Pith Number

pith:ZJRCRXZL

pith:2014:ZJRCRXZLV3TJCJWKE5OVJQR34W

not attested not anchored not stored refs pending

On VC-density in VC-minimal theories

Vincent Guingona

arxiv:1409.8060 v1 · 2014-09-29 · 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{ZJRCRXZLV3TJCJWKE5OVJQR34W}

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	2026-05-18T02:41:33.752996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6228df2baee69126ca275d54c23be59e7cde6a27c92781b88897fe71ae4301

Aliases

arxiv: 1409.8060 · arxiv_version: 1409.8060v1 · doi: 10.48550/arxiv.1409.8060 · pith_short_12: ZJRCRXZLV3TJ · pith_short_16: ZJRCRXZLV3TJCJWK · pith_short_8: ZJRCRXZL

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/ZJRCRXZLV3TJCJWKE5OVJQR34W \
  | 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: ca6228df2baee69126ca275d54c23be59e7cde6a27c92781b88897fe71ae4301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8602fc827ff79c190b2da9c48d46535ec991130ac64f5b3a2b3058707b2d9ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-09-29T10:29:56Z",
    "title_canon_sha256": "c18124fbfd53b51cc158b020908e5e082059824325994f82c38efafa17868131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8060",
    "kind": "arxiv",
    "version": 1
  }
}