Pith Number

pith:I22SYN5Z

pith:2025:I22SYN5ZWFWK3JOLZCEYVAMKMX

not attested not anchored not stored refs pending

An abelian formula for the quantum Weyl group action of the coroot lattice

S. Gautam, V. Toledano-Laredo

arxiv:2501.02365 v2 · 2025-01-04 · math.QA · math.AG · 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{I22SYN5ZWFWK3JOLZCEYVAMKMX}

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	2026-05-26T01:02:25.657650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b52c37b9b16cada5cbc8898a818a65c8082df085553cb15c52896a37230f80

Aliases

arxiv: 2501.02365 · arxiv_version: 2501.02365v2 · doi: 10.48550/arxiv.2501.02365 · pith_short_12: I22SYN5ZWFWK · pith_short_16: I22SYN5ZWFWK3JOL · pith_short_8: I22SYN5Z

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/I22SYN5ZWFWK3JOLZCEYVAMKMX \
  | 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: 46b52c37b9b16cada5cbc8898a818a65c8082df085553cb15c52896a37230f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa1c55b1704e3f206e36881666641401503ecd561286997bf0c2d5a47613aec",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-01-04T19:56:47Z",
    "title_canon_sha256": "d140c7106b436078e0c6238064672feb1a81ed1b9a9dfa2b28bc3b57a5856bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02365",
    "kind": "arxiv",
    "version": 2
  }
}