Pith Number

pith:WCKZ2FCO

pith:2016:WCKZ2FCOBN3REKAQAKXH6FCLZQ

not attested not anchored not stored refs pending

Propagation of Chaos and Effective Equations in Kinetic Theory: a Brief Survey

Mario Pulvirenti, Sergio Simonella

arxiv:1611.07082 v1 · 2016-11-21 · math-ph · cond-mat.stat-mech · math.AP · math.MP

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

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	2026-05-18T00:57:24.944784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0959d144e0b7712281002ae7f144bcc0451906a118ece96aa376bbea1bb93bf

Aliases

arxiv: 1611.07082 · arxiv_version: 1611.07082v1 · doi: 10.48550/arxiv.1611.07082 · pith_short_12: WCKZ2FCOBN3R · pith_short_16: WCKZ2FCOBN3REKAQ · pith_short_8: WCKZ2FCO

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/WCKZ2FCOBN3REKAQAKXH6FCLZQ \
  | 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: b0959d144e0b7712281002ae7f144bcc0451906a118ece96aa376bbea1bb93bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f8f86e7ddefb92afec9c9ff361996c5be641091c91b92da9d1fa61ced1b0ba",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-21T22:24:14Z",
    "title_canon_sha256": "e6ae344cef24ab6179063b3b8b8e18413256926f7a173e8866b814cf3e8d1ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07082",
    "kind": "arxiv",
    "version": 1
  }
}