Pith Number

pith:YMJALBFQ

pith:2022:YMJALBFQARWBVUACE3S6CFI5XW

not attested not anchored not stored refs pending

Graphs without rainbow triangles

Peter Frankl

arxiv:2203.07768 v1 · 2022-03-15 · 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{YMJALBFQARWBVUACE3S6CFI5XW}

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

Transversal Structures in Graph Systems: A Survey

Receipt and verification

First computed	2026-07-05T04:05:22.449051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3120584b0046c1ad00226e5e1151dbda656b6da2814fd56cbb91eec5d41cdb2

Aliases

arxiv: 2203.07768 · arxiv_version: 2203.07768v1 · doi: 10.48550/arxiv.2203.07768 · pith_short_12: YMJALBFQARWB · pith_short_16: YMJALBFQARWBVUAC · pith_short_8: YMJALBFQ

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/YMJALBFQARWBVUACE3S6CFI5XW \
  | 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: c3120584b0046c1ad00226e5e1151dbda656b6da2814fd56cbb91eec5d41cdb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee97b6a4ba9ca14dbb6d3229195c4caba733f0c1828f0a1b5eb29ef6baf71dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-15T10:41:30Z",
    "title_canon_sha256": "39301720572f6d6580a556681efb841c0036bf744a1113bfa9e3fd2b7ab0de21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.07768",
    "kind": "arxiv",
    "version": 1
  }
}