Pith Number

pith:O3AY3JOT

pith:2020:O3AY3JOTSKKRLLPFWXP2GCFCTB

not attested not anchored not stored refs pending

On the Random Batch Method for second order interacting particle systems

Lei Li, Shi Jin, Yiqun Sun

arxiv:2011.10778 v1 · 2020-11-21 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3AY3JOTSKKRLLPFWXP2GCFCTB}

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	2026-07-05T01:56:16.097673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c18da5d3929515ade5b5dfa308a2987bfeb08287ba690188393b53ce559446

Aliases

arxiv: 2011.10778 · arxiv_version: 2011.10778v1 · doi: 10.48550/arxiv.2011.10778 · pith_short_12: O3AY3JOTSKKR · pith_short_16: O3AY3JOTSKKRLLPF · pith_short_8: O3AY3JOT

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/O3AY3JOTSKKRLLPFWXP2GCFCTB \
  | 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: 76c18da5d3929515ade5b5dfa308a2987bfeb08287ba690188393b53ce559446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef567eed86b08e98487441ab7aed8c2eabb19feba02093fe6cd745615818bc0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-11-21T11:48:07Z",
    "title_canon_sha256": "60cd1769d21dad267a90c6a85fe576a4449ef6f0684ceac137774ef2589b04d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10778",
    "kind": "arxiv",
    "version": 1
  }
}