Pith Number

pith:XFMM6UVF

pith:2011:XFMM6UVF5UKWTDYOFXDNCTKSX2

not attested not anchored not stored refs pending

Twisted partial actions of Hopf algebras

Antonio Paques, Eliezer Batista, Marcelo Muniz S. Alves, Michael Dokuchaev

arxiv:1111.1281 v1 · 2011-11-05 · math.RA · 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{XFMM6UVF5UKWTDYOFXDNCTKSX2}

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	2026-05-18T01:27:15.566456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b958cf52a5ed15698f0e2dc6d14d52be86246683111f1b2975563f72a142bd4e

Aliases

arxiv: 1111.1281 · arxiv_version: 1111.1281v1 · doi: 10.48550/arxiv.1111.1281 · pith_short_12: XFMM6UVF5UKW · pith_short_16: XFMM6UVF5UKWTDYO · pith_short_8: XFMM6UVF

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/XFMM6UVF5UKWTDYOFXDNCTKSX2 \
  | 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: b958cf52a5ed15698f0e2dc6d14d52be86246683111f1b2975563f72a142bd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfbbb4d90c28377aa441d63056fd65f915b5932f622ec31e846be2ad4fdbb3ec",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-05T03:38:06Z",
    "title_canon_sha256": "e90c34680e9bbb920fe57d1386996ff89576f1b12e3234d0a0e0e74fd7381c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1281",
    "kind": "arxiv",
    "version": 1
  }
}