Pith Number

pith:VURWTQY3

pith:2025:VURWTQY3HEPDIRGLSZGXVIWY4U

not attested not anchored not stored refs pending

The number of cuspidal representations over a function field and its behavior under base changes

Takuro Fukayama

arxiv:2504.20564 v1 · 2025-04-29 · 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{VURWTQY3HEPDIRGLSZGXVIWY4U}

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	2026-07-05T10:55:44.813600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2369c31b391e3444cb964d7aa2d8e5344ee616418d9433d1846d406e95de75

Aliases

arxiv: 2504.20564 · arxiv_version: 2504.20564v1 · doi: 10.48550/arxiv.2504.20564 · pith_short_12: VURWTQY3HEPD · pith_short_16: VURWTQY3HEPDIRGL · pith_short_8: VURWTQY3

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/VURWTQY3HEPDIRGLSZGXVIWY4U \
  | 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: ad2369c31b391e3444cb964d7aa2d8e5344ee616418d9433d1846d406e95de75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393450a92cdcc8b2c707040189cb26d5c0108abb12d0d85a94ad0498345418f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-29T09:09:03Z",
    "title_canon_sha256": "de3f9491786ad0824caf6e62f929dc30578eeb6a7f2ac62995ba50f023856209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20564",
    "kind": "arxiv",
    "version": 1
  }
}