Pith Number

pith:MRNUD3WM

pith:2016:MRNUD3WMF27R46QDGUK2HJMRBO

not attested not anchored not stored refs pending

Superstability from categoricity in abstract elementary classes

Monica M. VanDieren, Rami Grossberg, Sebastien Vasey, Will Boney

arxiv:1609.07101 v3 · 2016-09-22 · 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{MRNUD3WMF27R46QDGUK2HJMRBO}

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	2026-05-18T00:45:48.354689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645b41eecc2ebf1e7a033515a3a5910ba5823a9a0a6cfbbf97572fa092b61ee6

Aliases

arxiv: 1609.07101 · arxiv_version: 1609.07101v3 · doi: 10.48550/arxiv.1609.07101 · pith_short_12: MRNUD3WMF27R · pith_short_16: MRNUD3WMF27R46QD · pith_short_8: MRNUD3WM

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/MRNUD3WMF27R46QDGUK2HJMRBO \
  | 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: 645b41eecc2ebf1e7a033515a3a5910ba5823a9a0a6cfbbf97572fa092b61ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77acbcb68296c2dd56482ecf85051cce4b0711e470411680ef6ceef45f097911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-22T18:36:56Z",
    "title_canon_sha256": "0a9a77e05f4cb420882c15b037e3567005946217c6a306f2c8a9bf9a296ee16f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07101",
    "kind": "arxiv",
    "version": 3
  }
}