Pith Number

pith:A4Q543US

pith:2010:A4Q543US75DFVKZSGL2SQU2DNT

not attested not anchored not stored refs pending

A Generalisation For The Infinite Integral Over Three Spherical Bessel Functions

A. Hohenegger, R. Mehrem

arxiv:1006.2108 v4 · 2010-06-10 · math-ph · hep-th · math.MP · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4Q543US75DFVKZSGL2SQU2DNT}

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	2026-05-18T04:14:45.144581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0721de6e92ff465aab3232f52853436cda064d7ebd7c89766baf4a573edf3b20

Aliases

arxiv: 1006.2108 · arxiv_version: 1006.2108v4 · doi: 10.48550/arxiv.1006.2108 · pith_short_12: A4Q543US75DF · pith_short_16: A4Q543US75DFVKZS · pith_short_8: A4Q543US

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/A4Q543US75DFVKZSGL2SQU2DNT \
  | 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: 0721de6e92ff465aab3232f52853436cda064d7ebd7c89766baf4a573edf3b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900db831b76fa7a9445b07a28aa8280d0c37d1de3587e95879a6d2219867cd13",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-10T18:22:48Z",
    "title_canon_sha256": "2a91dbe21c68eeaf351d0329ee8132d46d0332dda0d0d448b166ee0170e6dd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2108",
    "kind": "arxiv",
    "version": 4
  }
}