Pith Number

pith:3B6IYZB3

pith:2010:3B6IYZB3MR2K7NYVGE7QMPZQ47

not attested not anchored not stored refs pending

Gr\"obner-Shirshov Bases and Hilbert Series of Free Dendriform Algebras

Bin Wang, Yuqun Chen

arxiv:1009.0185 v1 · 2010-09-01 · 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{3B6IYZB3MR2K7NYVGE7QMPZQ47}

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	2026-05-18T04:34:55.140672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87c8c643b6474afb715313f063f30e7ea3aa049de54a34b9a4fb5116dfd8a82

Aliases

arxiv: 1009.0185 · arxiv_version: 1009.0185v1 · doi: 10.48550/arxiv.1009.0185 · pith_short_12: 3B6IYZB3MR2K · pith_short_16: 3B6IYZB3MR2K7NYV · pith_short_8: 3B6IYZB3

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/3B6IYZB3MR2K7NYVGE7QMPZQ47 \
  | 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: d87c8c643b6474afb715313f063f30e7ea3aa049de54a34b9a4fb5116dfd8a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ac645b376e3c1876d20c248e0da87a428582f7bd056ba36b3a7185e797f32f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-09-01T14:32:11Z",
    "title_canon_sha256": "cfbea108f24b4d69f79ffdb395a90fe3d9f886d6e2b9e127c714bf576f79feeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0185",
    "kind": "arxiv",
    "version": 1
  }
}