Pith Number

pith:6POJCRFJ

pith:2014:6POJCRFJ32VH2P6KDBVKFE7FWW

not attested not anchored not stored refs pending

All known prime Erd\H{o}s-Hajnal tournaments satisfy $\epsilon(H) = \Omega(\frac{1}{|H|^{5}\log(|H|)})$

Krzysztof Choromanski

arxiv:1410.7046 v1 · 2014-10-26 · 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{6POJCRFJ32VH2P6KDBVKFE7FWW}

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	2026-05-18T02:39:18.113649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3dc9144a9deaa7d3fca186aa293e5b59c0a153618a5dd929523b75a9bb974e1

Aliases

arxiv: 1410.7046 · arxiv_version: 1410.7046v1 · doi: 10.48550/arxiv.1410.7046 · pith_short_12: 6POJCRFJ32VH · pith_short_16: 6POJCRFJ32VH2P6K · pith_short_8: 6POJCRFJ

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/6POJCRFJ32VH2P6KDBVKFE7FWW \
  | 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: f3dc9144a9deaa7d3fca186aa293e5b59c0a153618a5dd929523b75a9bb974e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ccd4f931985261a28429713811084323b6ac59536209392795b3b86a860811",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-26T15:29:29Z",
    "title_canon_sha256": "955fe9088d324ba9474519498a070e3b620d4e7424a8a8b5bc450c801df9490d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7046",
    "kind": "arxiv",
    "version": 1
  }
}