{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:M3EUHVODZKGL5U6Z4KC5VV7TUS","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":"734635bbd42c56c0b73629f788617f0f683d0ca88724e26aeea58c8e58019d26","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-01-23T10:53:03Z","title_canon_sha256":"75ea484a5e2bdff57cf1255e047ad6c4fc582f8dac55f66f4ddff26404ae58e1"},"schema_version":"1.0","source":{"id":"math/0401310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0401310","created_at":"2026-07-04T14:38:10Z"},{"alias_kind":"arxiv_version","alias_value":"math/0401310v1","created_at":"2026-07-04T14:38:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0401310","created_at":"2026-07-04T14:38:10Z"},{"alias_kind":"pith_short_12","alias_value":"M3EUHVODZKGL","created_at":"2026-07-04T14:38:10Z"},{"alias_kind":"pith_short_16","alias_value":"M3EUHVODZKGL5U6Z","created_at":"2026-07-04T14:38:10Z"},{"alias_kind":"pith_short_8","alias_value":"M3EUHVOD","created_at":"2026-07-04T14:38:10Z"}],"graph_snapshots":[{"event_id":"sha256:f8c8e6b41b681a6fb0e1a01bdd55fc0672401ae31378e5006c0e81265323c344","target":"graph","created_at":"2026-07-04T14:38:10Z","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/math/0401310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value of $|H_k(x)| e^{-x^2/2},$ on the real axis, where $H_k$ are the Hermite polynomials.","authors_text":"Ilia Krasikov","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2004-01-23T10:53:03Z","title":"New bounds on the Hermite polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0401310","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:fe911a9a0e361a3793d9f8e381a27355fc9b52040cccf363470b2af55c38e92d","target":"record","created_at":"2026-07-04T14:38:10Z","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":"734635bbd42c56c0b73629f788617f0f683d0ca88724e26aeea58c8e58019d26","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-01-23T10:53:03Z","title_canon_sha256":"75ea484a5e2bdff57cf1255e047ad6c4fc582f8dac55f66f4ddff26404ae58e1"},"schema_version":"1.0","source":{"id":"math/0401310","kind":"arxiv","version":1}},"canonical_sha256":"66c943d5c3ca8cbed3d9e285dad7f3a4941689310fae3ff8dec4c0870267e171","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66c943d5c3ca8cbed3d9e285dad7f3a4941689310fae3ff8dec4c0870267e171","first_computed_at":"2026-07-04T14:38:10.944636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:38:10.944636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cmV4pMb0u4zCb0CN97GFWeayZV2mHRQR0F44mwZfxOwnNSftAVa/q8S/f40G76D49/0NdcGpfjSYD0q9H3Y7AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:38:10.945010Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0401310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe911a9a0e361a3793d9f8e381a27355fc9b52040cccf363470b2af55c38e92d","sha256:f8c8e6b41b681a6fb0e1a01bdd55fc0672401ae31378e5006c0e81265323c344"],"state_sha256":"da73592c511dc0898a0342096293d6f8a0cf466b6198930014d2b1eabd9afb21"}