Pith Number

pith:WQCZ5FF6

pith:2016:WQCZ5FF6IRABO5CTSSGTZXGMEI

not attested not anchored not stored refs pending

Functional integral derivation of the kinetic equation of two-dimensional point vortices

Christophe Pichon, Jean-Baptiste Fouvry, Pierre-Henri Chavanis

arxiv:1606.03924 v2 · 2016-06-13 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQCZ5FF6IRABO5CTSSGTZXGMEI}

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	2026-05-18T00:29:39.591065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4059e94be4440177453948d3cdccc220d8046abbf33407ff7716c7e1aa3495a

Aliases

arxiv: 1606.03924 · arxiv_version: 1606.03924v2 · doi: 10.48550/arxiv.1606.03924 · pith_short_12: WQCZ5FF6IRAB · pith_short_16: WQCZ5FF6IRABO5CT · pith_short_8: WQCZ5FF6

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/WQCZ5FF6IRABO5CTSSGTZXGMEI \
  | 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: b4059e94be4440177453948d3cdccc220d8046abbf33407ff7716c7e1aa3495a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96582e4d6cffe967fa061a3afd2adc6f68e8f5c7b93b68bba451cb67021a8f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-06-13T12:48:15Z",
    "title_canon_sha256": "9dcb60d5d5bf520d6c554e088440d2baeda1ff9851852ad1957f42dd3d7909f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03924",
    "kind": "arxiv",
    "version": 2
  }
}