Pith Number

pith:KOOEDF4R

pith:2010:KOOEDF4RDL7DY2JNRKM5VAH2JW

not attested not anchored not stored refs pending

Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schr\"odinger equations

Philipp Bader, Sergio Blanes

arxiv:1007.3470 v2 · 2010-07-20 · math.NA · cond-mat.other · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOOEDF4RDL7DY2JNRKM5VAH2JW}

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	2026-05-18T04:23:21.226165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539c4197911afe3c692d8a99da80fa4d9c740a911985f4597193d2a27dc34597

Aliases

arxiv: 1007.3470 · arxiv_version: 1007.3470v2 · doi: 10.48550/arxiv.1007.3470 · pith_short_12: KOOEDF4RDL7D · pith_short_16: KOOEDF4RDL7DY2JN · pith_short_8: KOOEDF4R

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/KOOEDF4RDL7DY2JNRKM5VAH2JW \
  | 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: 539c4197911afe3c692d8a99da80fa4d9c740a911985f4597193d2a27dc34597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1a15391714ec74e9a7959153aa624eca05b0a5bbe96a89dbb42a7fa57d9ed5",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-07-20T17:51:16Z",
    "title_canon_sha256": "33af22939864640e8c45555a0430fb7d60bb645ed8dbb0f96d6553d36442070c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3470",
    "kind": "arxiv",
    "version": 2
  }
}