Pith Number

pith:WBYNFF2U

pith:2019:WBYNFF2UCWLUOVWJ4E4IDNRFHX

not attested not anchored not stored refs pending

A Refined Non-asymptotic Tail Bound of Sub-Gaussian Matrix

Hongwei Zhang, Xianjie Gao

arxiv:1906.10432 v1 · 2019-06-25 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBYNFF2UCWLUOVWJ4E4IDNRFHX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:42:16.368362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b070d2975415974756c9e13881b6253df868459f5ad01680c94eb6ed5a504478

Aliases

arxiv: 1906.10432 · arxiv_version: 1906.10432v1 · doi: 10.48550/arxiv.1906.10432 · pith_short_12: WBYNFF2UCWLU · pith_short_16: WBYNFF2UCWLUOVWJ · pith_short_8: WBYNFF2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WBYNFF2UCWLUOVWJ4E4IDNRFHX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b070d2975415974756c9e13881b6253df868459f5ad01680c94eb6ed5a504478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a98d6081286bce813f109f7c7a7f53b1ff1ba123f2230dd9b56b0742cc7d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-25T10:15:47Z",
    "title_canon_sha256": "ce112b39a61c36ad29dbe4dcea04b034083229b684d7d0b6271205a425c57f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10432",
    "kind": "arxiv",
    "version": 1
  }
}