Pith Number

pith:IGPZVDHX

pith:2010:IGPZVDHXMVP3HYIIVQZOPL4QUJ

not attested not anchored not stored refs pending

Cellularity of diagram algebras as twisted semigroup algebras

Stewart Wilcox

arxiv:1010.1324 v1 · 2010-10-07 · 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{IGPZVDHXMVP3HYIIVQZOPL4QUJ}

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	2026-05-18T04:39:41.407686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419f9a8cf7655fb3e108ac32e7af90a25c113dd7c44c13e14e2c2a9058af2500

Aliases

arxiv: 1010.1324 · arxiv_version: 1010.1324v1 · doi: 10.48550/arxiv.1010.1324 · pith_short_12: IGPZVDHXMVP3 · pith_short_16: IGPZVDHXMVP3HYII · pith_short_8: IGPZVDHX

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/IGPZVDHXMVP3HYIIVQZOPL4QUJ \
  | 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: 419f9a8cf7655fb3e108ac32e7af90a25c113dd7c44c13e14e2c2a9058af2500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "673f267cbe3fe96e503b02a286024e0d9b1740a865e3e17328e8db87378ef170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-07T04:04:15Z",
    "title_canon_sha256": "87a9d53446753fb4b94dfb4e22a3a03bd3bc11406dfb4c20758bd0a585977d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1324",
    "kind": "arxiv",
    "version": 1
  }
}