Pith Number

pith:WVGZLE5J

pith:2019:WVGZLE5JASENXJ5L6A5AA72RRG

not attested not anchored not stored refs pending

Ky Fan inequalities for bivariate means

Alfred Witkowski

arxiv:1901.00337 v2 · 2019-01-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVGZLE5JASENXJ5L6A5AA72RRG}

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	2026-05-17T23:52:15.006927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b54d9593a90488dba7abf03a007f5189a4b32d82ddbdd2bb2179a9ecc7c9b2b9

Aliases

arxiv: 1901.00337 · arxiv_version: 1901.00337v2 · doi: 10.48550/arxiv.1901.00337 · pith_short_12: WVGZLE5JASEN · pith_short_16: WVGZLE5JASENXJ5L · pith_short_8: WVGZLE5J

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/WVGZLE5JASENXJ5L6A5AA72RRG \
  | 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: b54d9593a90488dba7abf03a007f5189a4b32d82ddbdd2bb2179a9ecc7c9b2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc044044288e5241d18c13d1bb5eaa4e1e1890e6a236fae3d0052660998a8c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-02T12:26:41Z",
    "title_canon_sha256": "244fffdc132be6edb3e172487c697cff9bc18babb8150152e13e9bba383aff7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00337",
    "kind": "arxiv",
    "version": 2
  }
}