Pith Number

pith:T4HUFCZ3

pith:2005:T4HUFCZ33PMLWKNSNKDVJ64TTF

not attested not anchored not stored refs pending

Universal graphs with a forbidden subtree

Gregory Cherlin, Saharon Shelah

arxiv:math/0512218 v1 · 2005-12-10 · math.LO · 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{T4HUFCZ33PMLWKNSNKDVJ64TTF}

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.

Cited by

1 paper in Pith

Smaller universal posets

Receipt and verification

First computed	2026-07-04T14:52:14.002890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0f428b3bdbd8bb29b26a8754fb93995171122c76754c20dd9ec946b0551850

Aliases

arxiv: math/0512218 · arxiv_version: math/0512218v1 · doi: 10.48550/arxiv.math/0512218 · pith_short_12: T4HUFCZ33PML · pith_short_16: T4HUFCZ33PMLWKNS · pith_short_8: T4HUFCZ3

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/T4HUFCZ33PMLWKNSNKDVJ64TTF \
  | 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: 9f0f428b3bdbd8bb29b26a8754fb93995171122c76754c20dd9ec946b0551850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2489dfe03840ca06a7600ea4615e81c67160ed3fa84c5271a78446e1cb9942a3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2005-12-10T22:06:40Z",
    "title_canon_sha256": "fff8d9cac133c9b479d09d6fb19cfba63a4bc4e9a815842d29fcffdb27e36c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512218",
    "kind": "arxiv",
    "version": 1
  }
}