Pith Number

pith:5EI33PE4

pith:2011:5EI33PE4F6YBYXHU3DPP5IU5D6

not attested not anchored not stored refs pending

Multiplicative properties of a quantum Caldero-Chapoton map associated to valued quivers

Jie Sheng, Ming Ding

arxiv:1109.5342 v1 · 2011-09-25 · math.RT · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EI33PE4F6YBYXHU3DPP5IU5D6}

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	2026-05-18T04:12:19.972504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e911bdbc9c2fb01c5cf4d8defea29d1fa0a84a07d74868edc20d7cb7201ca147

Aliases

arxiv: 1109.5342 · arxiv_version: 1109.5342v1 · doi: 10.48550/arxiv.1109.5342 · pith_short_12: 5EI33PE4F6YB · pith_short_16: 5EI33PE4F6YBYXHU · pith_short_8: 5EI33PE4

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/5EI33PE4F6YBYXHU3DPP5IU5D6 \
  | 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: e911bdbc9c2fb01c5cf4d8defea29d1fa0a84a07d74868edc20d7cb7201ca147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0daa82a767ce2220c74abf1170ec1ea967cc99791dc5a699afb8100c492893ba",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-25T10:04:23Z",
    "title_canon_sha256": "c2b161ffe1329f890d387a3358ef41937db62c6483b82a2730096d8ecc3f3176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5342",
    "kind": "arxiv",
    "version": 1
  }
}