Pith Number

pith:5MII6IZ2

pith:2007:5MII6IZ2FNCVRX3FO6IBS2GLHE

not attested not anchored not stored refs pending

On Quasiminimal Excellent Classes

Jonathan Kirby

arxiv:0707.4496 v3 · 2007-07-30 · 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{5MII6IZ2FNCVRX3FO6IBS2GLHE}

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	2026-05-18T04:16:13.173518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb108f233a2b4558df6577901968cb39054d75c2543f93834378c77faa24e319

Aliases

arxiv: 0707.4496 · arxiv_version: 0707.4496v3 · doi: 10.48550/arxiv.0707.4496 · pith_short_12: 5MII6IZ2FNCV · pith_short_16: 5MII6IZ2FNCVRX3F · pith_short_8: 5MII6IZ2

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/5MII6IZ2FNCVRX3FO6IBS2GLHE \
  | 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: eb108f233a2b4558df6577901968cb39054d75c2543f93834378c77faa24e319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0fffb15b16ef00dec0fa4ac2f092e235ae0c55d60c61db7d6edb0697cdbdf0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2007-07-30T22:39:25Z",
    "title_canon_sha256": "96d328d838c37580219c4812f076b2a0dc6dff6d14dcc1f447d44e50d37db174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4496",
    "kind": "arxiv",
    "version": 3
  }
}