Pith Number

pith:RS5UEIQX

pith:2013:RS5UEIQXONO4GGGTFEPP5Z6DAP

not attested not anchored not stored refs pending

Spectral parameter power series for perturbed Bessel equations

Raul Castillo Perez, Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1303.3911 v1 · 2013-03-15 · math.CA · math-ph · math.MP · math.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS5UEIQXONO4GGGTFEPP5Z6DAP}

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	2026-05-18T03:16:38.434466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cbb422217735dc318d3291efee7c303dfc678e136cdd899529ce9be806d4195

Aliases

arxiv: 1303.3911 · arxiv_version: 1303.3911v1 · doi: 10.48550/arxiv.1303.3911 · pith_short_12: RS5UEIQXONO4 · pith_short_16: RS5UEIQXONO4GGGT · pith_short_8: RS5UEIQX

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/RS5UEIQXONO4GGGTFEPP5Z6DAP \
  | 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: 8cbb422217735dc318d3291efee7c303dfc678e136cdd899529ce9be806d4195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4694bccc98cd5881475dc0a2ec7679cc5ff48915b867eb34e133783868b0aac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-15T21:31:49Z",
    "title_canon_sha256": "1c7f558e229d70e093e54a4906e92b2374ea528610a60b0aa5610f95a62aba57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3911",
    "kind": "arxiv",
    "version": 1
  }
}