Pith Number

pith:PBIHT7KT

pith:2019:PBIHT7KTM3V3ZGZF3CO5FO3N3W

not attested not anchored not stored refs pending

On the Wave Turbulence Theory for the Nonlinear Schr\"odinger Equation with Random Potentials

Avy Soffer, Minh-Binh Tran, Sergey Nazarenko

arxiv:1905.06323 v1 · 2019-05-14 · math-ph · cond-mat.stat-mech · math.AP · math.MP · nlin.CD · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBIHT7KTM3V3ZGZF3CO5FO3N3W}

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	2026-05-17T23:46:06.847257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785079fd5366ebbc9b25d89dd2bb6dddb6234e7bde0f65497fed8d10023559b8

Aliases

arxiv: 1905.06323 · arxiv_version: 1905.06323v1 · doi: 10.48550/arxiv.1905.06323 · pith_short_12: PBIHT7KTM3V3 · pith_short_16: PBIHT7KTM3V3ZGZF · pith_short_8: PBIHT7KT

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/PBIHT7KTM3V3ZGZF3CO5FO3N3W \
  | 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: 785079fd5366ebbc9b25d89dd2bb6dddb6234e7bde0f65497fed8d10023559b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03e907078a30243be846e1334a54d0fd41df1869e7924025b785481a5c02d73",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP",
      "nlin.CD",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-14T12:43:43Z",
    "title_canon_sha256": "34c0f803dfa476f7a7a80a47467e2b86cb38c7ce07ffce5c532a33dc33c39c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06323",
    "kind": "arxiv",
    "version": 1
  }
}