Pith Number

pith:RGT4UCJV

pith:2011:RGT4UCJVENDNZJ5GIAOWAETTKP

not attested not anchored not stored refs pending

A generalized nonlinear Schr\"odinger equation as model for turbulence, collapse, and inverse cascade

Dian Zhao, M. Y. Yu

arxiv:1101.3040 v2 · 2011-01-16 · physics.plasm-ph · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGT4UCJVENDNZJ5GIAOWAETTKP}

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	2026-05-18T02:03:39.574077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a7ca09352346dca7a6401d60127353d609fa4c9a8f49ef14959f9a1e523a0f

Aliases

arxiv: 1101.3040 · arxiv_version: 1101.3040v2 · doi: 10.48550/arxiv.1101.3040 · pith_short_12: RGT4UCJVENDN · pith_short_16: RGT4UCJVENDNZJ5G · pith_short_8: RGT4UCJV

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/RGT4UCJVENDNZJ5GIAOWAETTKP \
  | 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: 89a7ca09352346dca7a6401d60127353d609fa4c9a8f49ef14959f9a1e523a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17878abf6f740ddaa043b660c1355f4c2a7cd19de5b2219e9e2287a161f2c2a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2011-01-16T01:59:26Z",
    "title_canon_sha256": "d286c4b39baf9a8ee7fb624a7c945281d6a4ff7cef229451a6df4e27e627d5f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3040",
    "kind": "arxiv",
    "version": 2
  }
}