Pith Number

pith:23CTWRJS

pith:2019:23CTWRJSFBKBREY2K5YE7GPRJC

not attested not anchored not stored refs pending

On edge-ordered Ramsey numbers

Jacob Fox, Ray Li

arxiv:1906.08234 v2 · 2019-06-19 · 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{23CTWRJSFBKBREY2K5YE7GPRJC}

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	2026-07-04T23:58:57.907770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c53b4532285418931a57704f99f148a41c1948396dc1330978390d070a5f20

Aliases

arxiv: 1906.08234 · arxiv_version: 1906.08234v2 · doi: 10.48550/arxiv.1906.08234 · pith_short_12: 23CTWRJSFBKB · pith_short_16: 23CTWRJSFBKBREY2 · pith_short_8: 23CTWRJS

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/23CTWRJSFBKBREY2K5YE7GPRJC \
  | 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: d6c53b4532285418931a57704f99f148a41c1948396dc1330978390d070a5f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9f63c8b9c8b0cd1c0c84f195bf21f28fa1451e438da4928421447b5421c3a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-19T17:34:10Z",
    "title_canon_sha256": "a37ae02522992434bfda8a97409f5cb9b02b6d012d2d47e6d278284deda41eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08234",
    "kind": "arxiv",
    "version": 2
  }
}