Pith Number

pith:U4QGJRMZ

pith:2012:U4QGJRMZTX7UBG64CSDDJ43YHR

not attested not anchored not stored refs pending

An additive version of Ramsey's theorem

Andy Parrish

arxiv:1202.2582 v2 · 2012-02-12 · 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{U4QGJRMZTX7UBG64CSDDJ43YHR}

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	2026-05-18T04:01:12.810365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72064c5999dff409bdc148634f3783c44f0b688f9185f12964e3088f7d57186

Aliases

arxiv: 1202.2582 · arxiv_version: 1202.2582v2 · doi: 10.48550/arxiv.1202.2582 · pith_short_12: U4QGJRMZTX7U · pith_short_16: U4QGJRMZTX7UBG64 · pith_short_8: U4QGJRMZ

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/U4QGJRMZTX7UBG64CSDDJ43YHR \
  | 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: a72064c5999dff409bdc148634f3783c44f0b688f9185f12964e3088f7d57186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d133a03005eb3845c89f8c0934033d09dc95dcf2d0814bcd9812b17ceb83ecdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-12T22:54:58Z",
    "title_canon_sha256": "b8ffd1ca3f64946b6aa4c7dfd1c5284e2d8908b71452a75386104e1032fa40ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2582",
    "kind": "arxiv",
    "version": 2
  }
}