Pith Number

pith:4W3L7EA5

pith:2011:4W3L7EA52CIBVPELDVG5OAL65T

not attested not anchored not stored refs pending

Automorphisms of the two-parameter Hopf algebra $\V$

Xin Tang

arxiv:1106.1908 v1 · 2011-06-09 · 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{4W3L7EA52CIBVPELDVG5OAL65T}

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	2026-05-18T04:20:14.041229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b6bf901dd0901abc8b1d4dd7017eecee144b638057adfa1d7d11cb6ddb9b81

Aliases

arxiv: 1106.1908 · arxiv_version: 1106.1908v1 · doi: 10.48550/arxiv.1106.1908 · pith_short_12: 4W3L7EA52CIB · pith_short_16: 4W3L7EA52CIBVPEL · pith_short_8: 4W3L7EA5

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/4W3L7EA52CIBVPELDVG5OAL65T \
  | 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: e5b6bf901dd0901abc8b1d4dd7017eecee144b638057adfa1d7d11cb6ddb9b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ca95afd0ad24321b00c49e868fd0755e0c7f42ce39ce948d5b5fba7bae4881",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-09T20:13:06Z",
    "title_canon_sha256": "681e9b1a62125b94a3fdf7ab323059976d72c2f03142fe33a52ba80f8b88cfdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1908",
    "kind": "arxiv",
    "version": 1
  }
}