Pith Number

pith:VFV7QCGB

pith:2026:VFV7QCGBXPO4DSSEC5BESV2MTW

not attested not anchored not stored refs pending

The Homogeneous Landau Equation with Regularised Thermal Noise

Manh Hong Duong, Zhengyan Wu, Zihui He

arxiv:2607.22329 v1 · 2026-07-24 · math.AP · 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{VFV7QCGBXPO4DSSEC5BESV2MTW}

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	2026-07-27T01:21:03.131492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96bf808c1bbddc1ca44174249574c9da7070a78e2385b187881f9aeeefe0286

Aliases

arxiv: 2607.22329 · arxiv_version: 2607.22329v1 · doi: 10.48550/arxiv.2607.22329 · pith_short_12: VFV7QCGBXPO4 · pith_short_16: VFV7QCGBXPO4DSSE · pith_short_8: VFV7QCGB

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/VFV7QCGBXPO4DSSEC5BESV2MTW \
  | 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: a96bf808c1bbddc1ca44174249574c9da7070a78e2385b187881f9aeeefe0286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185c85ec177e127a72bb866bfa2989f83c190483f11d08a3548f3fe6a33fb9e0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-24T14:07:55Z",
    "title_canon_sha256": "dcfd4ec60b082fd74f012a336408da1f04ed875b8819968a0ac18dc9112e944f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22329",
    "kind": "arxiv",
    "version": 1
  }
}