Pith Number

pith:YXKDIVGX

pith:2026:YXKDIVGXSDFES3CDAI5AMHCNR7

not attested not anchored not stored refs pending

Artin monoids, their homomorphisms and twins

Arkady Berenstein, Jacob Greenstein, Jian-Rong Li

arxiv:2606.26776 v1 · 2026-06-25 · math.QA · 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{YXKDIVGXSDFES3CDAI5AMHCNR7}

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	2026-06-26T01:15:59.436782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d43454d790ca496c43023a061c4d8febe27e903a51134091450bcb72de132e

Aliases

arxiv: 2606.26776 · arxiv_version: 2606.26776v1 · doi: 10.48550/arxiv.2606.26776 · pith_short_12: YXKDIVGXSDFE · pith_short_16: YXKDIVGXSDFES3CD · pith_short_8: YXKDIVGX

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/YXKDIVGXSDFES3CDAI5AMHCNR7 \
  | 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: c5d43454d790ca496c43023a061c4d8febe27e903a51134091450bcb72de132e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b219f8777c57befb8a274ab0e4d41f6425193611fe959f69ce18c2cfc63245b",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-06-25T09:06:18Z",
    "title_canon_sha256": "f38b1d43099aa57c16fda1131d6309d8e5dd79aafa6fa77f5367b67fcd59dc60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26776",
    "kind": "arxiv",
    "version": 1
  }
}