Pith Number

pith:PMQJTDX2

pith:2022:PMQJTDX2TZ6ZRTF4EH3JBEG62Z

not attested not anchored not stored refs pending

Stochastic Approach to Turbulence: A Comprehensive Review

Ali Bozorg, Ali Pourjamal, Ali Poursina

arxiv:2211.12918 v1 · 2022-11-23 · physics.flu-dyn · math-ph · 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{PMQJTDX2TZ6ZRTF4EH3JBEG62Z}

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.

Cited by

1 paper in Pith

Quantum field approach to relativistic turbulence

Receipt and verification

First computed	2026-07-05T05:18:56.422904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b20998efa9e7d98ccbc21f69090ded664c6c3160fd0cd6749b260d78d9dad2d

Aliases

arxiv: 2211.12918 · arxiv_version: 2211.12918v1 · doi: 10.48550/arxiv.2211.12918 · pith_short_12: PMQJTDX2TZ6Z · pith_short_16: PMQJTDX2TZ6ZRTF4 · pith_short_8: PMQJTDX2

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/PMQJTDX2TZ6ZRTF4EH3JBEG62Z \
  | 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: 7b20998efa9e7d98ccbc21f69090ded664c6c3160fd0cd6749b260d78d9dad2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee809bccdb33819b0cd153a3640987fffa2a96a90fc8eb93aa60cb6bb2ec3a45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2022-11-23T12:41:36Z",
    "title_canon_sha256": "7608de153e1a607c65a31c174cdb1cadfc69b18c6e0f8623242d2fb572d892e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12918",
    "kind": "arxiv",
    "version": 1
  }
}