Pith Number

pith:DCZD4KWZ

pith:2011:DCZD4KWZMGPXQUECVDFLJUTUO2

not attested not anchored not stored refs pending

On cluster theory and quantum dilogarithm identities

Bernhard Keller

arxiv:1102.4148 v4 · 2011-02-21 · math.RT · math.CO · 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{DCZD4KWZMGPXQUECVDFLJUTUO2}

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.

Cited by

1 paper in Pith

Contractibility and total semi-stability conditions of Euclidean quivers

Receipt and verification

First computed	2026-05-18T04:11:07.351720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b23e2ad9619f785082a8cab4d27476aa7be65816eb3d8c33dc671d6a2d47c6

Aliases

arxiv: 1102.4148 · arxiv_version: 1102.4148v4 · doi: 10.48550/arxiv.1102.4148 · pith_short_12: DCZD4KWZMGPX · pith_short_16: DCZD4KWZMGPXQUEC · pith_short_8: DCZD4KWZ

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/DCZD4KWZMGPXQUECVDFLJUTUO2 \
  | 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: 18b23e2ad9619f785082a8cab4d27476aa7be65816eb3d8c33dc671d6a2d47c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261903c4b60ca6c7cab22ee8129984ab41585747bfd79f55de36c59496ab0d0c",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-21T06:54:49Z",
    "title_canon_sha256": "15a29a107b9f4f6d3aa4c24609e528a3d543dad5fa524f9414f7e928c27d30d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4148",
    "kind": "arxiv",
    "version": 4
  }
}