Pith Number

pith:YBZ4KB6P

pith:2024:YBZ4KB6P2BHHZCUTYWOD7DMAQV

not attested not anchored not stored refs pending

Random permutation matrix models for graph products

Ben Hayes, Brent Nelson, David Jekel, Ian Charlesworth, Rolando de Santiago, Srivatsav Kunnawalkam Elayavalli

arxiv:2404.07350 v2 · 2024-04-10 · math.OA · math.CO · math.FA · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBZ4KB6P2BHHZCUTYWOD7DMAQV}

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

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications

Receipt and verification

First computed	2026-07-05T09:11:47.031753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c073c507cfd04e7c8a93c59c3f8d808579cbae989de232cd5159de022db84821

Aliases

arxiv: 2404.07350 · arxiv_version: 2404.07350v2 · doi: 10.48550/arxiv.2404.07350 · pith_short_12: YBZ4KB6P2BHH · pith_short_16: YBZ4KB6P2BHHZCUT · pith_short_8: YBZ4KB6P

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/YBZ4KB6P2BHHZCUTYWOD7DMAQV \
  | 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: c073c507cfd04e7c8a93c59c3f8d808579cbae989de232cd5159de022db84821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfa40db2ccb533d09f9637e4076676cef87c2c30655d7b8ef086ee5aaff85e7",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA",
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-04-10T21:10:22Z",
    "title_canon_sha256": "cf8163734817239267657df73518995fcbfdd1b5d02bb387c3a62897e61d8975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07350",
    "kind": "arxiv",
    "version": 2
  }
}