Pith Number

pith:KUQQFAT4

pith:2025:KUQQFAT4WQS4COYLNOXLETSWFT

not attested not anchored not stored refs pending

On exotic matrix exponential sums and Bessel-Speh functions

Elad Zelingher

arxiv:2507.06394 v1 · 2025-07-08 · math.NT · 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{KUQQFAT4WQS4COYLNOXLETSWFT}

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	2026-07-05T11:34:14.921720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

552102827cb425c13b0b6baeb24e562cda670de855cbd1f8b8ab89893bd9abeb

Aliases

arxiv: 2507.06394 · arxiv_version: 2507.06394v1 · doi: 10.48550/arxiv.2507.06394 · pith_short_12: KUQQFAT4WQS4 · pith_short_16: KUQQFAT4WQS4COYL · pith_short_8: KUQQFAT4

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/KUQQFAT4WQS4COYLNOXLETSWFT \
  | 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: 552102827cb425c13b0b6baeb24e562cda670de855cbd1f8b8ab89893bd9abeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f460da1b20265f186bdb1588fd09734654ef7bdf779cea2f99e4f68b56e35a77",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-08T21:02:09Z",
    "title_canon_sha256": "80344299a456cdfc8a3aa6022db5d421d38d618e28a8b8ecd3fa0dd77052aa4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06394",
    "kind": "arxiv",
    "version": 1
  }
}