Pith Number

pith:ZQVXHEK7

pith:2005:ZQVXHEK7TGH6L3K7WMOQMHR4H7

not attested not anchored not stored refs pending

On the representation categories of matrix quantum groups of type $A$

Phung Ho Hai

arxiv:math/0502399 v1 · 2005-02-18 · math.QA · math-ph · math.CT · 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{ZQVXHEK7TGH6L3K7WMOQMHR4H7}

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	2026-05-17T23:45:55.714606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2b73915f998fe5ed5fb31d061e3c3fde894de51681e66d15f6e5d4cda3a2c1

Aliases

arxiv: math/0502399 · arxiv_version: math/0502399v1 · doi: 10.48550/arxiv.math/0502399 · pith_short_12: ZQVXHEK7TGH6 · pith_short_16: ZQVXHEK7TGH6L3K7 · pith_short_8: ZQVXHEK7

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/ZQVXHEK7TGH6L3K7WMOQMHR4H7 \
  | 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: cc2b73915f998fe5ed5fb31d061e3c3fde894de51681e66d15f6e5d4cda3a2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce0dabf975728283432892e0706b28e0034ff048723b4252283bdabf67aafb3",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-02-18T13:44:18Z",
    "title_canon_sha256": "efada659c27ed11a4d93e267ed6a020af19af9361b2a96410559640487563a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502399",
    "kind": "arxiv",
    "version": 1
  }
}