Pith Number

pith:QIZHAWRZ

pith:2018:QIZHAWRZQBLVVIBGFSCJLJA4LV

not attested not anchored not stored refs pending

Large gaps of CUE and GUE

Dongyi Wei, Renjie Feng

arxiv:1807.02149 v3 · 2018-07-05 · 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{QIZHAWRZQBLVVIBGFSCJLJA4LV}

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.

Cited by

1 paper in Pith

Maximal Minimal Spacing for Random Points

Receipt and verification

First computed	2026-07-05T09:29:59.750457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8232705a3980575aa0262c8495a41c5d49fa00e956c08662f0b7e0a7daf348fe

Aliases

arxiv: 1807.02149 · arxiv_version: 1807.02149v3 · doi: 10.48550/arxiv.1807.02149 · pith_short_12: QIZHAWRZQBLV · pith_short_16: QIZHAWRZQBLVVIBG · pith_short_8: QIZHAWRZ

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/QIZHAWRZQBLVVIBGFSCJLJA4LV \
  | 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: 8232705a3980575aa0262c8495a41c5d49fa00e956c08662f0b7e0a7daf348fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ae49a59d44d2cee82d71073dbc10747daa299a3d5fb4466f8e4a625fc55101",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-05T18:47:02Z",
    "title_canon_sha256": "189a961f2fa07224afba8992a732896b7be9e1ea034c1a056d34e54b2d0eb5e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02149",
    "kind": "arxiv",
    "version": 3
  }
}