Pith Number

pith:WYZSB3HZ

pith:2016:WYZSB3HZSM4IXUU6ZTVAU5K33R

not attested not anchored not stored refs pending

The Decomposition Formula and Stationary Measures for Stochastic Lotka-Volterra Systems with Applications to Turbulent Convection

Jianliang Zhai, Jifa Jiang, Lei Niu, Lifeng Chen, Zhao Dong

arxiv:1603.00340 v1 · 2016-03-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYZSB3HZSM4IXUU6ZTVAU5K33R}

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	2026-05-18T01:19:45.313392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63320ecf993388bd29eccea0a755bdc759bb5755cf907d7e1c7b8a66e33899c

Aliases

arxiv: 1603.00340 · arxiv_version: 1603.00340v1 · doi: 10.48550/arxiv.1603.00340 · pith_short_12: WYZSB3HZSM4I · pith_short_16: WYZSB3HZSM4IXUU6 · pith_short_8: WYZSB3HZ

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/WYZSB3HZSM4IXUU6ZTVAU5K33R \
  | 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: b63320ecf993388bd29eccea0a755bdc759bb5755cf907d7e1c7b8a66e33899c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b9c66b8bb11b3efd7b5acc479f071d9539a9e16df7d23a29ad2ac98abd3ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-01T16:11:54Z",
    "title_canon_sha256": "66054c23cb1d96970e80328febbf40427b53dc768612c64d1be4e0767bf37381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00340",
    "kind": "arxiv",
    "version": 1
  }
}