Pith Number

pith:SY6LX5L4

pith:2026:SY6LX5L4344AH7MCFSM35LLRHD

not attested not anchored not stored refs pending

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras

Woojin Choi

arxiv:2601.18636 v2 · 2026-01-26 · math.QA · math-ph · math.MP · 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{SY6LX5L4344AH7MCFSM35LLRHD}

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	2026-05-22T02:04:38.981505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963cbbf57cdf3803fd822c99bead7138f4a5cb4867a9c0b20ff5e9a6ccfd6a57

Aliases

arxiv: 2601.18636 · arxiv_version: 2601.18636v2 · doi: 10.48550/arxiv.2601.18636 · pith_short_12: SY6LX5L4344A · pith_short_16: SY6LX5L4344AH7MC · pith_short_8: SY6LX5L4

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/SY6LX5L4344AH7MCFSM35LLRHD \
  | 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: 963cbbf57cdf3803fd822c99bead7138f4a5cb4867a9c0b20ff5e9a6ccfd6a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9d497d433ab41ddd1cd55de180b57232ee5724a776de555880a28000a987c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-01-26T16:09:21Z",
    "title_canon_sha256": "b6135459eb8a948bbf19c6c7ddd96e7356a6f4ce8d5ebdd13ebc36023579ba13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.18636",
    "kind": "arxiv",
    "version": 2
  }
}