Pith Number

pith:UKU6O65U

pith:2016:UKU6O65UBW7OWEY3SKYEVLSKQ4

not attested not anchored not stored refs pending

Hall algebras and quantum groups associated to Dynkin quivers

Limeng Xia, Yun Gao

arxiv:1605.00242 v2 · 2016-05-01 · 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{UKU6O65UBW7OWEY3SKYEVLSKQ4}

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	2026-05-18T01:15:38.058293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a9e77bb40dbeeb131b92b04aae4a870b189fb5370f2f7fcd62224c73ccbc2e

Aliases

arxiv: 1605.00242 · arxiv_version: 1605.00242v2 · doi: 10.48550/arxiv.1605.00242 · pith_short_12: UKU6O65UBW7O · pith_short_16: UKU6O65UBW7OWEY3 · pith_short_8: UKU6O65U

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/UKU6O65UBW7OWEY3SKYEVLSKQ4 \
  | 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: a2a9e77bb40dbeeb131b92b04aae4a870b189fb5370f2f7fcd62224c73ccbc2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e5bab8ee1e1fa9dcf7b8b4c5a8d979d871539ef528ac269e0938f47d93370d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-01T11:56:23Z",
    "title_canon_sha256": "88dc287787739ee791dee62661fe9709bc00836617594c7c53159a8c5361865f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00242",
    "kind": "arxiv",
    "version": 2
  }
}