{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DM7ERT7KDMQJFLE6BVR6YF3FNH","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":"e236fa36ac58961f062dedd72a2097ac4f77a28a541a23e309d871abc83b68af","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-15T23:06:34Z","title_canon_sha256":"279cce2348601c87701c3505ea425046242f783dc7a9faaf409cd069e75a4cb1"},"schema_version":"1.0","source":{"id":"1501.03846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03846","created_at":"2026-05-18T01:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03846v1","created_at":"2026-05-18T01:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03846","created_at":"2026-05-18T01:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"DM7ERT7KDMQJ","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DM7ERT7KDMQJFLE6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DM7ERT7K","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:ac31a7f7f0bf951a6a1b5440ce4e9746df6eebdf4074a5206830a0154d58be23","target":"graph","created_at":"2026-05-18T01:46:22Z","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 obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies.  From these estimates we deduce pointwise bounds for the perturbations outside the horizon.","authors_text":"Ivan Gentile de Austria, Sergio Dain","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-15T23:06:34Z","title":"Bounds for axially symmetric linear perturbations for the extreme Kerr black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03846","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":"sha256:8cee6f0dc9efb73a7a0954c304f3e37ebb48cf26fa73aba45e691fdda831eb29","target":"record","created_at":"2026-05-18T01:46:22Z","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":"e236fa36ac58961f062dedd72a2097ac4f77a28a541a23e309d871abc83b68af","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-15T23:06:34Z","title_canon_sha256":"279cce2348601c87701c3505ea425046242f783dc7a9faaf409cd069e75a4cb1"},"schema_version":"1.0","source":{"id":"1501.03846","kind":"arxiv","version":1}},"canonical_sha256":"1b3e48cfea1b2092ac9e0d63ec176569c57304eb018dbc0d5f30d146702e2670","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b3e48cfea1b2092ac9e0d63ec176569c57304eb018dbc0d5f30d146702e2670","first_computed_at":"2026-05-18T01:46:22.044924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:22.044924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8vGkPq6rYsnzDqhWGFHyrytjhHkQh7h9iRmG1gpzNS7eew/K8g+shMe5XsWfJWSY06adBpi2wCpgAVo0ehwADQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:22.045499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cee6f0dc9efb73a7a0954c304f3e37ebb48cf26fa73aba45e691fdda831eb29","sha256:ac31a7f7f0bf951a6a1b5440ce4e9746df6eebdf4074a5206830a0154d58be23"],"state_sha256":"2e3b82d5c213972709c8154a68d0c1b15568d534f2aa97e4bd6dc91dea81cb8a"}