Pith Number

pith:VGN23KQ7

pith:2026:VGN23KQ74TNB74AGECWCQP65RQ

not attested not anchored not stored refs pending

Twisted quantum loop algebras via semi-derived Ringel-Hall algebras

Ming Lu, Shiquan Ruan

arxiv:2606.19691 v1 · 2026-06-18 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGN23KQ74TNB74AGECWCQP65RQ}

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	2026-06-19T16:12:32.283195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99badaa1fe4da1ff00620ac283fdd8c24317236c49f9f4d6875bf486121a311

Aliases

arxiv: 2606.19691 · arxiv_version: 2606.19691v1 · doi: 10.48550/arxiv.2606.19691 · pith_short_12: VGN23KQ74TNB · pith_short_16: VGN23KQ74TNB74AG · pith_short_8: VGN23KQ7

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/VGN23KQ74TNB74AGECWCQP65RQ \
  | 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: a99badaa1fe4da1ff00620ac283fdd8c24317236c49f9f4d6875bf486121a311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2462913141aebbb866d2cec6383421dab5b8bcf751fd1bafa51af0a26a984727",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-06-18T01:39:53Z",
    "title_canon_sha256": "9bd28ebdb9df0fc1b00d4bb8674c1ba13140419c52892c70ecc7f8caf1767731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19691",
    "kind": "arxiv",
    "version": 1
  }
}