Pith Number

pith:SCPTGZIS

pith:2011:SCPTGZISKZVUYTLZHH6ZKMOGQH

not attested not anchored not stored refs pending

Splitting of operations, Manin products and Rota-Baxter operators

Chengming Bai, Li Guo, Olivia Bellier, Xiang Ni

arxiv:1106.6080 v1 · 2011-06-29 · math.QA · math.CO · 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{SCPTGZISKZVUYTLZHH6ZKMOGQH}

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	2026-05-18T03:34:46.407694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909f336512566b4c4d7939fd9531c681c4ffd9a6a90a79acabbb4b008a9c32ad

Aliases

arxiv: 1106.6080 · arxiv_version: 1106.6080v1 · doi: 10.48550/arxiv.1106.6080 · pith_short_12: SCPTGZISKZVU · pith_short_16: SCPTGZISKZVUYTLZ · pith_short_8: SCPTGZIS

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/SCPTGZISKZVUYTLZHH6ZKMOGQH \
  | 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: 909f336512566b4c4d7939fd9531c681c4ffd9a6a90a79acabbb4b008a9c32ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b9a8990ab6c02528020cd596efb0e59d81fc082a31632b3b706d3004d00b57",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-06-29T23:13:35Z",
    "title_canon_sha256": "343100e0a962103a5c439fb08e771c43945648c8962cb04b8a14f0ce1e5358d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6080",
    "kind": "arxiv",
    "version": 1
  }
}