Pith Number

pith:FNAX7C2F

pith:2024:FNAX7C2FE7EWZZMCIRTMSU6CIM

not attested not anchored not stored refs pending

Closed-form solutions of the nonlinear Schr\"odinger equation with arbitrary dispersion and potential

Andrei D. Polyanin, Nikolay A. Kudryashov

arxiv:2411.13713 v2 · 2024-11-20 · nlin.SI · 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{FNAX7C2FE7EWZZMCIRTMSU6CIM}

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	2026-07-05T09:43:11.791751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b417f8b4527c96ce5824466c953c2433a0154e48fb339bf1cd9b1e2762dc652

Aliases

arxiv: 2411.13713 · arxiv_version: 2411.13713v2 · doi: 10.48550/arxiv.2411.13713 · pith_short_12: FNAX7C2FE7EW · pith_short_16: FNAX7C2FE7EWZZMC · pith_short_8: FNAX7C2F

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/FNAX7C2FE7EWZZMCIRTMSU6CIM \
  | 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: 2b417f8b4527c96ce5824466c953c2433a0154e48fb339bf1cd9b1e2762dc652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37d40e6e994b20b48d3a3fed13e43d3902ea9bf8cf830c6469f26b49f7b98d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2024-11-20T21:17:23Z",
    "title_canon_sha256": "a7d10587e1016d491f0edd4783a54d3eafb6eab0f8ac84ae9c064d2f60d5c18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13713",
    "kind": "arxiv",
    "version": 2
  }
}