Pith Number

pith:YVGGJOSL

pith:2017:YVGGJOSLSY727O7OL5PTNLEOZZ

not attested not anchored not stored refs pending

On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras

Erik B\'edos, Jack Spielberg, John Quigg, S. Kaliszewski

arxiv:1712.09432 v2 · 2017-12-26 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVGGJOSLSY727O7OL5PTNLEOZZ}

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	2026-05-17T23:56:30.083393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54c64ba4b963fafbbee5f5f36ac8ece50e2c5901331bdcf01ddda30487b68f3

Aliases

arxiv: 1712.09432 · arxiv_version: 1712.09432v2 · doi: 10.48550/arxiv.1712.09432 · pith_short_12: YVGGJOSLSY72 · pith_short_16: YVGGJOSLSY727O7O · pith_short_8: YVGGJOSL

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/YVGGJOSLSY727O7OL5PTNLEOZZ \
  | 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: c54c64ba4b963fafbbee5f5f36ac8ece50e2c5901331bdcf01ddda30487b68f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42aec089421b048e37f0bcee817de3ca6116b38e6a7ff023991b8b9025e0b024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-26T21:51:05Z",
    "title_canon_sha256": "d54659800622e9549f35653b46a87f4d0ff8c5b1dde44c4fc36818aa82de469e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09432",
    "kind": "arxiv",
    "version": 2
  }
}