Pith Number

pith:HZ6AOATA

pith:1998:HZ6AOATA2BPLXA67A22ZIAPSDX

not attested not anchored not stored refs pending

Universal graphs with forbidden subgraphs and algebraic closure

Gregory Cherlin, Niandong Shi, Saharon Shelah

arxiv:math/9809202 v1 · 1998-09-15 · 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{HZ6AOATA2BPLXA67A22ZIAPSDX}

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	2026-05-18T01:05:33.681873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7c070260d05ebb83df06b59401f21dd064084c00a2c89578e4d790a542b72c

Aliases

arxiv: math/9809202 · arxiv_version: math/9809202v1 · doi: 10.48550/arxiv.math/9809202 · pith_short_12: HZ6AOATA2BPL · pith_short_16: HZ6AOATA2BPLXA67 · pith_short_8: HZ6AOATA

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/HZ6AOATA2BPLXA67A22ZIAPSDX \
  | 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: 3e7c070260d05ebb83df06b59401f21dd064084c00a2c89578e4d790a542b72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb94438e4ee9bcac51500df869fd074ed50cb642572566df8c56a3094ed05e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-09-15T00:00:00Z",
    "title_canon_sha256": "6cfa8e21cd034860ad84baa22956b8a482a840fa60dd65311aece8b1af9816f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809202",
    "kind": "arxiv",
    "version": 1
  }
}