Pith Number

pith:QBILGDZ2

pith:2012:QBILGDZ2RJKC6GO7Y24DXABJRP

not attested not anchored not stored refs pending

From particle systems to the Landau equation: a consistency result

Alexander V. Bobylev, Chiara Saffirio, Mario Pulvirenti

arxiv:1207.5987 v1 · 2012-07-25 · math-ph · cond-mat.stat-mech · 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{QBILGDZ2RJKC6GO7Y24DXABJRP}

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	2026-05-18T03:00:59.265072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8050b30f3a8a542f19dfc6b83b80298bc7bc4e6777a213c6559d0dd091d26ef9

Aliases

arxiv: 1207.5987 · arxiv_version: 1207.5987v1 · doi: 10.48550/arxiv.1207.5987 · pith_short_12: QBILGDZ2RJKC · pith_short_16: QBILGDZ2RJKC6GO7 · pith_short_8: QBILGDZ2

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/QBILGDZ2RJKC6GO7Y24DXABJRP \
  | 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: 8050b30f3a8a542f19dfc6b83b80298bc7bc4e6777a213c6559d0dd091d26ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58cac991b0844a46bd0a301d2e87c924d48ea1525adeb8eed7367a10c8c9b65",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-25T13:32:04Z",
    "title_canon_sha256": "6e3f9b6c90019629ee3e4bbfbc0313605302d4648dd1523783cce62de53fddb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5987",
    "kind": "arxiv",
    "version": 1
  }
}