Pith Number

pith:IXWVQGZK

pith:2015:IXWVQGZKKWKRMOL3B6M7GZQYMH

not attested not anchored not stored refs pending

Enumeration of idempotents in planar diagram monoids

Athanasios Evangelou, Desmond Fitzgerald, Igor Dolinka, James East, James Hyde, James Mitchell, Nicholas Ham, Nicholas Loughlin

arxiv:1507.04838 v3 · 2015-07-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXWVQGZKKWKRMOL3B6M7GZQYMH}

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	2026-05-18T00:08:27.428788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ed581b2a559516397b0f99f3661861e69bb5a08acf2bb46afc4830f2ab2c24

Aliases

arxiv: 1507.04838 · arxiv_version: 1507.04838v3 · doi: 10.48550/arxiv.1507.04838 · pith_short_12: IXWVQGZKKWKR · pith_short_16: IXWVQGZKKWKRMOL3 · pith_short_8: IXWVQGZK

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/IXWVQGZKKWKRMOL3B6M7GZQYMH \
  | 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: 45ed581b2a559516397b0f99f3661861e69bb5a08acf2bb46afc4830f2ab2c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eee6febe4aedd5c6878448c3b27bae97789e32598f44bf0de48f151121963c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T05:38:06Z",
    "title_canon_sha256": "30b85f5d3f6214ad977919140f35d6f6cb448442d3382f7c6d603d8654c99e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04838",
    "kind": "arxiv",
    "version": 3
  }
}