Pith Number

pith:MENZFYYG

pith:2009:MENZFYYGD6XXQNFB3WZNH6ORIY

not attested not anchored not stored refs pending

On the Structure of Tame Graded Basic Hopf Algebras II

Gongxiang Liu, Hua-Lin Huang

arxiv:0903.4301 v1 · 2009-03-25 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MENZFYYGD6XXQNFB3WZNH6ORIY}

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	2026-05-18T03:37:19.252236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611b92e3061faf7834a1ddb2d3f9d146394aabb76c6e391680a12df8fe9f5927

Aliases

arxiv: 0903.4301 · arxiv_version: 0903.4301v1 · doi: 10.48550/arxiv.0903.4301 · pith_short_12: MENZFYYGD6XX · pith_short_16: MENZFYYGD6XXQNFB · pith_short_8: MENZFYYG

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/MENZFYYGD6XXQNFB3WZNH6ORIY \
  | 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: 611b92e3061faf7834a1ddb2d3f9d146394aabb76c6e391680a12df8fe9f5927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff726a9b668be2a712d00bd57fb10cfdb278f4e7a8cf3d592876a78e63359fad",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-03-25T11:22:33Z",
    "title_canon_sha256": "a011612cf07f513ebaaee2a219d74dff615e1cacc3bed19a65e41e7c11109735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4301",
    "kind": "arxiv",
    "version": 1
  }
}