Pith Number

pith:CBORTQ4S

pith:2011:CBORTQ4SJ4RJ5UKWHLE5MXD4GS

not attested not anchored not stored refs pending

Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential

Pavel Kurasov, Sergey Simonov

arxiv:1102.5213 v1 · 2011-02-25 · 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{CBORTQ4SJ4RJ5UKWHLE5MXD4GS}

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	2026-05-18T04:27:55.951228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105d19c3924f229ed1563ac9d65c7c34a9a15e92e719d4a1f72ac1eb44c041f9

Aliases

arxiv: 1102.5213 · arxiv_version: 1102.5213v1 · doi: 10.48550/arxiv.1102.5213 · pith_short_12: CBORTQ4SJ4RJ · pith_short_16: CBORTQ4SJ4RJ5UKW · pith_short_8: CBORTQ4S

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/CBORTQ4SJ4RJ5UKWHLE5MXD4GS \
  | 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: 105d19c3924f229ed1563ac9d65c7c34a9a15e92e719d4a1f72ac1eb44c041f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c9a9bc928b76d8298fe2400b5e95a729eff9ad4c5299d8ca090300abf3eef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-25T11:14:15Z",
    "title_canon_sha256": "abc320d8952f2bca432b9e76ba25864f3c56a36f28e28f0bb8ed764295b1c17a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5213",
    "kind": "arxiv",
    "version": 1
  }
}