Pith Number

pith:JAX3PFN6

pith:2017:JAX3PFN6D2WWEO74IMW5K7XRXH

not attested not anchored not stored refs pending

Minimal Ordered Ramsey Graphs

Jonathan Rollin

arxiv:1712.09034 v1 · 2017-12-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAX3PFN6D2WWEO74IMW5K7XRXH}

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	2026-05-18T00:27:14.576638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482fb795be1ead623bfc432dd57ef1b9dc1ff8a6587a90526a713e12d382a008

Aliases

arxiv: 1712.09034 · arxiv_version: 1712.09034v1 · doi: 10.48550/arxiv.1712.09034 · pith_short_12: JAX3PFN6D2WW · pith_short_16: JAX3PFN6D2WWEO74 · pith_short_8: JAX3PFN6

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/JAX3PFN6D2WWEO74IMW5K7XRXH \
  | 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: 482fb795be1ead623bfc432dd57ef1b9dc1ff8a6587a90526a713e12d382a008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1de4d62d6181e9fbbf5e72b86f81c84fac2c0a2d1a4c015112f5e5746b9b9b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-25T07:57:34Z",
    "title_canon_sha256": "cdcc47b5f25abf84154526ecfe066e5ce2f80a8f4681d025d4c8d4f73994c3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09034",
    "kind": "arxiv",
    "version": 1
  }
}