Pith Number

pith:LKXPCS4R

pith:2015:LKXPCS4RV3LWJ4ZMS3RLTLN4QQ

not attested not anchored not stored refs pending

A mean field limit for the Vlasov-Poisson system

Dustin Lazarovici, Peter Pickl

arxiv:1502.04608 v6 · 2015-02-16 · math-ph · math.AP · 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{LKXPCS4RV3LWJ4ZMS3RLTLN4QQ}

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	2026-05-18T01:13:09.775530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aaef14b91aed764f32c96e2b9adbc84299d8844698ce0b9c0b27e9436f9d9d1

Aliases

arxiv: 1502.04608 · arxiv_version: 1502.04608v6 · doi: 10.48550/arxiv.1502.04608 · pith_short_12: LKXPCS4RV3LW · pith_short_16: LKXPCS4RV3LWJ4ZM · pith_short_8: LKXPCS4R

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/LKXPCS4RV3LWJ4ZMS3RLTLN4QQ \
  | 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: 5aaef14b91aed764f32c96e2b9adbc84299d8844698ce0b9c0b27e9436f9d9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ac5e1193e108bc89bddf335c367b6102e18f4933a2c4aad61c2d8b1ae10586",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-16T16:31:29Z",
    "title_canon_sha256": "a4968b0a315f16564c7f8f13d9e3cb7061039f821cb7f03fac9e638c603c9cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04608",
    "kind": "arxiv",
    "version": 6
  }
}