Pith Number

pith:PCOAUBC6

pith:2024:PCOAUBC67PO3BZFTSO262I4HNN

not attested not anchored not stored refs pending

Limits of Bessel functions for root systems as the rank tends to infinity

Dominik Brennecken, Margit R\"osler

arxiv:2401.02515 v2 · 2024-01-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCOAUBC67PO3BZFTSO262I4HNN}

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.

Cited by

1 paper in Pith

Airy$_\beta$ line ensemble and its Laplace transform

Receipt and verification

First computed	2026-07-05T08:13:52.966958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789c0a045efbddb0e4b393b5ed23876b6ccdfda2cba8bce3644861a159008412

Aliases

arxiv: 2401.02515 · arxiv_version: 2401.02515v2 · doi: 10.48550/arxiv.2401.02515 · pith_short_12: PCOAUBC67PO3 · pith_short_16: PCOAUBC67PO3BZFT · pith_short_8: PCOAUBC6

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/PCOAUBC67PO3BZFTSO262I4HNN \
  | 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: 789c0a045efbddb0e4b393b5ed23876b6ccdfda2cba8bce3644861a159008412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d2b3e04f70bf6b920e5dcd82721e6e3ebd9f1e16e813b64348a9b6e8ce4df8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-01-04T19:50:03Z",
    "title_canon_sha256": "ffc0d039ef66e239a67c421589ee064dfe5d0ad61b33798e1f3d1389381a9d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02515",
    "kind": "arxiv",
    "version": 2
  }
}