{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PUJ3KRJIP7PW7JLK3L4FY5Q3LH","short_pith_number":"pith:PUJ3KRJI","canonical_record":{"source":{"id":"hep-th/0606244","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-26T06:50:32Z","cross_cats_sorted":[],"title_canon_sha256":"a0a8c696fd74e973dff51eaa073f89c6d84045194357855622bd6b116e1166a9","abstract_canon_sha256":"52d84536adccea881820fac07554183c4153ab2801887630be1d359ffa57515b"},"schema_version":"1.0"},"canonical_sha256":"7d13b545287fdf6fa56adaf85c761b59f825c729490fe3efd3f6192bbad99ffa","source":{"kind":"arxiv","id":"hep-th/0606244","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606244","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606244v2","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606244","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"PUJ3KRJIP7PW","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_16","alias_value":"PUJ3KRJIP7PW7JLK","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_8","alias_value":"PUJ3KRJI","created_at":"2026-07-04T17:25:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PUJ3KRJIP7PW7JLK3L4FY5Q3LH","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0606244","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-26T06:50:32Z","cross_cats_sorted":[],"title_canon_sha256":"a0a8c696fd74e973dff51eaa073f89c6d84045194357855622bd6b116e1166a9","abstract_canon_sha256":"52d84536adccea881820fac07554183c4153ab2801887630be1d359ffa57515b"},"schema_version":"1.0"},"canonical_sha256":"7d13b545287fdf6fa56adaf85c761b59f825c729490fe3efd3f6192bbad99ffa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:26.574422Z","signature_b64":"tI25fJH2PL/WiPIqp+dHPgFfG2nN2ftb16VMaNA9uKfXA4wE9cJaAAAmdBVB1q0DQBLyR1YkE62gY7PBnRTRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d13b545287fdf6fa56adaf85c761b59f825c729490fe3efd3f6192bbad99ffa","last_reissued_at":"2026-07-04T17:25:26.573979Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:26.573979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0606244","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":"2026-07-04T17:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g9qblm6KmNfIW6QcKh7QfQnGuGZxFQlTiPt7XtxreNhylOnzejGZX2zLKkDrHbUe0PyPz0F6Sf/P4JCBctYWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:02:19.355938Z"},"content_sha256":"b4daf4dca94f3d15a739808f3304090190bad32c27d51c84a090284fbc3ddcb2","schema_version":"1.0","event_id":"sha256:b4daf4dca94f3d15a739808f3304090190bad32c27d51c84a090284fbc3ddcb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PUJ3KRJIP7PW7JLK3L4FY5Q3LH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rotating Attractors","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ashoke Sen, Dumitru Astefanesei, Kevin Goldstein, Rudra P. Jena, Sandip P. Trivedi","submitted_at":"2006-06-26T06:50:32Z","abstract_excerpt":"We prove that, in a general higher derivative theory of gravity coupled to abelian gauge fields and neutral scalar fields, the entropy and the near horizon background of a rotating extremal black hole is obtained by extremizing an entropy function which depends only on the parameters labeling the near horizon background and the electric and magnetic charges and angular momentum carried by the black hole. If the entropy function has a unique extremum then this extremum must be independent of the asymptotic values of the moduli scalar fields and the solution exhibits attractor behaviour. If the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606244","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0606244/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":"2026-07-04T17:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NXvD1uIuml1R8H2jCEytbLAYLTym57sCBImoO1RA1LVvHTlbRx0EZHrJnpVGwOCIr5BfbiZdppu0YQjlG3z3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:02:19.356774Z"},"content_sha256":"53e939c56a6372dd4be873d5b48bdb9a3d4dbe285db232f5fa3b616773d6af5f","schema_version":"1.0","event_id":"sha256:53e939c56a6372dd4be873d5b48bdb9a3d4dbe285db232f5fa3b616773d6af5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/bundle.json","state_url":"https://pith.science/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/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":"2026-08-10T06:02:19Z","links":{"resolver":"https://pith.science/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH","bundle":"https://pith.science/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/bundle.json","state":"https://pith.science/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUJ3KRJIP7PW7JLK3L4FY5Q3LH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PUJ3KRJIP7PW7JLK3L4FY5Q3LH","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":"52d84536adccea881820fac07554183c4153ab2801887630be1d359ffa57515b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-26T06:50:32Z","title_canon_sha256":"a0a8c696fd74e973dff51eaa073f89c6d84045194357855622bd6b116e1166a9"},"schema_version":"1.0","source":{"id":"hep-th/0606244","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606244","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606244v2","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606244","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"PUJ3KRJIP7PW","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_16","alias_value":"PUJ3KRJIP7PW7JLK","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_8","alias_value":"PUJ3KRJI","created_at":"2026-07-04T17:25:26Z"}],"graph_snapshots":[{"event_id":"sha256:53e939c56a6372dd4be873d5b48bdb9a3d4dbe285db232f5fa3b616773d6af5f","target":"graph","created_at":"2026-07-04T17:25:26Z","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/hep-th/0606244/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that, in a general higher derivative theory of gravity coupled to abelian gauge fields and neutral scalar fields, the entropy and the near horizon background of a rotating extremal black hole is obtained by extremizing an entropy function which depends only on the parameters labeling the near horizon background and the electric and magnetic charges and angular momentum carried by the black hole. If the entropy function has a unique extremum then this extremum must be independent of the asymptotic values of the moduli scalar fields and the solution exhibits attractor behaviour. If the ","authors_text":"Ashoke Sen, Dumitru Astefanesei, Kevin Goldstein, Rudra P. Jena, Sandip P. Trivedi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-06-26T06:50:32Z","title":"Rotating Attractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606244","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:b4daf4dca94f3d15a739808f3304090190bad32c27d51c84a090284fbc3ddcb2","target":"record","created_at":"2026-07-04T17:25:26Z","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":"52d84536adccea881820fac07554183c4153ab2801887630be1d359ffa57515b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-26T06:50:32Z","title_canon_sha256":"a0a8c696fd74e973dff51eaa073f89c6d84045194357855622bd6b116e1166a9"},"schema_version":"1.0","source":{"id":"hep-th/0606244","kind":"arxiv","version":2}},"canonical_sha256":"7d13b545287fdf6fa56adaf85c761b59f825c729490fe3efd3f6192bbad99ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d13b545287fdf6fa56adaf85c761b59f825c729490fe3efd3f6192bbad99ffa","first_computed_at":"2026-07-04T17:25:26.573979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:26.573979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tI25fJH2PL/WiPIqp+dHPgFfG2nN2ftb16VMaNA9uKfXA4wE9cJaAAAmdBVB1q0DQBLyR1YkE62gY7PBnRTRBA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:26.574422Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0606244","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4daf4dca94f3d15a739808f3304090190bad32c27d51c84a090284fbc3ddcb2","sha256:53e939c56a6372dd4be873d5b48bdb9a3d4dbe285db232f5fa3b616773d6af5f"],"state_sha256":"f0c02c9469aebf5f13a64ded9665bf90790759a8ba2e991e8dd8795b6138d32a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6NYY6XrRc1lkiVsnZ938QtPKTh9X3BcFVn5lDDAFnaiYSEJuYyv7z/IhPhNr4/JnpIy6ZseX56/FAH/4Mo3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:02:19.362552Z","bundle_sha256":"208815c5ccdf539fbc0dce3ce7bef2e03eb9f93be4177330b5301e452ec7ba03"}}