Pith Number

pith:ZU6T2CLF

pith:2025:ZU6T2CLFJ7Q6OFFHGIJKK3W6BH

not attested not anchored not stored refs pending

From Kac particles to the Landau equation with hard potentials: BBGKY hierarchy method

Shuchen Guo

arxiv:2508.10697 v1 · 2025-08-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU6T2CLFJ7Q6OFFHGIJKK3W6BH}

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	2026-07-05T11:54:01.015332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3d3d09654fe1e714a73212a56ede09de938ec6d849b2b7eadd5ae3b6cdc3d0

Aliases

arxiv: 2508.10697 · arxiv_version: 2508.10697v1 · doi: 10.48550/arxiv.2508.10697 · pith_short_12: ZU6T2CLFJ7Q6 · pith_short_16: ZU6T2CLFJ7Q6OFFH · pith_short_8: ZU6T2CLF

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/ZU6T2CLFJ7Q6OFFHGIJKK3W6BH \
  | 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: cd3d3d09654fe1e714a73212a56ede09de938ec6d849b2b7eadd5ae3b6cdc3d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca84d5dff62e769ef251481ee872102abae6f4619b0d32a66f98f172a4d7d5b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-14T14:39:04Z",
    "title_canon_sha256": "7fe496d4142b643cbd5030651eed3f2d4f521fc13ade31065ada8c0b50fc3dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10697",
    "kind": "arxiv",
    "version": 1
  }
}