Pith Number

pith:KBHQU7LF

pith:2020:KBHQU7LFFATECAI3D7XJTHPIR5

not attested not anchored not stored refs pending

K-theoretic Hall algebras, quantum groups and super quantum groups

Eric Vasserot, Michela Varagnolo

arxiv:2011.01203 v5 · 2020-11-02 · 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{KBHQU7LFFATECAI3D7XJTHPIR5}

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	2026-07-05T04:09:12.937872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504f0a7d65282641011b1fee999de88f646df98b4d018baca078e83511a14b5a

Aliases

arxiv: 2011.01203 · arxiv_version: 2011.01203v5 · doi: 10.48550/arxiv.2011.01203 · pith_short_12: KBHQU7LFFATE · pith_short_16: KBHQU7LFFATECAI3 · pith_short_8: KBHQU7LF

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/KBHQU7LFFATECAI3D7XJTHPIR5 \
  | 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: 504f0a7d65282641011b1fee999de88f646df98b4d018baca078e83511a14b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735db61646f17cd27cfb1c0ce8cb74a94fb7377cb11a0c0766310457ebdaf6a1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-11-02T18:47:12Z",
    "title_canon_sha256": "3beb0fbf4cd497fee217f49c0e8293d4e28aaed0b0e2b5fb27533e96b70eaea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01203",
    "kind": "arxiv",
    "version": 5
  }
}