Pith Number

pith:I4K4NYB3

pith:2016:I4K4NYB3QRWSAUZENVIOQT7NDH

not attested not anchored not stored refs pending

The proof-theoretic strength of Ramsey's theorem for pairs and two colors

Keita Yokoyama, Ludovic Patey

arxiv:1601.00050 v4 · 2016-01-01 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4K4NYB3QRWSAUZENVIOQT7NDH}

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	2026-05-18T00:20:49.446676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4715c6e03b846d2053246d50e84fed19cd926aad21700d42c99e0f71dc59d74d

Aliases

arxiv: 1601.00050 · arxiv_version: 1601.00050v4 · doi: 10.48550/arxiv.1601.00050 · pith_short_12: I4K4NYB3QRWS · pith_short_16: I4K4NYB3QRWSAUZE · pith_short_8: I4K4NYB3

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/I4K4NYB3QRWSAUZENVIOQT7NDH \
  | 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: 4715c6e03b846d2053246d50e84fed19cd926aad21700d42c99e0f71dc59d74d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb24eb96e844ef331a80436ba8a0e79b4d8d709d6a01e4ae6be79c06250dd12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-01T04:50:58Z",
    "title_canon_sha256": "2f6d23d658257555796f49079a745e048c8bd40271ac9588896802cb4b555394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00050",
    "kind": "arxiv",
    "version": 4
  }
}