Pith Number

pith:BGQMSZB5

pith:2017:BGQMSZB5Q53XXYC6ZJ2G5LO7A5

not attested not anchored not stored refs pending

Approximations of Stochastic Navier-Stokes Equations

Shijie Shang, Tusheng Zhang

arxiv:1709.09493 v1 · 2017-09-27 · 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{BGQMSZB5Q53XXYC6ZJ2G5LO7A5}

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	2026-05-18T00:34:11.564507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a0c9643d87777be05eca746eaddf076dae3b0a040d11e80915a8d9bc813db3

Aliases

arxiv: 1709.09493 · arxiv_version: 1709.09493v1 · doi: 10.48550/arxiv.1709.09493 · pith_short_12: BGQMSZB5Q53X · pith_short_16: BGQMSZB5Q53XXYC6 · pith_short_8: BGQMSZB5

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/BGQMSZB5Q53XXYC6ZJ2G5LO7A5 \
  | 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: 09a0c9643d87777be05eca746eaddf076dae3b0a040d11e80915a8d9bc813db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2091d8bfed3e1f9b5fb5f67a6156fcb5ce6f8d90a98c5465cd24d2682bee02e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-27T13:23:47Z",
    "title_canon_sha256": "ba323e5b5d83c70f7a75ba091308a3f556f88d7088bc904fba3670a0c69a6b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09493",
    "kind": "arxiv",
    "version": 1
  }
}