Pith Number

pith:6CSTHE6H

pith:2018:6CSTHE6HFS6VYA2KNCDVTS6WPL

not attested not anchored not stored refs pending

Rainbow triangles and cliques in edge-colored graphs

Elena Mohr, Stefan Ehard

arxiv:1810.04980 v1 · 2018-10-11 · 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{6CSTHE6HFS6VYA2KNCDVTS6WPL}

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	2026-05-18T00:03:35.357331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a53393c72cbd5c034a688759cbd67ad3d29082779234a2d344da25d7b2dfc0

Aliases

arxiv: 1810.04980 · arxiv_version: 1810.04980v1 · doi: 10.48550/arxiv.1810.04980 · pith_short_12: 6CSTHE6HFS6V · pith_short_16: 6CSTHE6HFS6VYA2K · pith_short_8: 6CSTHE6H

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/6CSTHE6HFS6VYA2KNCDVTS6WPL \
  | 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: f0a53393c72cbd5c034a688759cbd67ad3d29082779234a2d344da25d7b2dfc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b62ff27cd8cdfa0cbf3f325b069452a8b33f288d42517d5674ab38d8511043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-11T12:31:48Z",
    "title_canon_sha256": "12b10a264d5d9532b01e2f33bd5491f4872325f7c2b84562a3fb6c9693ac7c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04980",
    "kind": "arxiv",
    "version": 1
  }
}