Pith Number

pith:X6E2QVYZ

pith:2009:X6E2QVYZXGYDCAVF4JCLUPRWYP

not attested not anchored not stored refs pending

Symbolic integration of a product of two spherical bessel functions with an additional exponential and polynomial factor

B. Gebremariam, S. K. Bogner, T. Duguet

arxiv:0910.4993 v2 · 2009-10-27 · physics.comp-ph · 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{X6E2QVYZXGYDCAVF4JCLUPRWYP}

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	2026-05-18T02:11:11.168724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf89a85719b9b03102a5e244ba3e36c3f7cf7918e457077565447ea8cb12ca28

Aliases

arxiv: 0910.4993 · arxiv_version: 0910.4993v2 · doi: 10.48550/arxiv.0910.4993 · pith_short_12: X6E2QVYZXGYD · pith_short_16: X6E2QVYZXGYDCAVF · pith_short_8: X6E2QVYZ

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/X6E2QVYZXGYDCAVF4JCLUPRWYP \
  | 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: bf89a85719b9b03102a5e244ba3e36c3f7cf7918e457077565447ea8cb12ca28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886569d3fe9e520908cd8e6524ccd7544328d2f25fef856f027daf5023902000",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2009-10-27T19:56:08Z",
    "title_canon_sha256": "bd1523f42d51227103127f81d52d5af7d006d551124712c4b785a4ef8a0d28f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4993",
    "kind": "arxiv",
    "version": 2
  }
}