Pith Number

pith:4LZH5THZ

pith:2013:4LZH5THZG3OQUU6C54JJPMQOFY

not attested not anchored not stored refs pending

Numerical verification of random phase-and-amplitude formalism of weak turbulence

Mitsuhiro Tanaka, Naoto Yokoyama

arxiv:1306.5518 v1 · 2013-06-24 · nlin.CD · 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{4LZH5THZG3OQUU6C54JJPMQOFY}

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	2026-05-18T03:02:20.904122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f27eccf936dd0a53c2ef1297b20e2e15210584ad12968b7a3e9f610de647fe

Aliases

arxiv: 1306.5518 · arxiv_version: 1306.5518v1 · doi: 10.48550/arxiv.1306.5518 · pith_short_12: 4LZH5THZG3OQ · pith_short_16: 4LZH5THZG3OQUU6C · pith_short_8: 4LZH5THZ

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/4LZH5THZG3OQUU6C54JJPMQOFY \
  | 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: e2f27eccf936dd0a53c2ef1297b20e2e15210584ad12968b7a3e9f610de647fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76d0342d066643252a1d2db1f4145bd19d18300566023258a4dd527b491f88e",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-06-24T06:55:00Z",
    "title_canon_sha256": "e9bd2e0612cc30972c63b670f3ae49e65e2ebd5c63454790f450c0c9fa5a3c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5518",
    "kind": "arxiv",
    "version": 1
  }
}