{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XW3AHPRF4XKNUD5PL52RJE7KXG","short_pith_number":"pith:XW3AHPRF","canonical_record":{"source":{"id":"2506.00184","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T19:42:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"39549b3b3cc4759272b22947fe4196f6f26e9fbffb67adf7b0f4528fa327ed45","abstract_canon_sha256":"8be5fbea209a7a1fc0e22426336c300264f4a7fcbed4c90c3981a26537baccbc"},"schema_version":"1.0"},"canonical_sha256":"bdb603be25e5d4da0faf5f751493eab9b924d58c527b872c047c90a0cc92d322","source":{"kind":"arxiv","id":"2506.00184","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00184","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00184v1","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00184","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"XW3AHPRF4XKN","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_16","alias_value":"XW3AHPRF4XKNUD5P","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_8","alias_value":"XW3AHPRF","created_at":"2026-07-05T11:13:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XW3AHPRF4XKNUD5PL52RJE7KXG","target":"record","payload":{"canonical_record":{"source":{"id":"2506.00184","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T19:42:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"39549b3b3cc4759272b22947fe4196f6f26e9fbffb67adf7b0f4528fa327ed45","abstract_canon_sha256":"8be5fbea209a7a1fc0e22426336c300264f4a7fcbed4c90c3981a26537baccbc"},"schema_version":"1.0"},"canonical_sha256":"bdb603be25e5d4da0faf5f751493eab9b924d58c527b872c047c90a0cc92d322","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:30.276832Z","signature_b64":"GsO8gTr/RBI5fCTk9i+a+bWqT3gHUL0aI3KKhPQgBoHJ+DI0PRraAsPt5XpFzpjTv9RgdLYOHhvvYEM/2MMtCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdb603be25e5d4da0faf5f751493eab9b924d58c527b872c047c90a0cc92d322","last_reissued_at":"2026-07-05T11:13:30.276395Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:30.276395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.00184","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":"2026-07-05T11:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7/oYZkz3XgOdf4ijpRBjkctNQkZ4wKNLQbZiRVnpvCbUa3dXbYefXJEZK1TcnjNSvhpBAdGRBs+kRQkfDdADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:19:59.581697Z"},"content_sha256":"78290f7edb059fd3e521e33f2d604fd1a4a9a104f59532d5247a6ca59675c8b9","schema_version":"1.0","event_id":"sha256:78290f7edb059fd3e521e33f2d604fd1a4a9a104f59532d5247a6ca59675c8b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XW3AHPRF4XKNUD5PL52RJE7KXG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\mathrm{SL}(2,\\mathbb{R})$ families of Kerr black holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Robert Penna","submitted_at":"2025-05-30T19:42:08Z","abstract_excerpt":"The stationary, axisymmetric sector of vacuum general relativity (with zero cosmological constant) enjoys an $\\mathrm{SL}(2,\\mathbb{R})$ symmetry called the Matzner-Misner group. We study the action of the Matzner-Misner group on the Kerr black hole. We show that the group acts naturally on a three parameter generalization of the usual two parameter Kerr solution. The new parameter represents a large diffeomorphism which gives the spacetime an asymptotic angular velocity. We explain how the $\\mathrm{SL}(2,\\mathbb{R})$ symmetry organizes the space of three parameter Kerr solutions into the clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00184","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/2506.00184/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":"2026-07-05T11:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AvkR7KV793EsPXk5lekiR8z4Mp+fjlgocfJeL6tUaKoDv/K39Lzp3PJXi4+iwyz/HmwgwzTJjv0waGUbkH2VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:19:59.582605Z"},"content_sha256":"b6ffabaa3e493b257e2e78f0e8750761c49eb251f0552b1c8230f52442d82aa4","schema_version":"1.0","event_id":"sha256:b6ffabaa3e493b257e2e78f0e8750761c49eb251f0552b1c8230f52442d82aa4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