Pith Number

pith:XWVBUHRB

pith:2026:XWVBUHRBAMDH56QG6SPC5LIZAT

not attested not anchored not stored refs pending

Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator

Samuel L. Braunstein, Zhi-Wei Wang

arxiv:2606.03182 v1 · 2026-06-02 · math-ph · cond-mat.stat-mech · math.AP · math.MP · math.PR · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWVBUHRBAMDH56QG6SPC5LIZAT}

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	2026-06-03T01:05:34.265183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdaa1a1e2103067efa06f49e2ead1904f810c3160c7e53bab23d5df325aba44f

Aliases

arxiv: 2606.03182 · arxiv_version: 2606.03182v1 · doi: 10.48550/arxiv.2606.03182 · pith_short_12: XWVBUHRBAMDH · pith_short_16: XWVBUHRBAMDH56QG · pith_short_8: XWVBUHRB

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/XWVBUHRBAMDH56QG6SPC5LIZAT \
  | 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: bdaa1a1e2103067efa06f49e2ead1904f810c3160c7e53bab23d5df325aba44f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354a5b91d30ba32250f4091f63816a3731ba8051f7840d5ab5d3fa860eabd5b7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP",
      "math.PR",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-02T05:41:40Z",
    "title_canon_sha256": "302f35af2e31dd9aee374a1c1dc7793011a0a274d2701b073cd37249e87f5b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03182",
    "kind": "arxiv",
    "version": 1
  }
}