{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:PX4YNOVX6CZ4UZSGWFFZZT4IZG","short_pith_number":"pith:PX4YNOVX","canonical_record":{"source":{"id":"hep-th/0512296","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-22T20:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"b35f159410b8bb2a13cac64ae02bf2d61deebb25e2513d9f6385e1467882efe7","abstract_canon_sha256":"f0cdd495bdb8b8865fbdf7245787590a4a41b2a9babcdad1d3d7357cc49146ef"},"schema_version":"1.0"},"canonical_sha256":"7df986bab7f0b3ca6646b14b9ccf88c992b2d2004eb79025bb830e505a8747a9","source":{"kind":"arxiv","id":"hep-th/0512296","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512296","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512296v2","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512296","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"PX4YNOVX6CZ4","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"PX4YNOVX6CZ4UZSG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"PX4YNOVX","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:PX4YNOVX6CZ4UZSGWFFZZT4IZG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0512296","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-22T20:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"b35f159410b8bb2a13cac64ae02bf2d61deebb25e2513d9f6385e1467882efe7","abstract_canon_sha256":"f0cdd495bdb8b8865fbdf7245787590a4a41b2a9babcdad1d3d7357cc49146ef"},"schema_version":"1.0"},"canonical_sha256":"7df986bab7f0b3ca6646b14b9ccf88c992b2d2004eb79025bb830e505a8747a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:45.113653Z","signature_b64":"qhDl9XzfaOGeafMsxFm1X8J21/xrT9tiZByDrzGmPOesfJuv6P09K+ZEhWcVCYr1kHXNHQ5mah2nP8Sfk7nVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7df986bab7f0b3ca6646b14b9ccf88c992b2d2004eb79025bb830e505a8747a9","last_reissued_at":"2026-05-18T04:29:45.113249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:45.113249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0512296","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":"2026-05-18T04:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmhxr0RCGtJUWm0BQpWTNGSC5ijFFvmNgFyh1WqpcLel3qHZ1qvTS7j3S1ueeQ6D3RWXHmfPoG0qB+TBB032DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:25:01.784655Z"},"content_sha256":"993530b9c6d1a9a1f79332d118eb7964cfc530d7aa881e5bda7411092e108835","schema_version":"1.0","event_id":"sha256:993530b9c6d1a9a1f79332d118eb7964cfc530d7aa881e5bda7411092e108835"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:PX4YNOVX6CZ4UZSGWFFZZT4IZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BPS black holes, quantum attractor flows and automorphic forms","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Andrew Waldron, Boris Pioline, Murat Gunaydin","submitted_at":"2005-12-22T20:54:10Z","abstract_excerpt":"We propose a program for counting microstates of four-dimensional BPS black holes in N >= 2 supergravities with symmetric-space valued scalars by exploiting the symmetries of timelike reduction to three dimensions. Inspired by the equivalence between the four dimensional attractor flow and geodesic flow on the three-dimensional scalar manifold, we radially quantize stationary, spherically symmetric BPS geometries. Connections between the topological string amplitude, attractor wave function, the Ooguri-Strominger-Vafa conjecture and the theory of automorphic forms suggest that black hole degen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512296","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":"2026-05-18T04:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iV1LLXD58OHA5+06UDp0jrSqCj+J0ORq/71Uec+ODs1Hx1Zi63J1JndUPuobDoxYXAwKoVaDG0dyNHjOkrMcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:25:01.785358Z"},"content_sha256":"2d4c237163bbf716a31c08f8d1b5658733861b57409c9314b26cf5dc5aa73188","schema_version":"1.0","event_id":"sha256:2d4c237163bbf716a31c08f8d1b5658733861b57409c9314b26cf5dc5aa73188"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/bundle.json","state_url":"https://pith.science/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/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":"2026-05-27T11:25:01Z","links":{"resolver":"https://pith.science/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG","bundle":"https://pith.science/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/bundle.json","state":"https://pith.science/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PX4YNOVX6CZ4UZSGWFFZZT4IZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:PX4YNOVX6CZ4UZSGWFFZZT4IZG","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":"f0cdd495bdb8b8865fbdf7245787590a4a41b2a9babcdad1d3d7357cc49146ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-22T20:54:10Z","title_canon_sha256":"b35f159410b8bb2a13cac64ae02bf2d61deebb25e2513d9f6385e1467882efe7"},"schema_version":"1.0","source":{"id":"hep-th/0512296","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512296","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512296v2","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512296","created_at":"2026-05-18T04:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"PX4YNOVX6CZ4","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"PX4YNOVX6CZ4UZSG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"PX4YNOVX","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2d4c237163bbf716a31c08f8d1b5658733861b57409c9314b26cf5dc5aa73188","target":"graph","created_at":"2026-05-18T04:29:45Z","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 propose a program for counting microstates of four-dimensional BPS black holes in N >= 2 supergravities with symmetric-space valued scalars by exploiting the symmetries of timelike reduction to three dimensions. Inspired by the equivalence between the four dimensional attractor flow and geodesic flow on the three-dimensional scalar manifold, we radially quantize stationary, spherically symmetric BPS geometries. Connections between the topological string amplitude, attractor wave function, the Ooguri-Strominger-Vafa conjecture and the theory of automorphic forms suggest that black hole degen","authors_text":"Andrew Neitzke, Andrew Waldron, Boris Pioline, Murat Gunaydin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-12-22T20:54:10Z","title":"BPS black holes, quantum attractor flows and automorphic forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512296","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":"sha256:993530b9c6d1a9a1f79332d118eb7964cfc530d7aa881e5bda7411092e108835","target":"record","created_at":"2026-05-18T04:29:45Z","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":"f0cdd495bdb8b8865fbdf7245787590a4a41b2a9babcdad1d3d7357cc49146ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-22T20:54:10Z","title_canon_sha256":"b35f159410b8bb2a13cac64ae02bf2d61deebb25e2513d9f6385e1467882efe7"},"schema_version":"1.0","source":{"id":"hep-th/0512296","kind":"arxiv","version":2}},"canonical_sha256":"7df986bab7f0b3ca6646b14b9ccf88c992b2d2004eb79025bb830e505a8747a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7df986bab7f0b3ca6646b14b9ccf88c992b2d2004eb79025bb830e505a8747a9","first_computed_at":"2026-05-18T04:29:45.113249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:45.113249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhDl9XzfaOGeafMsxFm1X8J21/xrT9tiZByDrzGmPOesfJuv6P09K+ZEhWcVCYr1kHXNHQ5mah2nP8Sfk7nVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:45.113653Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0512296","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:993530b9c6d1a9a1f79332d118eb7964cfc530d7aa881e5bda7411092e108835","sha256:2d4c237163bbf716a31c08f8d1b5658733861b57409c9314b26cf5dc5aa73188"],"state_sha256":"7af457bb85d51f6f4aa82c7412dce7719b5e8ba0693391cdaa70e97804ed68e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cj2VM9ZUFY0VdH06NPZvYBfNK8WIREwQ8IiFJBdJvEDkn0N5AO5i2Fx4KCSij4zSjPUgF57es3ygt6helVt4DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:25:01.789029Z","bundle_sha256":"c2be4d3db9b0dba1823a48be047f4fe15c111c7d0ff2a9c2068d544154bae588"}}