Pith Number

pith:N4PUXXOF

pith:2012:N4PUXXOFHTHRVGC22TFBA2NCSO

not attested not anchored not stored refs pending

Transmutations and spectral parameter power series in eigenvalue problems

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1203.4225 v1 · 2012-03-16 · math-ph · math.CA · 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{N4PUXXOFHTHRVGC22TFBA2NCSO}

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	2026-05-18T03:41:21.448690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1f4bddc53ccf1a985ad4ca1069a293b739f2aceb58a6a20d3c1033ec7afaa5

Aliases

arxiv: 1203.4225 · arxiv_version: 1203.4225v1 · doi: 10.48550/arxiv.1203.4225 · pith_short_12: N4PUXXOFHTHR · pith_short_16: N4PUXXOFHTHRVGC2 · pith_short_8: N4PUXXOF

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/N4PUXXOFHTHRVGC22TFBA2NCSO \
  | 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: 6f1f4bddc53ccf1a985ad4ca1069a293b739f2aceb58a6a20d3c1033ec7afaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8243d0d2dbdec6903b3bf5ce0d0f037423c3ce247e0f0cdcca92ba4046e749",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-16T23:33:01Z",
    "title_canon_sha256": "f6eddb5bb9ab4a5cc1226a9608b46a2f1e9197e08a6d48b43fe3c4bd1ebaf224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4225",
    "kind": "arxiv",
    "version": 1
  }
}