Pith Number

pith:K3WNOYGT

pith:2019:K3WNOYGT5GRRFR46D3ZUPNN7PW

not attested not anchored not stored refs pending

Closed Unbounded classes and the Haertig Quantifier Model

Philip Welch

arxiv:1903.02663 v1 · 2019-03-06 · 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{K3WNOYGT5GRRFR46D3ZUPNN7PW}

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	2026-05-17T23:51:51.533192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ecd760d3e9a312c79e1ef347b5bf7d824c17940b04f1ab8285e8e271bd44bc

Aliases

arxiv: 1903.02663 · arxiv_version: 1903.02663v1 · doi: 10.48550/arxiv.1903.02663 · pith_short_12: K3WNOYGT5GRR · pith_short_16: K3WNOYGT5GRRFR46 · pith_short_8: K3WNOYGT

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/K3WNOYGT5GRRFR46D3ZUPNN7PW \
  | 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: 56ecd760d3e9a312c79e1ef347b5bf7d824c17940b04f1ab8285e8e271bd44bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8349f9a0534875c9e627ae0039593e297fd0edd8e68736a7f11ec142dfb5372e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-03-06T23:58:48Z",
    "title_canon_sha256": "6f2da9a819f417302425ecc5a8c9b809ea6ed8c32e7af078a97b6cd9df5a218b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02663",
    "kind": "arxiv",
    "version": 1
  }
}