Pith Number

pith:HAT7V665

pith:2021:HAT7V665MWEXSDVY5YUISN6SBR

not attested not anchored not stored refs pending

Diffusion limit of the Vlasov equation in the weak turbulent regime

Claude Bardos, Nicolas Besse

arxiv:2110.05914 v1 · 2021-10-12 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAT7V665MWEXSDVY5YUISN6SBR}

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	2026-07-05T03:22:08.393973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3827fafbdd6589790eb8ee288937d20c64ec7811fd8dd405e508d8ef8c5d9518

Aliases

arxiv: 2110.05914 · arxiv_version: 2110.05914v1 · doi: 10.48550/arxiv.2110.05914 · pith_short_12: HAT7V665MWEX · pith_short_16: HAT7V665MWEXSDVY · pith_short_8: HAT7V665

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/HAT7V665MWEXSDVY5YUISN6SBR \
  | 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: 3827fafbdd6589790eb8ee288937d20c64ec7811fd8dd405e508d8ef8c5d9518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f4d1544be5472ba459928a83ce3ebc176474f05dc843dc7ceef891267883e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-12T11:54:00Z",
    "title_canon_sha256": "a01f1bc7bf499c126e3df0df2f4af6487a57fc2a7ac22310790b3dec760c8c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05914",
    "kind": "arxiv",
    "version": 1
  }
}