Pith Number

pith:WBZTT5GD

pith:2006:WBZTT5GDWMBL5AR4SB4FGC6VNK

not attested not anchored not stored refs pending

PBW theorems and Frobenius structures for quantum matrices

Fabio Gavarini

arxiv:math/0610691 v2 · 2006-10-23 · 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{WBZTT5GDWMBL5AR4SB4FGC6VNK}

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	2026-05-18T04:08:53.169311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07339f4c3b302be823c9078530bd56a959fb469b1f289ccf8b13670a890c3ec

Aliases

arxiv: math/0610691 · arxiv_version: math/0610691v2 · doi: 10.48550/arxiv.math/0610691 · pith_short_12: WBZTT5GDWMBL · pith_short_16: WBZTT5GDWMBL5AR4 · pith_short_8: WBZTT5GD

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/WBZTT5GDWMBL5AR4SB4FGC6VNK \
  | 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: b07339f4c3b302be823c9078530bd56a959fb469b1f289ccf8b13670a890c3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448eb190b3b6880a867b3d24c79856312cdeca63f14ad89960fbde36216ba7b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-10-23T17:22:16Z",
    "title_canon_sha256": "76f963df25160b5420afdaf0f01eb892505a5d480b74ce1260225953e6ec561d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610691",
    "kind": "arxiv",
    "version": 2
  }
}