Pith Number

pith:YX7O2JNU

pith:2013:YX7O2JNU7KN3RLPEHU325YDCVZ

not attested not anchored not stored refs pending

The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite

A. Rechnitzer, E. J. Janse van Rensburg, M. Elder, T. Wong

arxiv:1309.4184 v3 · 2013-09-17 · math.GR · 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{YX7O2JNU7KN3RLPEHU325YDCVZ}

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	2026-05-18T02:50:22.912045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5feed25b4fa9bb8ade43d37aee062ae44f60f87f54595fb1117197cdfaea897

Aliases

arxiv: 1309.4184 · arxiv_version: 1309.4184v3 · doi: 10.48550/arxiv.1309.4184 · pith_short_12: YX7O2JNU7KN3 · pith_short_16: YX7O2JNU7KN3RLPE · pith_short_8: YX7O2JNU

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/YX7O2JNU7KN3RLPEHU325YDCVZ \
  | 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: c5feed25b4fa9bb8ade43d37aee062ae44f60f87f54595fb1117197cdfaea897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60b7358ffd2e4a4e2c85f7b86126f7ca91eaab8c13f1ad6758d0ab608714092",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-17T05:07:42Z",
    "title_canon_sha256": "f791dea98fa1995e72779cf2a82de5ab73adb98fceb3432b6c9bc8084dbb3c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4184",
    "kind": "arxiv",
    "version": 3
  }
}