Pith Number

pith:UN5333J6

pith:2001:UN5333J6CYQOO6HCGUNWGT35IP

not attested not anchored not stored refs pending

Fractal and chaotic solutions of the discrete nonlinear Schr\"odinger equation in classical and quantum systems

Fjodor V. Kusmartsev, Harj S. Dhillon, Karl E. K\"urten

arxiv:math-ph/0101038 v1 · 2001-01-01 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UN5333J6CYQOO6HCGUNWGT35IP}

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	2026-05-18T01:38:34.532072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37bbded3e1620e778e2351b634f7d43e1013166042077575cb9fdf63ea878d3

Aliases

arxiv: math-ph/0101038 · arxiv_version: math-ph/0101038v1 · doi: 10.48550/arxiv.math-ph/0101038 · pith_short_12: UN5333J6CYQO · pith_short_16: UN5333J6CYQOO6HC · pith_short_8: UN5333J6

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/UN5333J6CYQOO6HCGUNWGT35IP \
  | 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: a37bbded3e1620e778e2351b634f7d43e1013166042077575cb9fdf63ea878d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc546131b37ddb5cc708d7480754ec18246edac2dff1f4c925c79bbfe5f4732",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-01T00:00:00Z",
    "title_canon_sha256": "9b156a3830b383d2b2f5769ebdecbfded10e5b8276d49092a7e1e2b2665ff394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101038",
    "kind": "arxiv",
    "version": 1
  }
}