Pith Number

pith:BZKUXZJP

pith:2017:BZKUXZJPRAVBZAY4TDDB5NVLFY

not attested not anchored not stored refs pending

Congruence lattices of finite diagram monoids

James D. Mitchell, James East, Michael Torpey, Nik Ruskuc

arxiv:1709.00142 v2 · 2017-09-01 · math.GR · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZKUXZJPRAVBZAY4TDDB5NVLFY}

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.

Cited by

1 paper in Pith

Sandwich cellularity and a version of cell theory

Receipt and verification

First computed	2026-05-18T00:15:42.099555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e554be52f882a1c831c98c61eb6ab2e0752fe4386c24d2952d77b272198bb22

Aliases

arxiv: 1709.00142 · arxiv_version: 1709.00142v2 · doi: 10.48550/arxiv.1709.00142 · pith_short_12: BZKUXZJPRAVB · pith_short_16: BZKUXZJPRAVBZAY4 · pith_short_8: BZKUXZJP

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/BZKUXZJPRAVBZAY4TDDB5NVLFY \
  | 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: 0e554be52f882a1c831c98c61eb6ab2e0752fe4386c24d2952d77b272198bb22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c3088dfda3f22d2d8c65704261bea86be61f91ae2f22e932981ee02c59d306",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-01T03:30:15Z",
    "title_canon_sha256": "7cb0e685691ed77743418c2f31a1b81b052e3266eaede6ca4c8bb8f3d56870a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00142",
    "kind": "arxiv",
    "version": 2
  }
}