{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GNUTKT7LAEHWSMEJ5HG4R6BEL4","short_pith_number":"pith:GNUTKT7L","canonical_record":{"source":{"id":"1707.05319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-17T18:00:00Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"662efbd4ab9191634c26c22da9679a56a8d531a153a967b9df620257181ef07d","abstract_canon_sha256":"816edab9def3b9bd3a26ac32c8aec5202ebc4a140965f847aa49a42a05d7b63b"},"schema_version":"1.0"},"canonical_sha256":"3369354feb010f693089e9cdc8f8245f128b6a5bdd7d37e186d3e2d783c93b83","source":{"kind":"arxiv","id":"1707.05319","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05319","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05319v2","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05319","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"GNUTKT7LAEHW","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GNUTKT7LAEHWSMEJ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GNUTKT7L","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GNUTKT7LAEHWSMEJ5HG4R6BEL4","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-17T18:00:00Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"662efbd4ab9191634c26c22da9679a56a8d531a153a967b9df620257181ef07d","abstract_canon_sha256":"816edab9def3b9bd3a26ac32c8aec5202ebc4a140965f847aa49a42a05d7b63b"},"schema_version":"1.0"},"canonical_sha256":"3369354feb010f693089e9cdc8f8245f128b6a5bdd7d37e186d3e2d783c93b83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:16.040443Z","signature_b64":"PvQnGbbwogE/YNzTVOjgH/kvw8GREPnqWxL6fY3CK6L54WZMz2Ce+HPeaOooTWOJtCHZL3kQL1tYvn51zyOqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3369354feb010f693089e9cdc8f8245f128b6a5bdd7d37e186d3e2d783c93b83","last_reissued_at":"2026-05-18T00:35:16.039844Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:16.039844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05319","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":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EQtwmSS3VP0TIyJae3rFuwHUtNIhaGf/jq2f6Wao8ziO3DaqqHLEraZJpJJ/Re8I8b9qID9VD+uVkNmLyegMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T20:42:27.457609Z"},"content_sha256":"f7636455e020b29afb99817d7eba8d23b9068cf96babfc1ceeb0e0d529fe3daa","schema_version":"1.0","event_id":"sha256:f7636455e020b29afb99817d7eba8d23b9068cf96babfc1ceeb0e0d529fe3daa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GNUTKT7LAEHWSMEJ5HG4R6BEL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Separating metric perturbations in near-horizon extremal Kerr","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Baoyi Chen, Leo C. Stein","submitted_at":"2017-07-17T18:00:00Z","abstract_excerpt":"Linear perturbation theory is a powerful toolkit for studying black hole spacetimes. However, the perturbation equations are hard to solve unless we can use separation of variables. In the Kerr spacetime, metric perturbations do not separate, but curvature perturbations do. The cost of curvature perturbations is a very complicated metric-reconstruction procedure. This procedure can be avoided using a symmetry-adapted choice of basis functions in highly symmetric spacetimes, such as near-horizon extremal Kerr. In this paper, we focus on this spacetime, and (i) construct the symmetry-adapted bas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05319","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":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iFiTJgC0RSRCAC+1ouA+0NPGt5zq4X51sMSVXfd3e+tu8QsFooab+CbkAEGLUWC6FkZNLEhDFLNkARSxxYAMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T20:42:27.458190Z"},"content_sha256":"ad47b3c00c6c4a56605509a27143dae0bd02eb6f71f3cba7bcf33faface50760","schema_version":"1.0","event_id":"sha256:ad47b3c00c6c4a56605509a27143dae0bd02eb6f71f3cba7bcf33faface50760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/bundle.json","state_url":"https://pith.science/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/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":"2026-08-02T20:42:27Z","links":{"resolver":"https://pith.science/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4","bundle":"https://pith.science/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/bundle.json","state":"https://pith.science/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GNUTKT7LAEHWSMEJ5HG4R6BEL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GNUTKT7LAEHWSMEJ5HG4R6BEL4","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":"816edab9def3b9bd3a26ac32c8aec5202ebc4a140965f847aa49a42a05d7b63b","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-17T18:00:00Z","title_canon_sha256":"662efbd4ab9191634c26c22da9679a56a8d531a153a967b9df620257181ef07d"},"schema_version":"1.0","source":{"id":"1707.05319","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05319","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05319v2","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05319","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"GNUTKT7LAEHW","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GNUTKT7LAEHWSMEJ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GNUTKT7L","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:ad47b3c00c6c4a56605509a27143dae0bd02eb6f71f3cba7bcf33faface50760","target":"graph","created_at":"2026-05-18T00:35:16Z","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":"Linear perturbation theory is a powerful toolkit for studying black hole spacetimes. However, the perturbation equations are hard to solve unless we can use separation of variables. In the Kerr spacetime, metric perturbations do not separate, but curvature perturbations do. The cost of curvature perturbations is a very complicated metric-reconstruction procedure. This procedure can be avoided using a symmetry-adapted choice of basis functions in highly symmetric spacetimes, such as near-horizon extremal Kerr. In this paper, we focus on this spacetime, and (i) construct the symmetry-adapted bas","authors_text":"Baoyi Chen, Leo C. Stein","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-17T18:00:00Z","title":"Separating metric perturbations in near-horizon extremal Kerr"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05319","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:f7636455e020b29afb99817d7eba8d23b9068cf96babfc1ceeb0e0d529fe3daa","target":"record","created_at":"2026-05-18T00:35:16Z","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":"816edab9def3b9bd3a26ac32c8aec5202ebc4a140965f847aa49a42a05d7b63b","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-17T18:00:00Z","title_canon_sha256":"662efbd4ab9191634c26c22da9679a56a8d531a153a967b9df620257181ef07d"},"schema_version":"1.0","source":{"id":"1707.05319","kind":"arxiv","version":2}},"canonical_sha256":"3369354feb010f693089e9cdc8f8245f128b6a5bdd7d37e186d3e2d783c93b83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3369354feb010f693089e9cdc8f8245f128b6a5bdd7d37e186d3e2d783c93b83","first_computed_at":"2026-05-18T00:35:16.039844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:16.039844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PvQnGbbwogE/YNzTVOjgH/kvw8GREPnqWxL6fY3CK6L54WZMz2Ce+HPeaOooTWOJtCHZL3kQL1tYvn51zyOqAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:16.040443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05319","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7636455e020b29afb99817d7eba8d23b9068cf96babfc1ceeb0e0d529fe3daa","sha256:ad47b3c00c6c4a56605509a27143dae0bd02eb6f71f3cba7bcf33faface50760"],"state_sha256":"da52468467e19b1d305590b1d35b2093684fafe7f8e76aecdc0193ce7b317d0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2nO0b3vNBQ9WvqTlriklxOSb3uFeAuyPyh+4lc6FWbJ/B3p8R8Egn+qHOFUWAig6MOj5RBlu8k6DvtwSRShmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T20:42:27.463453Z","bundle_sha256":"3cc0f8874f5a811c0bffaad30220a98a8b66323e78a57b9123736890b364836c"}}