Pith Number

pith:ET4ZZIPM

pith:2020:ET4ZZIPMBJRKURIOTR52WLOPJA

not attested not anchored not stored refs pending

A Gaussian version of Littlewood's theorem on random power series

Chao Liu, Guozheng Cheng, Kunyu Guo, Xiang Fang

arxiv:2007.06285 v2 · 2020-07-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ET4ZZIPMBJRKURIOTR52WLOPJA}

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	2026-07-05T02:26:26.768927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f99ca1ec0a62aa450e9c7bab2dcf48297b9371a33f27ec4fab47788619b9a4

Aliases

arxiv: 2007.06285 · arxiv_version: 2007.06285v2 · doi: 10.48550/arxiv.2007.06285 · pith_short_12: ET4ZZIPMBJRK · pith_short_16: ET4ZZIPMBJRKURIO · pith_short_8: ET4ZZIPM

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/ET4ZZIPMBJRKURIOTR52WLOPJA \
  | 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: 24f99ca1ec0a62aa450e9c7bab2dcf48297b9371a33f27ec4fab47788619b9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a71efee8ee84537edaddef2982da13d9ce235507ed703e1b0413da35cb506db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-07-13T10:09:48Z",
    "title_canon_sha256": "bba658c9f815182163f500feb74cd3790e55691679a11b2f4f516baa015b2136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06285",
    "kind": "arxiv",
    "version": 2
  }
}