Pith Number

pith:XJ3TLJXW

pith:2003:XJ3TLJXWNMKN5E467ZL6OVFPAQ

not attested not anchored not stored refs pending

Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials

Nasser Saad, Richard L. Hall

arxiv:math-ph/0306043 v1 · 2003-06-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ3TLJXWNMKN5E467ZL6OVFPAQ}

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

Landau levels in a gravitational field: The Schwarzschild spacetime case

Receipt and verification

First computed	2026-07-04T16:41:38.711200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7735a6f66b14de939efe57e754af0405f5ba89d156e8e44f309a7022aa9a4c

Aliases

arxiv: math-ph/0306043 · arxiv_version: math-ph/0306043v1 · doi: 10.48550/arxiv.math-ph/0306043 · pith_short_12: XJ3TLJXWNMKN · pith_short_16: XJ3TLJXWNMKN5E46 · pith_short_8: XJ3TLJXW

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/XJ3TLJXWNMKN5E467ZL6OVFPAQ \
  | 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: ba7735a6f66b14de939efe57e754af0405f5ba89d156e8e44f309a7022aa9a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b99a9483c34838c5efeed4ea5c139ab976598345373e138e014f8eba8f1f821",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-06-16T15:54:50Z",
    "title_canon_sha256": "e5c383e554573892fa53a119847cebad102e6f5a4580157a2e94295e40bd2e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0306043",
    "kind": "arxiv",
    "version": 1
  }
}