Pith Number

pith:MHMM7LFV

pith:2018:MHMM7LFVEWX4ACVABFTV7EH5YI

not attested not anchored not stored refs pending

Semi-implicit Milstein approximation scheme for non-colliding particle systems

Duc-Trong Luong, Hoang-Long Ngo

arxiv:1808.09181 v4 · 2018-08-28 · math.PR · cs.NA · math.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{MHMM7LFVEWX4ACVABFTV7EH5YI}

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	2026-06-04T20:13:16.709593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d8cfacb525afc00aa009675f90fdc21a8d49c8e6f384002d89b33ac5f48b66

Aliases

arxiv: 1808.09181 · arxiv_version: 1808.09181v4 · doi: 10.48550/arxiv.1808.09181 · pith_short_12: MHMM7LFVEWX4 · pith_short_16: MHMM7LFVEWX4ACVA · pith_short_8: MHMM7LFV

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/MHMM7LFVEWX4ACVABFTV7EH5YI \
  | 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: 61d8cfacb525afc00aa009675f90fdc21a8d49c8e6f384002d89b33ac5f48b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4d6d77a40ced4ebc6a32bb6b9bded75a98c19734039e8146a76bb3bf4f7d39",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-28T09:03:21Z",
    "title_canon_sha256": "121f4e39ced130f623bc3e531f5839639796767334252bf25bfd82f1eae8d603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09181",
    "kind": "arxiv",
    "version": 4
  }
}