Pith Number

pith:AOL4MWEK

pith:2016:AOL4MWEK6BLWTIN2SSEKB7HOGF

not attested not anchored not stored refs pending

Triangular Ramsey Numbers

Connor Mattes, Jed Menard, Timothy Trujillo, Zachary Chaney

arxiv:1612.00982 v1 · 2016-12-03 · 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{AOL4MWEK6BLWTIN2SSEKB7HOGF}

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	2026-05-18T00:55:53.652453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0397c6588af05769a1ba9488a0fcee317c2cb5b717a32a46bfb6a955d4ad954f

Aliases

arxiv: 1612.00982 · arxiv_version: 1612.00982v1 · doi: 10.48550/arxiv.1612.00982 · pith_short_12: AOL4MWEK6BLW · pith_short_16: AOL4MWEK6BLWTIN2 · pith_short_8: AOL4MWEK

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/AOL4MWEK6BLWTIN2SSEKB7HOGF \
  | 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: 0397c6588af05769a1ba9488a0fcee317c2cb5b717a32a46bfb6a955d4ad954f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad856e1e8cc30e86a66663606ffb25e466d45f4ec54e2a230696e7e35bf60943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-03T16:16:42Z",
    "title_canon_sha256": "34d044d9ff1293393bf5dc42694945d2ef316284fa1fc7283632c934958f163b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00982",
    "kind": "arxiv",
    "version": 1
  }
}