Pith Number

pith:AILQT25C

pith:2013:AILQT25C6SYF4Q2C7QYNA37IUA

not attested not anchored not stored refs pending

Quantum quasi-shuffle algebras II. Explicit formulas, dualization, and representations

Run-Qiang Jian

arxiv:1302.5888 v4 · 2013-02-24 · math.QA · math.RA · 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{AILQT25C6SYF4Q2C7QYNA37IUA}

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	2026-05-18T00:54:15.982252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021709eba2f4b05e4342fc30d06fe8a00874893f2ee4ecd04ceb5f70db00ccca

Aliases

arxiv: 1302.5888 · arxiv_version: 1302.5888v4 · doi: 10.48550/arxiv.1302.5888 · pith_short_12: AILQT25C6SYF · pith_short_16: AILQT25C6SYF4Q2C · pith_short_8: AILQT25C

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/AILQT25C6SYF4Q2C7QYNA37IUA \
  | 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: 021709eba2f4b05e4342fc30d06fe8a00874893f2ee4ecd04ceb5f70db00ccca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b73072e1cf93ceb326d8898dcfef267c68793c4d738689184496200fa52d48",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-02-24T09:37:55Z",
    "title_canon_sha256": "78672885fd0215c76e767b12ffddceeb1b46067f641eae9d25c1a867877b8739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5888",
    "kind": "arxiv",
    "version": 4
  }
}