Pith Number

pith:V57NNJV4

pith:2021:V57NNJV44KIUSNET37BB3ZPAUQ

not attested not anchored not stored refs pending

A blurred view of Van der Waerden type theorems

Marcelo Sales, Vojtech R\"odl

arxiv:2102.04651 v2 · 2021-02-09 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V57NNJV44KIUSNET37BB3ZPAUQ}

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	2026-07-05T03:13:48.949783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7ed6a6bce291493493dfc21de5e0a40f589cc41aca6840108e0563e5657b1e

Aliases

arxiv: 2102.04651 · arxiv_version: 2102.04651v2 · doi: 10.48550/arxiv.2102.04651 · pith_short_12: V57NNJV44KIU · pith_short_16: V57NNJV44KIUSNET · pith_short_8: V57NNJV4

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/V57NNJV44KIUSNET37BB3ZPAUQ \
  | 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: af7ed6a6bce291493493dfc21de5e0a40f589cc41aca6840108e0563e5657b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453f575c884d870065f0a6577595fef9013c7f01bfc47836bf079d8b68c2afd5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-09T05:16:37Z",
    "title_canon_sha256": "f8a669acc160bfbc8efb9c704f2e7845d076da5826ad0f7029f5e81061f55ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04651",
    "kind": "arxiv",
    "version": 2
  }
}