Pith Number

pith:QKFTM3RY

pith:2019:QKFTM3RYRUXJ7SZOZF6K26YKRY

not attested not anchored not stored refs pending

On Laws of Large Numbers for Systems with Mean-Field Interactions and Markovian Switching

George Yin, Son L. Nguyen, Tuan A. Hoang

arxiv:1901.05631 v1 · 2019-01-17 · 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{QKFTM3RYRUXJ7SZOZF6K26YKRY}

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	2026-05-17T23:56:06.593241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828b366e388d2e9fcb2ec97cad7b0a8e1136e90cf5aba797e0137a06243a3ec9

Aliases

arxiv: 1901.05631 · arxiv_version: 1901.05631v1 · doi: 10.48550/arxiv.1901.05631 · pith_short_12: QKFTM3RYRUXJ · pith_short_16: QKFTM3RYRUXJ7SZO · pith_short_8: QKFTM3RY

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/QKFTM3RYRUXJ7SZOZF6K26YKRY \
  | 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: 828b366e388d2e9fcb2ec97cad7b0a8e1136e90cf5aba797e0137a06243a3ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3a526944482b2fac7ef62dde3bfe135e55cdac2f7b6f4f1bfd27f0326576c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-17T05:47:02Z",
    "title_canon_sha256": "6256c7010db84d7e5d876e8dc6a07b70d052077894e1fce667a336957c428de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05631",
    "kind": "arxiv",
    "version": 1
  }
}