Pith Number

pith:IIPFQ4LY

pith:2012:IIPFQ4LYENC4YXOSETYMNHOMKF

not attested not anchored not stored refs pending

Speed of convergence to equilibrium in Wasserstein metrics for Kac-s like kinetic equations

Eleonora Perversi, Federico Bassetti

arxiv:1205.3690 v2 · 2012-05-16 · math.PR · 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{IIPFQ4LYENC4YXOSETYMNHOMKF}

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	2026-05-18T03:42:44.332486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421e5871782345cc5dd224f0c69dcc51703217cbf5f925b2f2a3fa6faeb59138

Aliases

arxiv: 1205.3690 · arxiv_version: 1205.3690v2 · doi: 10.48550/arxiv.1205.3690 · pith_short_12: IIPFQ4LYENC4 · pith_short_16: IIPFQ4LYENC4YXOS · pith_short_8: IIPFQ4LY

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/IIPFQ4LYENC4YXOSETYMNHOMKF \
  | 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: 421e5871782345cc5dd224f0c69dcc51703217cbf5f925b2f2a3fa6faeb59138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e7a36442e77d25adf07e08f38644ebe814eeb065c320b0a382c74a539c0287",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-16T14:43:48Z",
    "title_canon_sha256": "2507184e6adb359fc7459a094f768c4eff7d685b2212074e4946f1dfc1f44ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3690",
    "kind": "arxiv",
    "version": 2
  }
}