Pith Number

pith:B2PTRXHV

pith:2014:B2PTRXHVPBCFGJSUC662UQGTGF

not attested not anchored not stored refs pending

Enumeration of idempotents in diagram semigroups and algebras

Athanasios Evangelou, Des FitzGerald, Igor Dolinka, James East, James Hyde, Nicholas Ham, Nicholas Loughlin

arxiv:1408.2021 v2 · 2014-08-09 · math.GR · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2PTRXHVPBCFGJSUC662UQGTGF}

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	2026-05-18T00:28:07.565331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e9f38dcf5784453265417bdaa40d3314d1a8d86b3065e6848196f401c9f907c

Aliases

arxiv: 1408.2021 · arxiv_version: 1408.2021v2 · doi: 10.48550/arxiv.1408.2021 · pith_short_12: B2PTRXHVPBCF · pith_short_16: B2PTRXHVPBCFGJSU · pith_short_8: B2PTRXHV

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/B2PTRXHVPBCFGJSUC662UQGTGF \
  | 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: 0e9f38dcf5784453265417bdaa40d3314d1a8d86b3065e6848196f401c9f907c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82af278e5f402605e981383121df832c663de03453f4ba87922536d04d498b4b",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-09T04:47:43Z",
    "title_canon_sha256": "25e18237a4068c2cab9a04ac8a6f57653f814e4e81b8e35722b4fec392a969d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2021",
    "kind": "arxiv",
    "version": 2
  }
}