Pith Number

pith:CAOLYVEZ

pith:2009:CAOLYVEZ3VTBU7MMYXZERSDTK4

not attested not anchored not stored refs pending

The Vlasov continuum limit for the classical microcanonical ensemble

Michael K.-H. Kiessling

arxiv:0902.2413 v2 · 2009-02-13 · 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{CAOLYVEZ3VTBU7MMYXZERSDTK4}

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	2026-05-18T02:14:47.857347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101cbc5499dd661a7d8cc5f248c8735713cff61d8dc6f19055f386bfeb3c19bc

Aliases

arxiv: 0902.2413 · arxiv_version: 0902.2413v2 · doi: 10.48550/arxiv.0902.2413 · pith_short_12: CAOLYVEZ3VTB · pith_short_16: CAOLYVEZ3VTBU7MM · pith_short_8: CAOLYVEZ

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/CAOLYVEZ3VTBU7MMYXZERSDTK4 \
  | 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: 101cbc5499dd661a7d8cc5f248c8735713cff61d8dc6f19055f386bfeb3c19bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbffbfd594aa1a1ed7ff77df8a47c2a8c84231f3bf6df0f5fe7b19112758f893",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-13T23:46:36Z",
    "title_canon_sha256": "c5504f4ff6a4e98abf06578a7d2d9564a350f472a210cacf2d94308b36b2de65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2413",
    "kind": "arxiv",
    "version": 2
  }
}