Pith Number

pith:GNJCM2OR

pith:2016:GNJCM2ORSPZGGFICZOJ24OS7MY

not attested not anchored not stored refs pending

Rough flows and homogenization in stochastic turbulence

I. Bailleul, R. Catellier

arxiv:1601.01902 v2 · 2016-01-08 · math.PR · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNJCM2ORSPZGGFICZOJ24OS7MY}

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	2026-05-18T01:02:56.612743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33522669d193f2631502cb93ae3a5f663ca112591c355a8c5f09374582a3f620

Aliases

arxiv: 1601.01902 · arxiv_version: 1601.01902v2 · doi: 10.48550/arxiv.1601.01902 · pith_short_12: GNJCM2ORSPZG · pith_short_16: GNJCM2ORSPZGGFIC · pith_short_8: GNJCM2OR

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/GNJCM2ORSPZGGFICZOJ24OS7MY \
  | 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: 33522669d193f2631502cb93ae3a5f663ca112591c355a8c5f09374582a3f620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4272061f3028da1e0e1a8c1c7cee6fa2d437c26b7aeaa063edfc1acdabce07fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-08T15:18:50Z",
    "title_canon_sha256": "bdc11348f8b8a6f2749552fb9a72902b144e2ee50e693eb35a1dfa27be942e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01902",
    "kind": "arxiv",
    "version": 2
  }
}