Pith Number

pith:53LOVW44

pith:2016:53LOVW44TL7MLFRBHE673VIRXJ

not attested not anchored not stored refs pending

The Limit Spectral Graph in the Semi-Classical Approximation for the Sturm-Liouville Problem With a Complex Polynomial Potential

A. A. Shkalikov, S. N. Tumanov

arxiv:1603.08905 v2 · 2016-03-29 · 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{53LOVW44TL7MLFRBHE673VIRXJ}

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	2026-05-18T01:16:54.421511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed6eadb9c9afec59621393dfdd511ba6a7ccbbd8cdf074cd2438d712b4be177

Aliases

arxiv: 1603.08905 · arxiv_version: 1603.08905v2 · doi: 10.48550/arxiv.1603.08905 · pith_short_12: 53LOVW44TL7M · pith_short_16: 53LOVW44TL7MLFRB · pith_short_8: 53LOVW44

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/53LOVW44TL7MLFRBHE673VIRXJ \
  | 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: eed6eadb9c9afec59621393dfdd511ba6a7ccbbd8cdf074cd2438d712b4be177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100facebb138ccb90c372d75862b935bcaded9b78c96c08523e18618b5d9735d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-29T19:46:08Z",
    "title_canon_sha256": "aff646f75358e3e7e58561de03c26d80d75fa202f34f8794f197267964a1c3d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08905",
    "kind": "arxiv",
    "version": 2
  }
}