Pith Number

pith:BL32LVRK

pith:2014:BL32LVRKPDG7TFVIAUJ6IQKB2D

not attested not anchored not stored refs pending

Classification of affine prime regular Hopf algebras of GK-dimension one

Gongxiang Liu, Jinyong Wu, Nanqing Ding

arxiv:1410.7497 v2 · 2014-10-28 · 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{BL32LVRKPDG7TFVIAUJ6IQKB2D}

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	2026-05-18T01:17:30.930804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af7a5d62a78cdf996a80513e44141d0ded243d45f84ab4bab1a1c80d42840bc

Aliases

arxiv: 1410.7497 · arxiv_version: 1410.7497v2 · doi: 10.48550/arxiv.1410.7497 · pith_short_12: BL32LVRKPDG7 · pith_short_16: BL32LVRKPDG7TFVI · pith_short_8: BL32LVRK

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/BL32LVRKPDG7TFVIAUJ6IQKB2D \
  | 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: 0af7a5d62a78cdf996a80513e44141d0ded243d45f84ab4bab1a1c80d42840bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aac8277e8b7c3494c862b47eb158d1dcc7897722bfa35c862109e2632b03ca9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-10-28T02:43:12Z",
    "title_canon_sha256": "95e5a7cb585210a862bb4af97dc444d704b236a0f7e416d35f0b0d02fd2cc04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7497",
    "kind": "arxiv",
    "version": 2
  }
}