Pith Number

pith:XBYG4LH5

pith:2010:XBYG4LH5TE2K475WH7YIJ2PYAY

not attested not anchored not stored refs pending

O-operators on associative algebras and dendriform algebras

Chengming Bai, Li Guo, Xiang Ni

arxiv:1003.2432 v2 · 2010-03-11 · math.RA · math.CT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBYG4LH5TE2K475WH7YIJ2PYAY}

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	2026-05-18T01:30:15.964538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8706e2cfd9934ae7fb63ff084e9f80629412e144726865d4a1c37f83dec990e

Aliases

arxiv: 1003.2432 · arxiv_version: 1003.2432v2 · doi: 10.48550/arxiv.1003.2432 · pith_short_12: XBYG4LH5TE2K · pith_short_16: XBYG4LH5TE2K475W · pith_short_8: XBYG4LH5

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/XBYG4LH5TE2K475WH7YIJ2PYAY \
  | 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: b8706e2cfd9934ae7fb63ff084e9f80629412e144726865d4a1c37f83dec990e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17195e83d497a2123f6cec47f7e5ae92464162b3f4c9c0bb8d25c873531c61f4",
    "cross_cats_sorted": [
      "math.CT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-03-11T21:42:38Z",
    "title_canon_sha256": "66b9ffc4d68da19ca6760c5069bbfeaf5bd82c61e8c29ec84c72c2f3e6a66c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2432",
    "kind": "arxiv",
    "version": 2
  }
}