Pith Number

pith:5NWZ6PE2

pith:2005:5NWZ6PE2KKQN6KCGJAEMWZ3OPT

not attested not anchored not stored refs pending

The Initial Value Problem, Scattering and Inverse Scattering, for Non-Linear Schr\"odinger Equations with a Potential and a Non-Local Non-Linearity

Mar\'ia de los \'Angeles Sandoval Romero, Ricardo Weder

arxiv:math-ph/0512004 v1 · 2005-12-01 · math-ph · math.AP · 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{5NWZ6PE2KKQN6KCGJAEMWZ3OPT}

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	2026-07-05T01:04:57.694912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6d9f3c9a52a0df28464808cb676e7cf43877e77d6d922eacf0722c692b46b3

Aliases

arxiv: math-ph/0512004 · arxiv_version: math-ph/0512004v1 · doi: 10.48550/arxiv.math-ph/0512004 · pith_short_12: 5NWZ6PE2KKQN · pith_short_16: 5NWZ6PE2KKQN6KCG · pith_short_8: 5NWZ6PE2

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/5NWZ6PE2KKQN6KCGJAEMWZ3OPT \
  | 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: eb6d9f3c9a52a0df28464808cb676e7cf43877e77d6d922eacf0722c692b46b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8786cc36920e835023b25864cef786872612a1722f633d0ea17419ade14c12",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-12-01T22:35:40Z",
    "title_canon_sha256": "0057bf86175ecd05eb621a6de7f68edac448b22f7c07179874f77fd1dde813ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0512004",
    "kind": "arxiv",
    "version": 1
  }
}