Pith Number

pith:54FPNNMN

pith:2026:54FPNNMNPZ4CSBU36KDGBTARBO

not attested not anchored not stored refs pending

Kolmogorov equations for stochastic convective Brinkman-Forchheimer equations forced by L\'evy Noise and its application to infinite horizon problems

Manil T. Mohan, Sagar Gautam

arxiv:2606.27324 v1 · 2026-06-25 · 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{54FPNNMNPZ4CSBU36KDGBTARBO}

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	2026-06-26T01:16:18.685042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0af6b58d7e7829069bf28660cc110baa9165b4d6b429acdc7d2f4f4e31af86

Aliases

arxiv: 2606.27324 · arxiv_version: 2606.27324v1 · doi: 10.48550/arxiv.2606.27324 · pith_short_12: 54FPNNMNPZ4C · pith_short_16: 54FPNNMNPZ4CSBU3 · pith_short_8: 54FPNNMN

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/54FPNNMNPZ4CSBU36KDGBTARBO \
  | 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: ef0af6b58d7e7829069bf28660cc110baa9165b4d6b429acdc7d2f4f4e31af86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4486c0ce9346e1c6422b0ea20570a36293e77a5dd4a011e094ff664573f019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-25T17:36:12Z",
    "title_canon_sha256": "4c74567550ffbd96ad8da9aabf95c0b6c5dc7413e5ff59d40178790a2d32ab8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27324",
    "kind": "arxiv",
    "version": 1
  }
}