Pith Number

pith:3XB2CLR5

pith:2016:3XB2CLR5DMERN6CPJYAHLEISJ5

not attested not anchored not stored refs pending

Propagation of Chaos and Poisson Hypothesis

Alexander Rybko, Alexander Vladimirov, Senya Shlosman, Serge Pirogov

arxiv:1610.08492 v1 · 2016-10-26 · 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{3XB2CLR5DMERN6CPJYAHLEISJ5}

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	2026-05-18T01:01:09.273151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc3a12e3d1b0916f84f4e007591124f44df9806c75d5dc05be4c1a29f95ab53

Aliases

arxiv: 1610.08492 · arxiv_version: 1610.08492v1 · doi: 10.48550/arxiv.1610.08492 · pith_short_12: 3XB2CLR5DMER · pith_short_16: 3XB2CLR5DMERN6CP · pith_short_8: 3XB2CLR5

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/3XB2CLR5DMERN6CPJYAHLEISJ5 \
  | 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: ddc3a12e3d1b0916f84f4e007591124f44df9806c75d5dc05be4c1a29f95ab53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96883ba57a9f40c667fb4a00bdca02ea2e15781799b3ec1985dbd8950e4b92c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-26T19:53:07Z",
    "title_canon_sha256": "5fa70ae1443d76997887635ad279b92f34faeb85d35962c0ce2b20f3ba4f52f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08492",
    "kind": "arxiv",
    "version": 1
  }
}