Pith Number

pith:3VEWXGWX

pith:2026:3VEWXGWXCM7HBASYF3245SJV6B

not attested not anchored not stored refs pending

Fourier positivity for spherical functions I: split tori and spherical principal series

Dongwen Liu, Genkai Zhang, Jun Yu, Michael Bj\"orklund

arxiv:2606.07286 v1 · 2026-06-05 · 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{3VEWXGWXCM7HBASYF3245SJV6B}

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	2026-06-08T01:05:17.487127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd496b9ad7133e7082582ef5cec935f046caaacff28f426f6620bc4c57dbae7c

Aliases

arxiv: 2606.07286 · arxiv_version: 2606.07286v1 · doi: 10.48550/arxiv.2606.07286 · pith_short_12: 3VEWXGWXCM7H · pith_short_16: 3VEWXGWXCM7HBASY · pith_short_8: 3VEWXGWX

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/3VEWXGWXCM7HBASYF3245SJV6B \
  | 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: dd496b9ad7133e7082582ef5cec935f046caaacff28f426f6620bc4c57dbae7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf6496cf891ad04736e120c88fec17738548eb36c8af24d0f8bb82ab1090164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-05T13:58:40Z",
    "title_canon_sha256": "520860295e741921c9476d6a726f4470cac9a46146f299216251c94d26364c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07286",
    "kind": "arxiv",
    "version": 1
  }
}