Pith Number

pith:IH3KP7V3

pith:2010:IH3KP7V3AYKNRUB36FLLY47HVV

not attested not anchored not stored refs pending

An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator

Jan M\"ollers, Toshiyuki Kobayashi

arxiv:1003.2699 v1 · 2010-03-13 · math.CA · 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{IH3KP7V3AYKNRUB36FLLY47HVV}

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	2026-05-18T02:56:11.921351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f6a7febb0614d8d03bf156bc73e7ad64046894b22b3d2aa13ec5f1121d74e8

Aliases

arxiv: 1003.2699 · arxiv_version: 1003.2699v1 · doi: 10.48550/arxiv.1003.2699 · pith_short_12: IH3KP7V3AYKN · pith_short_16: IH3KP7V3AYKNRUB3 · pith_short_8: IH3KP7V3

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/IH3KP7V3AYKNRUB36FLLY47HVV \
  | 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: 41f6a7febb0614d8d03bf156bc73e7ad64046894b22b3d2aa13ec5f1121d74e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69668e8468bc9880b5669d83a5adb315b9e73ff936134d9811a28a29f4004313",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-13T11:18:40Z",
    "title_canon_sha256": "894dedb54f6880c4d0a725c26bf4a72893909704635e2d63b627b2995d38879e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2699",
    "kind": "arxiv",
    "version": 1
  }
}