Pith Number

pith:RPROC4UL

pith:2016:RPROC4ULW6S3PNR5BLYMPBFBOH

not attested not anchored not stored refs pending

Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra

Pavel Kolesnikov, Vsevolod Gubarev

arxiv:1602.07409 v1 · 2016-02-24 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPROC4ULW6S3PNR5BLYMPBFBOH}

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	2026-05-18T00:02:02.413564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be2e1728bb7a5b7b63d0af0c784a171ec5b46c8cab10f5c5eb2139aab21822a

Aliases

arxiv: 1602.07409 · arxiv_version: 1602.07409v1 · doi: 10.48550/arxiv.1602.07409 · pith_short_12: RPROC4ULW6S3 · pith_short_16: RPROC4ULW6S3PNR5 · pith_short_8: RPROC4UL

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/RPROC4ULW6S3PNR5BLYMPBFBOH \
  | 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: 8be2e1728bb7a5b7b63d0af0c784a171ec5b46c8cab10f5c5eb2139aab21822a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f014c52e9eb0e38c910a0085475786afe17a3dcecf65fd37aae5508560a20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-02-24T06:20:45Z",
    "title_canon_sha256": "86fe4f17dc8f3783b9b3b5a3d4a613c4b067253b840dfddb85ba98d8f5d11767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07409",
    "kind": "arxiv",
    "version": 1
  }
}