Pith Number

pith:7RKJVFYG

pith:2009:7RKJVFYGZJ3SEQPJVZ445RDNQI

not attested not anchored not stored refs pending

Quivers, Quasi-Quantum Groups and Finite Tensor Categories

Gongxiang Liu, Hua-Lin Huang, Yu Ye

arxiv:0906.3415 v1 · 2009-06-18 · 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{7RKJVFYGZJ3SEQPJVZ445RDNQI}

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	2026-05-18T02:13:19.081831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc549a9706ca772241e9ae79cec46d821d9013cdfa1c8127a451be3bae1e1b7e

Aliases

arxiv: 0906.3415 · arxiv_version: 0906.3415v1 · doi: 10.48550/arxiv.0906.3415 · pith_short_12: 7RKJVFYGZJ3S · pith_short_16: 7RKJVFYGZJ3SEQPJ · pith_short_8: 7RKJVFYG

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/7RKJVFYGZJ3SEQPJVZ445RDNQI \
  | 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: fc549a9706ca772241e9ae79cec46d821d9013cdfa1c8127a451be3bae1e1b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0f4b1b7e87fc15fb5ec61538aaed149253b28307780dae2cc4276bc599863e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-06-18T11:37:50Z",
    "title_canon_sha256": "f7a6d281cdf7fae3cc756a73ce5a4706ec3bc9c5e6fa01a0a323f5a4c5cefc11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3415",
    "kind": "arxiv",
    "version": 1
  }
}