Pith Number

pith:WTUJYHBU

pith:2016:WTUJYHBU522MJDX765GVZQE47T

not attested not anchored not stored refs pending

The Erd\H{o}s-Rothschild problem on edge-colourings with forbidden monochromatic cliques

Katherine Staden, Oleg Pikhurko, Zelealem B. Yilma

arxiv:1605.05074 v2 · 2016-05-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTUJYHBU522MJDX765GVZQE47T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:33:23.695447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e89c1c34eeb4c48efff74d5cc09cfcc5d49d14581255c2136ec1826c5c60ba

Aliases

arxiv: 1605.05074 · arxiv_version: 1605.05074v2 · doi: 10.48550/arxiv.1605.05074 · pith_short_12: WTUJYHBU522M · pith_short_16: WTUJYHBU522MJDX7 · pith_short_8: WTUJYHBU

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/WTUJYHBU522MJDX765GVZQE47T \
  | 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: b4e89c1c34eeb4c48efff74d5cc09cfcc5d49d14581255c2136ec1826c5c60ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b4efd358501cb01347091c4aeafff254c7d954497eb5f5933eae903704a217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-17T09:40:00Z",
    "title_canon_sha256": "78518252d5b6905453729e196b21fa8a80d8ecd8e1dd62306049f9deabad46d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05074",
    "kind": "arxiv",
    "version": 2
  }
}