Pith Number

pith:CUZXLQPN

pith:2011:CUZXLQPN27BV4S6JSAZIRFC6UJ

not attested not anchored not stored refs pending

An Analytical Evaluation For The Integral Of Two Spherical Bessel Functions With An Additional Exponential And Polynomial Factor

R. Mehrem

arxiv:1110.6147 v1 · 2011-10-27 · math-ph · 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{CUZXLQPN27BV4S6JSAZIRFC6UJ}

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	2026-05-18T04:10:09.458666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153375c1edd7c35e4bc9903288945ea257c43e7d1db11231c81f15a86904c23b

Aliases

arxiv: 1110.6147 · arxiv_version: 1110.6147v1 · doi: 10.48550/arxiv.1110.6147 · pith_short_12: CUZXLQPN27BV · pith_short_16: CUZXLQPN27BV4S6J · pith_short_8: CUZXLQPN

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/CUZXLQPN27BV4S6JSAZIRFC6UJ \
  | 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: 153375c1edd7c35e4bc9903288945ea257c43e7d1db11231c81f15a86904c23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8830a71e935768d2ee27c544c8bbfcbb3014bede87167f955ec26b36b67e3c2",
    "cross_cats_sorted": [
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-27T18:11:46Z",
    "title_canon_sha256": "48bc9d3dec5df55d8028296273e11961a3fdf187b54a7a515b2a60030e25ab29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6147",
    "kind": "arxiv",
    "version": 1
  }
}