Pith Number

pith:Z4NQRDAJ

pith:2019:Z4NQRDAJQ6REJF2YBUI5F5CDIB

not attested not anchored not stored refs pending

Uncountable dichromatic number without short directed cycles

Attila Jo\'o

arxiv:1905.00782 v3 · 2019-05-02 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4NQRDAJQ6REJF2YBUI5F5CDIB}

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

On the growth rate of dichromatic numbers of finite subdigraphs

Receipt and verification

First computed	2026-07-05T06:20:32.350833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1b088c0987a24497580d11d2f4434071bd10aa555155692d646698776542c2

Aliases

arxiv: 1905.00782 · arxiv_version: 1905.00782v3 · doi: 10.48550/arxiv.1905.00782 · pith_short_12: Z4NQRDAJQ6RE · pith_short_16: Z4NQRDAJQ6REJF2Y · pith_short_8: Z4NQRDAJ

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/Z4NQRDAJQ6REJF2YBUI5F5CDIB \
  | 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: cf1b088c0987a24497580d11d2f4434071bd10aa555155692d646698776542c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071db961c122def514cdf19a37d449544b9ee32f4a35759da18788cd9983894a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-02T14:46:37Z",
    "title_canon_sha256": "e86f8b4416a6cd6d90b64845ec33195195e42e1a1c89ff45e98bc52c86389021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00782",
    "kind": "arxiv",
    "version": 3
  }
}