Pith Number

pith:JKX7WL7Y

pith:2012:JKX7WL7YKLHYEVPOMO5IRRNK5J

not attested not anchored not stored refs pending

Characterizing model completeness among mutually algebraic structures

Michael C. Laskowski

arxiv:1206.6032 v2 · 2012-06-26 · 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{JKX7WL7YKLHYEVPOMO5IRRNK5J}

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	2026-05-18T01:21:05.747110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aaffb2ff852cf8255ee63ba88c5aaea55febf50f3bc03d50d1847fcaa073e70

Aliases

arxiv: 1206.6032 · arxiv_version: 1206.6032v2 · doi: 10.48550/arxiv.1206.6032 · pith_short_12: JKX7WL7YKLHY · pith_short_16: JKX7WL7YKLHYEVPO · pith_short_8: JKX7WL7Y

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/JKX7WL7YKLHYEVPOMO5IRRNK5J \
  | 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: 4aaffb2ff852cf8255ee63ba88c5aaea55febf50f3bc03d50d1847fcaa073e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627c23c57e10ea7ddefd1f8ebfccc09c95149ef6a5fca76ed476526679158412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-26T16:00:58Z",
    "title_canon_sha256": "6277642545b9a8eed5c2fd4df186c1e7ca673b740bb81fa3e4da970ede3a4c93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6032",
    "kind": "arxiv",
    "version": 2
  }
}