{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TFYDYNCW6ZDUOWLNLO34SVVDVB","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":"2892b2a90a99f2119b572f573952f8f4ab498f7edbd2696532e7955ce5aa92a6","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-14T07:52:40Z","title_canon_sha256":"fd165aa12a8c2a56df2ad1d4a65d76aee8499c4673d541c9fc27851f5b21ab74"},"schema_version":"1.0","source":{"id":"1502.04178","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04178","created_at":"2026-05-18T01:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04178v2","created_at":"2026-05-18T01:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04178","created_at":"2026-05-18T01:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"TFYDYNCW6ZDU","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TFYDYNCW6ZDUOWLN","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TFYDYNCW","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:54ddf3c301bd476b158fbb30fd63bf645729006191be5b21a8ae8628d9b5a640","target":"graph","created_at":"2026-05-18T01:13:44Z","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":"Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions.","authors_text":"F. G\\\"otze, G. P. Chistyakov, S. G. Bobkov","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-14T07:52:40Z","title":"Second order concentration on the sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04178","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":"sha256:78ebf707e4c8ad0ed69ce48971119f00182e9f9deb0e17c7d7fbd7bf792fb17c","target":"record","created_at":"2026-05-18T01:13:44Z","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":"2892b2a90a99f2119b572f573952f8f4ab498f7edbd2696532e7955ce5aa92a6","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-14T07:52:40Z","title_canon_sha256":"fd165aa12a8c2a56df2ad1d4a65d76aee8499c4673d541c9fc27851f5b21ab74"},"schema_version":"1.0","source":{"id":"1502.04178","kind":"arxiv","version":2}},"canonical_sha256":"99703c3456f64747596d5bb7c956a3a86acd4ca369d9700b78806046e4e427ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99703c3456f64747596d5bb7c956a3a86acd4ca369d9700b78806046e4e427ba","first_computed_at":"2026-05-18T01:13:44.984144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:44.984144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rODIOd7Z+MzBBORM5jvRrGOQS0rCsfHxCULaV99a4X0guVC7zQaqo1f9weB2Qn0qMFzbG0styV6AZXA6SPorBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:44.984789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04178","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78ebf707e4c8ad0ed69ce48971119f00182e9f9deb0e17c7d7fbd7bf792fb17c","sha256:54ddf3c301bd476b158fbb30fd63bf645729006191be5b21a8ae8628d9b5a640"],"state_sha256":"155b82846925c98ba82b2adaffbc8ab7bf95c552509f744ef560c73a998556cc"}