Pith Number

pith:6N5DKZ3I

pith:2026:6N5DKZ3I7ZHSQXHQIXXXALHMC7

not attested not anchored not stored refs pending

A decomposition of Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems

Alexandru A. Popa, Jack Walsh

arxiv:2607.11834 v1 · 2026-07-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6N5DKZ3I7ZHSQXHQIXXXALHMC7}

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	2026-07-14T02:22:34.788465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37a356768fe4f285cf045ef702cec17e66c9b63393adc298f8a7f1d9071f8de

Aliases

arxiv: 2607.11834 · arxiv_version: 2607.11834v1 · doi: 10.48550/arxiv.2607.11834 · pith_short_12: 6N5DKZ3I7ZHS · pith_short_16: 6N5DKZ3I7ZHSQXHQ · pith_short_8: 6N5DKZ3I

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/6N5DKZ3I7ZHSQXHQIXXXALHMC7 \
  | 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: f37a356768fe4f285cf045ef702cec17e66c9b63393adc298f8a7f1d9071f8de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6d821f2de0364526bf254d968e32126715174a78243f7b4dd5e22fdeb2c4e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-13T17:26:45Z",
    "title_canon_sha256": "f67e62bc4858ecf894b58fa756928d4601a9518c672bc697528f1d7a7b2777e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11834",
    "kind": "arxiv",
    "version": 1
  }
}