Pith Number

pith:GK7HCQMH

pith:2005:GK7HCQMHWEMLVVNN6IJNHGDA2V

not attested not anchored not stored refs pending

The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field

Michael K.-H. Kiessling, Palermo), Piscataway, Valeria Ricci (Marseille, Yves Elskens

arxiv:math-ph/0506078 v2 · 2005-06-30 · 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{GK7HCQMHWEMLVVNN6IJNHGDA2V}

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	2026-05-18T02:54:31.132603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32be714187b118bad5adf212d39860d5644a50c48186133d0fadcbb84d9087d4

Aliases

arxiv: math-ph/0506078 · arxiv_version: math-ph/0506078v2 · doi: 10.48550/arxiv.math-ph/0506078 · pith_short_12: GK7HCQMHWEML · pith_short_16: GK7HCQMHWEMLVVNN · pith_short_8: GK7HCQMH

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/GK7HCQMHWEMLVVNN6IJNHGDA2V \
  | 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: 32be714187b118bad5adf212d39860d5644a50c48186133d0fadcbb84d9087d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670d93c6950df85f128c2a4e07c1f113ac6ec9a9e4b2cbcd36d747ddb6cded20",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-30T19:22:17Z",
    "title_canon_sha256": "3b245065cfec51ce711e15d5a0749f3eba160048c4c11de4a4016f99d4f6a1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506078",
    "kind": "arxiv",
    "version": 2
  }
}