Pith Number

pith:FBU2GZJ3

pith:2015:FBU2GZJ33CNIGNTBS2XRBPAIXL

not attested not anchored not stored refs pending

The finite representation property for composition, intersection, domain and range

Brett McLean, Szabolcs Mikul\'as

arxiv:1503.02627 v2 · 2015-03-09 · math.RA · cs.LO · 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{FBU2GZJ33CNIGNTBS2XRBPAIXL}

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	2026-05-18T00:39:13.927952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2869a3653bd89a83366196af10bc08badfabb6488df9ff181610da070c0a7072

Aliases

arxiv: 1503.02627 · arxiv_version: 1503.02627v2 · doi: 10.48550/arxiv.1503.02627 · pith_short_12: FBU2GZJ33CNI · pith_short_16: FBU2GZJ33CNIGNTB · pith_short_8: FBU2GZJ3

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/FBU2GZJ33CNIGNTBS2XRBPAIXL \
  | 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: 2869a3653bd89a83366196af10bc08badfabb6488df9ff181610da070c0a7072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21447375b9885add7ca926922ad36a7686a99446df6944cffd4b5384ab5ea0f",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-09T19:20:20Z",
    "title_canon_sha256": "222ddfcce5237e44bcf7dc8833e3d20a01fdf111fea599ad6355c57a2b81f505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02627",
    "kind": "arxiv",
    "version": 2
  }
}