Pith Number

pith:IOQJZZ4F

pith:2025:IOQJZZ4FPWFJU6NTB2K7N2P4JC

not attested not anchored not stored refs pending

Mixing at the Batchelor Scale for White-In-Time Flows

Dennis Chemnitz, Robin Chemnitz

arxiv:2512.04297 v2 · 2025-12-03 · math.PR · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOQJZZ4FPWFJU6NTB2K7N2P4JC}

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	2026-06-09T02:08:35.614989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a09ce7857d8a9a79b30e95f6e9fc489f9300a9366bc4a7d297b99aa1ced14d

Aliases

arxiv: 2512.04297 · arxiv_version: 2512.04297v2 · doi: 10.48550/arxiv.2512.04297 · pith_short_12: IOQJZZ4FPWFJ · pith_short_16: IOQJZZ4FPWFJU6NT · pith_short_8: IOQJZZ4F

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/IOQJZZ4FPWFJU6NTB2K7N2P4JC \
  | 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: 43a09ce7857d8a9a79b30e95f6e9fc489f9300a9366bc4a7d297b99aa1ced14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873e680e4211efeacf1f03a445b60d9b1d3d2d11046cd737864c84ba9eaee968",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-03T22:19:09Z",
    "title_canon_sha256": "a7773b37390eab00c44da853c08480c073f895d7321c7735c652291d2ece9e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.04297",
    "kind": "arxiv",
    "version": 2
  }
}