Pith Number

pith:XJC4XNTW

pith:2017:XJC4XNTW3RMYFLPKJTXFHDPUZW

not attested not anchored not stored refs pending

Model-theoretic Characterizations of Large Cardinals

Will Boney

arxiv:1708.07561 v3 · 2017-08-24 · 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{XJC4XNTW3RMYFLPKJTXFHDPUZW}

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	2026-05-17T23:51:09.849210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba45cbb676dc5982adea4cee538df4cda316e77a9d5dd6c0e43476db05d7b977

Aliases

arxiv: 1708.07561 · arxiv_version: 1708.07561v3 · doi: 10.48550/arxiv.1708.07561 · pith_short_12: XJC4XNTW3RMY · pith_short_16: XJC4XNTW3RMYFLPK · pith_short_8: XJC4XNTW

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/XJC4XNTW3RMYFLPKJTXFHDPUZW \
  | 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: ba45cbb676dc5982adea4cee538df4cda316e77a9d5dd6c0e43476db05d7b977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12f77a93e73330ac6d181ccf69f21025c6032b0796461ed34463ba2f86df969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-24T21:29:57Z",
    "title_canon_sha256": "637dd36424ae8390ce9df4f85caaa234036ea1f1025af3f0f668993724771414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07561",
    "kind": "arxiv",
    "version": 3
  }
}