Pith Number

pith:2OKD3E33

pith:2014:2OKD3E33M5I5PEA4OPTVLP6GXA

not attested not anchored not stored refs pending

Dispersion Estimates for One-Dimensional Schr\"odinger and Klein-Gordon Equations Revisited

Elena Kopylova, Gerald Teschl, Iryna Egorova, Vladimir Marchenko

arxiv:1411.0021 v2 · 2014-10-31 · math.AP · math-ph · math.MP · 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{2OKD3E33M5I5PEA4OPTVLP6GXA}

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	2026-05-18T01:11:43.912369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3943d937b6751d7901c73e755bfc6b80116fd1e525c12a9980add2be770d212

Aliases

arxiv: 1411.0021 · arxiv_version: 1411.0021v2 · doi: 10.48550/arxiv.1411.0021 · pith_short_12: 2OKD3E33M5I5 · pith_short_16: 2OKD3E33M5I5PEA4 · pith_short_8: 2OKD3E33

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/2OKD3E33M5I5PEA4OPTVLP6GXA \
  | 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: d3943d937b6751d7901c73e755bfc6b80116fd1e525c12a9980add2be770d212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcd1da63518fa1af0ce7cceb58427627afb16ba355ae4e1a9d041fdc5808a06",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-31T20:30:23Z",
    "title_canon_sha256": "cddb3959240443ab0b9f8a21345230840af9b9bebe6f5669c7e76c999442f02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0021",
    "kind": "arxiv",
    "version": 2
  }
}