Pith Number

pith:2DKBGPUX

pith:2019:2DKBGPUXHIU5ABILQ5GPDZX74U

not attested not anchored not stored refs pending

The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture

Paul Larson, Saharon Shelah

arxiv:1903.09753 v1 · 2019-03-23 · 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{2DKBGPUXHIU5ABILQ5GPDZX74U}

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	2026-05-17T23:50:35.596047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d4133e973a29d0050b874cf1e6ffe517e41f08a544ade9027f192345f84fa5

Aliases

arxiv: 1903.09753 · arxiv_version: 1903.09753v1 · doi: 10.48550/arxiv.1903.09753 · pith_short_12: 2DKBGPUXHIU5 · pith_short_16: 2DKBGPUXHIU5ABIL · pith_short_8: 2DKBGPUX

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/2DKBGPUXHIU5ABILQ5GPDZX74U \
  | 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: d0d4133e973a29d0050b874cf1e6ffe517e41f08a544ade9027f192345f84fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a61eb4ca8a4b5a327b4c1b794979de72b0dd865b34361018a10b4ca67cc057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-03-23T03:33:53Z",
    "title_canon_sha256": "b527a6c7f6ca6beae4029006e15d430006cc6628545119b1500b6e27bcaf37ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09753",
    "kind": "arxiv",
    "version": 1
  }
}