Pith Number

pith:27P55XIP

pith:2004:27P55XIPKEUYQSJ3ESAIKDZ3EG

not attested not anchored not stored refs pending

Van der Waerden's Theorem on Homothetic copies of {1,1+s, 1+s+t}

B.M. Kim, Y. Rho

arxiv:math/0410382 v2 · 2004-10-18 · 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{27P55XIPKEUYQSJ3ESAIKDZ3EG}

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

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

Receipt and verification

First computed	2026-07-04T14:39:10.960643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dfdedd0f512988493b2480850f3b21a0c7dd5c4931adaf30c212ab6a680942

Aliases

arxiv: math/0410382 · arxiv_version: math/0410382v2 · doi: 10.48550/arxiv.math/0410382 · pith_short_12: 27P55XIPKEUY · pith_short_16: 27P55XIPKEUYQSJ3 · pith_short_8: 27P55XIP

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/27P55XIPKEUYQSJ3ESAIKDZ3EG \
  | 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: d7dfdedd0f512988493b2480850f3b21a0c7dd5c4931adaf30c212ab6a680942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1030ee2b38d3ff2cc77ee876ea869588872ac3d20bdbc59d12474e5e151c78",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-10-18T06:17:16Z",
    "title_canon_sha256": "bdfdd2408b7d8bebdc8358262f2a5b373e108deab5d5ada43e512774006340b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410382",
    "kind": "arxiv",
    "version": 2
  }
}