Pith Number

pith:K3FD6WY4

pith:2010:K3FD6WY4AKKJMVWNE7Y2CERVVA

not attested not anchored not stored refs pending

Density Hales-Jewett and Moser numbers

D.H.J. Polymath

arxiv:1002.0374 v2 · 2010-02-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3FD6WY4AKKJMVWNE7Y2CERVVA}

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

2 papers in Pith

Improved Lower Bounds for the Hales-Jewett Numbers via Symmetric Colorings

One-Weight Colorings, the Symmetric Class, and Lower Bounds for Hales--Jewett Numbers

Receipt and verification

First computed	2026-07-04T17:27:16.817738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ca3f5b1c02949656cd27f1a11235a839126c0ed3ac6fd51b339d72f28fcbb7

Aliases

arxiv: 1002.0374 · arxiv_version: 1002.0374v2 · doi: 10.48550/arxiv.1002.0374 · pith_short_12: K3FD6WY4AKKJ · pith_short_16: K3FD6WY4AKKJMVWN · pith_short_8: K3FD6WY4

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/K3FD6WY4AKKJMVWNE7Y2CERVVA \
  | 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: 56ca3f5b1c02949656cd27f1a11235a839126c0ed3ac6fd51b339d72f28fcbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcf82da96ceaa2fe9b11694ca56833ae1f827cfca3df1833db75725ca728bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-02T00:55:11Z",
    "title_canon_sha256": "862bcab0189d577d307c5f3285cad1320e44f82f9f920bef554afb660f48bad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0374",
    "kind": "arxiv",
    "version": 2
  }
}