Pith Number

pith:E72YPFOQ

pith:2015:E72YPFOQKW7TWO7PMEAZ4P4BOP

not attested not anchored not stored refs pending

Quantitative uniform propagation of chaos for Maxwell molecules

Joaquin Fontbona, Roberto Cortez

arxiv:1512.09308 v3 · 2015-12-31 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E72YPFOQKW7TWO7PMEAZ4P4BOP}

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	2026-05-18T00:27:22.467853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f58795d055bf3b3bef61019e3f8173f1a5c6404b33da6f1d2ed67600e7a5d6

Aliases

arxiv: 1512.09308 · arxiv_version: 1512.09308v3 · doi: 10.48550/arxiv.1512.09308 · pith_short_12: E72YPFOQKW7T · pith_short_16: E72YPFOQKW7TWO7P · pith_short_8: E72YPFOQ

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/E72YPFOQKW7TWO7PMEAZ4P4BOP \
  | 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: 27f58795d055bf3b3bef61019e3f8173f1a5c6404b33da6f1d2ed67600e7a5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a472ee26e96b1f617882b8b3f4b82324e12dc03d6ae4c2d8b87689c2c4f043",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-31T15:33:00Z",
    "title_canon_sha256": "7a96588989e782ed6f14cf6fc5eb64cd2237273cc1770f8667d8721a4de8dc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09308",
    "kind": "arxiv",
    "version": 3
  }
}