Pith Number

pith:KCA7YWDQ

pith:2013:KCA7YWDQEUOKYLNNLGKTJNUAZL

not attested not anchored not stored refs pending

The Erd\H{o}s-Hajnal conjecture for rainbow triangles

A. Grinshpun, J. Fox, J. Pach

arxiv:1303.2951 v1 · 2013-03-12 · 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{KCA7YWDQEUOKYLNNLGKTJNUAZL}

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	2026-05-18T03:31:07.470984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5081fc5870251cac2dad599534b680caef339335e97b0dc0bbe893b2b3d9f0b2

Aliases

arxiv: 1303.2951 · arxiv_version: 1303.2951v1 · doi: 10.48550/arxiv.1303.2951 · pith_short_12: KCA7YWDQEUOK · pith_short_16: KCA7YWDQEUOKYLNN · pith_short_8: KCA7YWDQ

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/KCA7YWDQEUOKYLNNLGKTJNUAZL \
  | 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: 5081fc5870251cac2dad599534b680caef339335e97b0dc0bbe893b2b3d9f0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7c1cd99fdba48b5a780e748cceef17c8b29ed7a2f2b7886ca65d170f2d84a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-12T16:55:40Z",
    "title_canon_sha256": "9a3632027b79ce8349c4ffe588cd0ae5fbc1f03de6a3ab812394f5054f5dbce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2951",
    "kind": "arxiv",
    "version": 1
  }
}