Pith Number

pith:FLTI4MOB

pith:2022:FLTI4MOBV35CM6DCDIIJQMZBA3

not attested not anchored not stored refs pending

Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems

Lei Li, Shi Jin, Xuda Ye, Zhennan Zhou

arxiv:2202.04952 v4 · 2022-02-10 · 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{FLTI4MOBV35CM6DCDIIJQMZBA3}

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	2026-07-05T04:22:54.312160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ae68e31c1aefa2678621a1098332106d1a816640720e38070a22afcc251d6d4

Aliases

arxiv: 2202.04952 · arxiv_version: 2202.04952v4 · doi: 10.48550/arxiv.2202.04952 · pith_short_12: FLTI4MOBV35C · pith_short_16: FLTI4MOBV35CM6DC · pith_short_8: FLTI4MOB

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/FLTI4MOBV35CM6DCDIIJQMZBA3 \
  | 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: 2ae68e31c1aefa2678621a1098332106d1a816640720e38070a22afcc251d6d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91448f1ca8fe68d437b84e7c9c50c7998bd2dbca970339b120ae025fbac2f80f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-02-10T11:07:20Z",
    "title_canon_sha256": "26ad57f26c335d1f953311e313fcfd37d39e61e372602f072966a9e2980f7860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04952",
    "kind": "arxiv",
    "version": 4
  }
}