Pith Number

pith:TYXWNR7F

pith:2012:TYXWNR7FIYIPOP5OF65E5MHKKB

not attested not anchored not stored refs pending

Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension

Guangbin Zhuang

arxiv:1202.4121 v2 · 2012-02-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYXWNR7FIYIPOP5OF65E5MHKKB}

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	2026-05-18T03:40:36.531299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2f66c7e54610f73fae2fba4eb0ea506cfaab05f14dcef9879f50e34eddfac7

Aliases

arxiv: 1202.4121 · arxiv_version: 1202.4121v2 · doi: 10.48550/arxiv.1202.4121 · pith_short_12: TYXWNR7FIYIP · pith_short_16: TYXWNR7FIYIPOP5O · pith_short_8: TYXWNR7F

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/TYXWNR7FIYIPOP5OF65E5MHKKB \
  | 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: 9e2f66c7e54610f73fae2fba4eb0ea506cfaab05f14dcef9879f50e34eddfac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae002dbe923fe2833dc83732c0695dbe44ea57bf85373f8d0a5b9192674327f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-02-19T01:19:31Z",
    "title_canon_sha256": "2f2435f078b89dddb2336182e1dbec39bd8dd61abe909cee848c13f29c5ff07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4121",
    "kind": "arxiv",
    "version": 2
  }
}