Pith Number

pith:VW2YFOCJ

pith:2021:VW2YFOCJYFIB7HB5VGF56BE3RD

not attested not anchored not stored refs pending

Braid group symmetries on quasi-split $\imath$quantum groups via $\imath$Hall algebras

Ming Lu, Weiqiang Wang

arxiv:2107.06023 v2 · 2021-07-13 · 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{VW2YFOCJYFIB7HB5VGF56BE3RD}

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	2026-07-05T05:17:59.550795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb582b849c1501f9c3da98bdf049b88d5f5eca5512234788b020add7fa634de

Aliases

arxiv: 2107.06023 · arxiv_version: 2107.06023v2 · doi: 10.48550/arxiv.2107.06023 · pith_short_12: VW2YFOCJYFIB · pith_short_16: VW2YFOCJYFIB7HB5 · pith_short_8: VW2YFOCJ

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/VW2YFOCJYFIB7HB5VGF56BE3RD \
  | 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: adb582b849c1501f9c3da98bdf049b88d5f5eca5512234788b020add7fa634de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3b231d2e67e90441dabaed9f89e607b981d186116bc8a0836bc6b05f7f8b67",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-07-13T12:19:24Z",
    "title_canon_sha256": "a0f0fe9ee568625c1e23bab5d38946a3f2b2d893d176e413c20f6bcf8a122a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06023",
    "kind": "arxiv",
    "version": 2
  }
}