{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZICXCGZBF5WPK34K55TZPF7OXW","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":"5ac6b81661edcd20408cc25189480297ef32a27e2bd3d34c5d9949ef37fb26a8","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-10-30T11:01:00Z","title_canon_sha256":"79788da412b7f99cb07580df8dedf14c9474ad235db938b196c3d769e8c1fc10"},"schema_version":"1.0","source":{"id":"1310.8102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8102","created_at":"2026-05-18T03:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8102v1","created_at":"2026-05-18T03:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8102","created_at":"2026-05-18T03:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"ZICXCGZBF5WP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZICXCGZBF5WPK34K","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZICXCGZB","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:192cd8f7a04f822dfe0389d5ba797d9695096f1e5d17a1cfcedc6fbc12ea802c","target":"graph","created_at":"2026-05-18T03:08:26Z","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"},"paper":{"abstract_excerpt":"We show that the hyperplane conjecture holds for the classes of $k$-intersection bodies with arbitrary measures in place of volume.","authors_text":"Alexander Koldobsky","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-10-30T11:01:00Z","title":"Slicing inequalities for subspaces of $L_p.$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8102","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:df818c9f19b7b7ee5832aff63d0d2e0dbfd666f1ec4d22b70dbe02d681c50933","target":"record","created_at":"2026-05-18T03:08:26Z","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":"5ac6b81661edcd20408cc25189480297ef32a27e2bd3d34c5d9949ef37fb26a8","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-10-30T11:01:00Z","title_canon_sha256":"79788da412b7f99cb07580df8dedf14c9474ad235db938b196c3d769e8c1fc10"},"schema_version":"1.0","source":{"id":"1310.8102","kind":"arxiv","version":1}},"canonical_sha256":"ca05711b212f6cf56f8aef679797eebd9422ec095927272fc9463b27278587a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca05711b212f6cf56f8aef679797eebd9422ec095927272fc9463b27278587a7","first_computed_at":"2026-05-18T03:08:26.020273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:26.020273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPqwnuKJ4R7YU4XotN5JlU+BAmDpUgkS9ndhMgjpAsDqbaWkEdiVwcriBiG4VNDJ55XvWzYBprMMTDZBfAxkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:26.021075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df818c9f19b7b7ee5832aff63d0d2e0dbfd666f1ec4d22b70dbe02d681c50933","sha256:192cd8f7a04f822dfe0389d5ba797d9695096f1e5d17a1cfcedc6fbc12ea802c"],"state_sha256":"755766725f1d76851eb63e51a4df209a735e004e845e2646534ca8be13e2890f"}