Pith Number

pith:YHSZPNR4

pith:2013:YHSZPNR4YDW56SCPKI5KQSYATD

not attested not anchored not stored refs pending

Propagation of chaos for the thermostatted Kac master equation

Bernt Wennberg, Dawan Mustafa, Eric Carlen

arxiv:1312.4301 v2 · 2013-12-16 · 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{YHSZPNR4YDW56SCPKI5KQSYATD}

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	2026-05-18T01:45:50.321289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e597b63cc0eddf484f523aa84b0098ff86a75736b586fffec4714098ad8f67

Aliases

arxiv: 1312.4301 · arxiv_version: 1312.4301v2 · doi: 10.48550/arxiv.1312.4301 · pith_short_12: YHSZPNR4YDW5 · pith_short_16: YHSZPNR4YDW56SCP · pith_short_8: YHSZPNR4

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/YHSZPNR4YDW56SCPKI5KQSYATD \
  | 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: c1e597b63cc0eddf484f523aa84b0098ff86a75736b586fffec4714098ad8f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c985e135c61665fd42afb3f99a1e60009818037d17c5eb572299921f97d6d1d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-16T10:44:48Z",
    "title_canon_sha256": "3a94e31ab35295c9108c70ea945e0f26f7d044f01f1e7593a8bccf01e5b28667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4301",
    "kind": "arxiv",
    "version": 2
  }
}