Pith Number

pith:5ZHDGCFN

pith:2020:5ZHDGCFNDEXM2QWS6TFFBF4YAA

not attested not anchored not stored refs pending

Random Van der Waerden Theorem

Ohad Zohar

arxiv:2006.05412 v2 · 2020-06-09 · 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{5ZHDGCFNDEXM2QWS6TFFBF4YAA}

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	2026-07-05T02:56:53.130591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4e3308ad192ecd42d2f4ca50979800104bf3bac10d458bb368364172e2b830

Aliases

arxiv: 2006.05412 · arxiv_version: 2006.05412v2 · doi: 10.48550/arxiv.2006.05412 · pith_short_12: 5ZHDGCFNDEXM · pith_short_16: 5ZHDGCFNDEXM2QWS · pith_short_8: 5ZHDGCFN

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/5ZHDGCFNDEXM2QWS6TFFBF4YAA \
  | 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: ee4e3308ad192ecd42d2f4ca50979800104bf3bac10d458bb368364172e2b830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d480d7b4398cce41c34bbdf849a16957aeaec56091923a1458e7469135cce8d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-09T17:21:26Z",
    "title_canon_sha256": "e717015561fca7cf7565453c2341c023eda3596226cb3331b845b90c29733454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05412",
    "kind": "arxiv",
    "version": 2
  }
}