pith. sign in
Pith Number

pith:TZVCXJWF

pith:2016:TZVCXJWFKHJJBB2TZXH2XWRUYQ
not attested not anchored not stored refs pending

Generalized wave polynomials and transmutations related to perturbed Bessel equations

Jessica Yu. Santana-Bejarano, Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1606.07850 v2 · 2016-06-24 · math.CA · math.AP · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TZVCXJWFKHJJBB2TZXH2XWRUYQ}

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 2026-05-18T00:20:22.521948Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9e6a2ba6c551d2908753cdcfabda34c43376cfa47210161e2ec29e24d1ee16e7

Aliases

arxiv: 1606.07850 · arxiv_version: 1606.07850v2 · doi: 10.48550/arxiv.1606.07850 · pith_short_12: TZVCXJWFKHJJ · pith_short_16: TZVCXJWFKHJJBB2T · pith_short_8: TZVCXJWF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TZVCXJWFKHJJBB2TZXH2XWRUYQ \
  | 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: 9e6a2ba6c551d2908753cdcfabda34c43376cfa47210161e2ec29e24d1ee16e7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0751b6d4e018c6c8a1f39c13d42541d0cfee542283122f21dd76ff7f63268cd4",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-24T22:56:32Z",
    "title_canon_sha256": "1b7c9cf2a3f5c86c69eae25000815e87d4832be7793c1040b7ade32364c6d7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07850",
    "kind": "arxiv",
    "version": 2
  }
}