946c502dab10fdb48cc4820"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vBsbb7L9tRCALKZQ04FrR8MnBS620/8+dXUkq8Ncj7paSiIaTlgJWZfP6SlpFtl/tIiRna8/Jpw/gTq8iCR6Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T11:40:44.848811Z","bundle_sha256":"62f908b660c140581679e6eb4a8518cc750dd0a75b933be2ac74ba7e4371b233"}}