Pith Number

pith:3FO4EJ2W

pith:2018:3FO4EJ2WWSYGEGLDGNPCSALYUI

not attested not anchored not stored refs pending

Bi-Free Extreme Values

Hao-Wei Huang, Jiun-Chau Wang

arxiv:1811.10007 v1 · 2018-11-25 · math.OA · 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{3FO4EJ2WWSYGEGLDGNPCSALYUI}

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	2026-05-17T23:59:58.885229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95dc22756b4b0621963335e290178a2322aba34ff2db8283655985db5001b74

Aliases

arxiv: 1811.10007 · arxiv_version: 1811.10007v1 · doi: 10.48550/arxiv.1811.10007 · pith_short_12: 3FO4EJ2WWSYG · pith_short_16: 3FO4EJ2WWSYGEGLD · pith_short_8: 3FO4EJ2W

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/3FO4EJ2WWSYGEGLDGNPCSALYUI \
  | 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: d95dc22756b4b0621963335e290178a2322aba34ff2db8283655985db5001b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda38a69c28307cd934dc794ede993963fb8b44393e23712a3f291537cf0d0b6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-11-25T13:27:47Z",
    "title_canon_sha256": "d0bd833f9daeaa6b407d8d37074e7ae7bc72b5cb4ff53c47a79788c35acdb0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10007",
    "kind": "arxiv",
    "version": 1
  }
}