Pith Number

pith:CQAXQD6F

pith:2016:CQAXQD6F6IWOZVGOCQ644IYQQX

not attested not anchored not stored refs pending

Dimensionality determination: a thresholding double ridge ratio criterion

Lixing Zhu, Tao Wang, Xuehu Zhu

arxiv:1608.04457 v1 · 2016-08-16 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQAXQD6F6IWOZVGOCQ644IYQQX}

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	2026-05-18T01:08:37.223554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1401780fc5f22cecd4ce143dce231085e3ce6350befaa83007ff62875fc090a1

Aliases

arxiv: 1608.04457 · arxiv_version: 1608.04457v1 · doi: 10.48550/arxiv.1608.04457 · pith_short_12: CQAXQD6F6IWO · pith_short_16: CQAXQD6F6IWOZVGO · pith_short_8: CQAXQD6F

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/CQAXQD6F6IWOZVGOCQ644IYQQX \
  | 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: 1401780fc5f22cecd4ce143dce231085e3ce6350befaa83007ff62875fc090a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1580814825163567e4bce1e32480a79177754771038f47a0139b8136fc0de708",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-08-16T01:42:58Z",
    "title_canon_sha256": "f4e44a7884ee83d2cb7f1486ba70dd473866ddbd5952c33868c4f0da4f612bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04457",
    "kind": "arxiv",
    "version": 1
  }
}