Pith Number

pith:T34SKR7Y

pith:2015:T34SKR7YITMNJL6KEXL2JOTW6T

not attested not anchored not stored refs pending

Exponential Mixing for 3D Stochastic Primitive Equations

Jianliang Zhai, Rangrang Zhang, Zhao Dong

arxiv:1506.08514 v3 · 2015-06-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T34SKR7YITMNJL6KEXL2JOTW6T}

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	2026-05-17T23:58:31.464152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef92547f844d8d4afca25d7a4ba76f4eed25b3ce246abe53a9b76bcba504a88

Aliases

arxiv: 1506.08514 · arxiv_version: 1506.08514v3 · doi: 10.48550/arxiv.1506.08514 · pith_short_12: T34SKR7YITMN · pith_short_16: T34SKR7YITMNJL6K · pith_short_8: T34SKR7Y

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/T34SKR7YITMNJL6KEXL2JOTW6T \
  | 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: 9ef92547f844d8d4afca25d7a4ba76f4eed25b3ce246abe53a9b76bcba504a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911e472f78a742b7e192af819a4251e47b09614494498e6833eae3a69f4fc995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-29T06:08:59Z",
    "title_canon_sha256": "f3375c7659b826444be15beecbe4b90b95bb22808488bcbc3f848b6f033d82a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08514",
    "kind": "arxiv",
    "version": 3
  }
}