Pith Number

pith:YQ6FWIYR

pith:2018:YQ6FWIYRX333IXFKIFVUDKNBGA

not attested not anchored not stored refs pending

A universal enveloping algebra for cocommutative rack bialgebras

Friedrich Wagemann (LMJL), Ulrich Kraehmer

arxiv:1810.03335 v2 · 2018-10-08 · math.AT · 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{YQ6FWIYRX333IXFKIFVUDKNBGA}

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	2026-05-18T00:03:36.381323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43c5b2311bef7b45caa416b41a9a1302559892b1968540533bcf80b5ca70822

Aliases

arxiv: 1810.03335 · arxiv_version: 1810.03335v2 · doi: 10.48550/arxiv.1810.03335 · pith_short_12: YQ6FWIYRX333 · pith_short_16: YQ6FWIYRX333IXFK · pith_short_8: YQ6FWIYR

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/YQ6FWIYRX333IXFKIFVUDKNBGA \
  | 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: c43c5b2311bef7b45caa416b41a9a1302559892b1968540533bcf80b5ca70822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78373469faf78aa1e9502a858fd59345538a536f6625401597bfa49c13ffcfce",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-08T09:08:37Z",
    "title_canon_sha256": "47cef8834c24140bbb8828ab91f80b91ede0c4e632931be2eb7b38b9ad6756ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03335",
    "kind": "arxiv",
    "version": 2
  }
}