Pith Number

pith:QUS44UJ3

pith:2012:QUS44UJ35POO7XRHNTHNMN4RPY

not attested not anchored not stored refs pending

Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1207.2713 v1 · 2012-07-11 · math.CA · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUS44UJ35POO7XRHNTHNMN4RPY}

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	2026-05-18T03:41:21.299624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8525ce513bebdcefde276cced637917e212d81c650f3766199bc529e1d8edc1f

Aliases

arxiv: 1207.2713 · arxiv_version: 1207.2713v1 · doi: 10.48550/arxiv.1207.2713 · pith_short_12: QUS44UJ35POO · pith_short_16: QUS44UJ35POO7XRH · pith_short_8: QUS44UJ3

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/QUS44UJ35POO7XRHNTHNMN4RPY \
  | 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: 8525ce513bebdcefde276cced637917e212d81c650f3766199bc529e1d8edc1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58555f8a7d8e99743f477a3df18cee822a7bf610c9a54c44be60d10cb3705a4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-11T17:19:43Z",
    "title_canon_sha256": "5ba848fef0aa5da5b3712420cff5d5ee467c3f67f8faba39f4970c858ef05257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2713",
    "kind": "arxiv",
    "version": 1
  }
}