Pith Number

pith:BVFB4WDF

pith:2019:BVFB4WDF4U63RXJIRD2SO3Y3KG

not attested not anchored not stored refs pending

Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations

Alex Blumenthal, Jacob Bedrossian, Samuel Punshon-Smith

arxiv:1905.03869 v1 · 2019-05-09 · math.AP · math.DS · math.PR · 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{BVFB4WDF4U63RXJIRD2SO3Y3KG}

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	2026-05-17T23:46:35.354461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4a1e5865e53db8dd2888f5276f1b51b0e5ceaac7872a3b025e853bcadfd451

Aliases

arxiv: 1905.03869 · arxiv_version: 1905.03869v1 · doi: 10.48550/arxiv.1905.03869 · pith_short_12: BVFB4WDF4U63 · pith_short_16: BVFB4WDF4U63RXJI · pith_short_8: BVFB4WDF

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/BVFB4WDF4U63RXJIRD2SO3Y3KG \
  | 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: 0d4a1e5865e53db8dd2888f5276f1b51b0e5ceaac7872a3b025e853bcadfd451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9b653530b9cd93eb0ff1b326651f40fa5fe4fb6e2c2834170777a97a95c1dc",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-09T21:46:25Z",
    "title_canon_sha256": "9994bc3ca3d4f5ed3e2dcf60c5ab5bfe2063cbbc79cf9b3749a570b9851c2d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03869",
    "kind": "arxiv",
    "version": 1
  }
}