Pith Number

pith:T4BL6HIC

pith:2010:T4BL6HICSKILD7UF5EWFQ73OZF

not attested not anchored not stored refs pending

A quantum cluster algebra of Kronecker type and the dual canonical basis

Philipp Lampe

arxiv:1002.2762 v2 · 2010-02-14 · math.RT · 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{T4BL6HICSKILD7UF5EWFQ73OZF}

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	2026-05-18T04:15:28.552635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f02bf1d029290b1fe85e92c587f6ec95d3eddf0ff65b60b6de16ce5d4a22b65

Aliases

arxiv: 1002.2762 · arxiv_version: 1002.2762v2 · doi: 10.48550/arxiv.1002.2762 · pith_short_12: T4BL6HICSKIL · pith_short_16: T4BL6HICSKILD7UF · pith_short_8: T4BL6HIC

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/T4BL6HICSKILD7UF5EWFQ73OZF \
  | 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: 9f02bf1d029290b1fe85e92c587f6ec95d3eddf0ff65b60b6de16ce5d4a22b65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ac88975c2052de2d759bf7dc5df8a1cf7f18a88c2dc1c1c8ebb89344fb9055",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-02-14T11:11:21Z",
    "title_canon_sha256": "c251bad6d82dae63056dd68a378c9b8fd7d5ddec4c9316f17e6ad4179b3d13f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2762",
    "kind": "arxiv",
    "version": 2
  }
}