Pith Number

pith:LFILN2EL

pith:2017:LFILN2ELMMU46K7WATCI45NPGA

not attested not anchored not stored refs pending

On construction of transmutation operators for perturbed Bessel equations

Elina L. Shishkina, Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1712.01363 v1 · 2017-12-04 · math.CA · 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{LFILN2ELMMU46K7WATCI45NPGA}

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	2026-05-18T00:28:50.966713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5950b6e88b6329cf2bf604c48e75af3034fd6e8d29f26cfad87e43996796859e

Aliases

arxiv: 1712.01363 · arxiv_version: 1712.01363v1 · doi: 10.48550/arxiv.1712.01363 · pith_short_12: LFILN2ELMMU4 · pith_short_16: LFILN2ELMMU46K7W · pith_short_8: LFILN2EL

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/LFILN2ELMMU46K7WATCI45NPGA \
  | 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: 5950b6e88b6329cf2bf604c48e75af3034fd6e8d29f26cfad87e43996796859e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42748d4d444b705526ca722d5d0a682b7755184a4f002fac924de795910228a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-04T21:17:55Z",
    "title_canon_sha256": "812bce3fb13887e1dd637ea27c58037f2fd9fe19dea7d6c181cd72a9a3be45c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01363",
    "kind": "arxiv",
    "version": 1
  }
}