Pith Number

pith:DBYREAJY

pith:2013:DBYREAJYGMBH4NLSUGQPCQE6RT

not attested not anchored not stored refs pending

The triangle-free process and the Ramsey number $R(3,k)$

Gonzalo Fiz Pontiveros, Robert Morris, Simon Griffiths

arxiv:1302.6279 v2 · 2013-02-25 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBYREAJYGMBH4NLSUGQPCQE6RT}

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	2026-05-18T00:20:18.166551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187112013833027e3572a1a0f1409e8cc95ead05c6dc4039e8205399f3fda9a0

Aliases

arxiv: 1302.6279 · arxiv_version: 1302.6279v2 · doi: 10.48550/arxiv.1302.6279 · pith_short_12: DBYREAJYGMBH · pith_short_16: DBYREAJYGMBH4NLS · pith_short_8: DBYREAJY

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/DBYREAJYGMBH4NLSUGQPCQE6RT \
  | 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: 187112013833027e3572a1a0f1409e8cc95ead05c6dc4039e8205399f3fda9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac990782be353e4749b36bc31f48c3325d4948195fa99abcc08ccf60c5f8462c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-25T23:42:49Z",
    "title_canon_sha256": "6031b711495495c5ba2364057caa65076b89485625d4d1b8e09c6fdee4682647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6279",
    "kind": "arxiv",
    "version": 2
  }
}