/bundle.json","state_url":"https://pith.science/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/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":"2026-08-08T07:19:59Z","links":{"resolver":"https://pith.science/pith/XW3AHPRF4XKNUD5PL52RJE7KXG","bundle":"https://pith.science/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/bundle.json","state":"https://pith.science/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XW3AHPRF4XKNUD5PL52RJE7KXG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XW3AHPRF4XKNUD5PL52RJE7KXG","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":"8be5fbea209a7a1fc0e22426336c300264f4a7fcbed4c90c3981a26537baccbc","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T19:42:08Z","title_canon_sha256":"39549b3b3cc4759272b22947fe4196f6f26e9fbffb67adf7b0f4528fa327ed45"},"schema_version":"1.0","source":{"id":"2506.00184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00184","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00184v1","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00184","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"XW3AHPRF4XKN","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_16","alias_value":"XW3AHPRF4XKNUD5P","created_at":"2026-07-05T11:13:30Z"},{"alias_kind":"pith_short_8","alias_value":"XW3AHPRF","created_at":"2026-07-05T11:13:30Z"}],"graph_snapshots":[{"event_id":"sha256:b6ffabaa3e493b257e2e78f0e8750761c49eb251f0552b1c8230f52442d82aa4","target":"graph","created_at":"2026-07-05T11:13:30Z","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/2506.00184/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The stationary, axisymmetric sector of vacuum general relativity (with zero cosmological constant) enjoys an $\\mathrm{SL}(2,\\mathbb{R})$ symmetry called the Matzner-Misner group. We study the action of the Matzner-Misner group on the Kerr black hole. We show that the group acts naturally on a three parameter generalization of the usual two parameter Kerr solution. The new parameter represents a large diffeomorphism which gives the spacetime an asymptotic angular velocity. We explain how the $\\mathrm{SL}(2,\\mathbb{R})$ symmetry organizes the space of three parameter Kerr solutions into the clas","authors_text":"Robert Penna","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T19:42:08Z","title":"$\\mathrm{SL}(2,\\mathbb{R})$ families of Kerr black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00184","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":"sha256:78290f7edb059fd3e521e33f2d604fd1a4a9a104f59532d5247a6ca59675c8b9","target":"record","created_at":"2026-07-05T11:13:30Z","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":"8be5fbea209a7a1fc0e22426336c300264f4a7fcbed4c90c3981a26537baccbc","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T19:42:08Z","title_canon_sha256":"39549b3b3cc4759272b22947fe4196f6f26e9fbffb67adf7b0f4528fa327ed45"},"schema_version":"1.0","source":{"id":"2506.00184","kind":"arxiv","version":1}},"canonical_sha256":"bdb603be25e5d4da0faf5f751493eab9b924d58c527b872c047c90a0cc92d322","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdb603be25e5d4da0faf5f751493eab9b924d58c527b872c047c90a0cc92d322","first_computed_at":"2026-07-05T11:13:30.276395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:30.276395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GsO8gTr/RBI5fCTk9i+a+bWqT3gHUL0aI3KKhPQgBoHJ+DI0PRraAsPt5XpFzpjTv9RgdLYOHhvvYEM/2MMtCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:30.276832Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78290f7edb059fd3e521e33f2d604fd1a4a9a104f59532d5247a6ca59675c8b9","sha256:b6ffabaa3e493b257e2e78f0e8750761c49eb251f0552b1c8230f52442d82aa4"],"state_sha256":"5129142f995f96074eb48ad8dceff5171775d96cc4f77ca1d0ed5f759b7a311e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V4f9AvkcMNltrH1aDAO/QnHmuJwMcLL+R83QZhy8zvSMzrf6M/IuEVVJUI44Nbr65c0nEOSXDJwxtPg0ECAMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T07:19:59.587752Z","bundle_sha256":"44efb69d8fabf39ffbc526d66f4ef078f1474d71bcaf0a01a966db8074aadc48"}}