Pith Number

pith:4UF2X2AA

pith:2012:4UF2X2AAHP5YM3H2KKL5MT32R4

not attested not anchored not stored refs pending

Abstract approach to Ramsey theory and Ramsey theorems for finite trees

Slawomir Solecki

arxiv:1210.0859 v1 · 2012-10-02 · math.CO · 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{4UF2X2AAHP5YM3H2KKL5MT32R4}

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	2026-05-18T03:44:14.086363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50babe8003bfb866cfa5297d64f7a8f3768e54b81aa4303f256c1667b7a2710

Aliases

arxiv: 1210.0859 · arxiv_version: 1210.0859v1 · doi: 10.48550/arxiv.1210.0859 · pith_short_12: 4UF2X2AAHP5Y · pith_short_16: 4UF2X2AAHP5YM3H2 · pith_short_8: 4UF2X2AA

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/4UF2X2AAHP5YM3H2KKL5MT32R4 \
  | 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: e50babe8003bfb866cfa5297d64f7a8f3768e54b81aa4303f256c1667b7a2710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80eb830d3bfb67d2616004c2965f052c7f600159ff38bf69270bf3ca16f4cec6",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-02T17:55:56Z",
    "title_canon_sha256": "a73a1a60802bae6320a05da73c96975e03601178d5b49f5ed37ae1fa74dc6ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0859",
    "kind": "arxiv",
    "version": 1
  }
}