Pith Number

pith:K4CA7PV3

pith:2009:K4CA7PV3KLSDCYE2OZSJ6V6S24

not attested not anchored not stored refs pending

Isomorphisms and automorphisms of quantum groups

Jie-Tai Yu, Li-Bin Li

arxiv:0910.1713 v4 · 2009-10-09 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4CA7PV3KLSDCYE2OZSJ6V6S24}

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	2026-05-18T04:01:49.864427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57040fbebb52e431609a76649f57d2d70471743119d8cb3b6bf383fd09d6e7bb

Aliases

arxiv: 0910.1713 · arxiv_version: 0910.1713v4 · doi: 10.48550/arxiv.0910.1713 · pith_short_12: K4CA7PV3KLSD · pith_short_16: K4CA7PV3KLSDCYE2 · pith_short_8: K4CA7PV3

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/K4CA7PV3KLSDCYE2OZSJ6V6S24 \
  | 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: 57040fbebb52e431609a76649f57d2d70471743119d8cb3b6bf383fd09d6e7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be21fcf92b8ccbeb6bb9ef8ef342456ea2acdd7760924a1bc4dc11babf148928",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-10-09T11:35:06Z",
    "title_canon_sha256": "0fc2f051a770a2bf463fb71c18e6ac63f978c5e645acc3bcc4348f4797200e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1713",
    "kind": "arxiv",
    "version": 4
  }
}