Pith Number

pith:JH4JQ3XH

pith:2016:JH4JQ3XHE6WBHDQDSYISOTOT7Y

not attested not anchored not stored refs pending

On the Boltzmann Equation with Stochastic Kinetic Transport: Global Existence of Renormalized Martingale Solutions

Samuel Punshon-Smith, Scott Smith

arxiv:1606.07451 v2 · 2016-06-23 · math.PR · math-ph · math.AP · 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{JH4JQ3XHE6WBHDQDSYISOTOT7Y}

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	2026-05-18T00:22:21.253948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49f8986ee727ac138e039611274dd3fe2f4a3c9f71d209f556469f1f1b9045b1

Aliases

arxiv: 1606.07451 · arxiv_version: 1606.07451v2 · doi: 10.48550/arxiv.1606.07451 · pith_short_12: JH4JQ3XHE6WB · pith_short_16: JH4JQ3XHE6WBHDQD · pith_short_8: JH4JQ3XH

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/JH4JQ3XHE6WBHDQDSYISOTOT7Y \
  | 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: 49f8986ee727ac138e039611274dd3fe2f4a3c9f71d209f556469f1f1b9045b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed90edbdee6d2f67af2874556da544dee7ac63f74360b4076322ae14fbfae1ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-23T20:00:16Z",
    "title_canon_sha256": "5483b4a527ca02296aefb1e9581e0ba36e131c42db7764063281b8f87a6d429f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07451",
    "kind": "arxiv",
    "version": 2
  }
}