Pith Number

pith:P4BJLU7K

pith:2026:P4BJLU7KQPQ6SUFC6272MU3ZPG

not attested not anchored not stored refs pending

Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm

Benjamin Zhang, Konstantinos Spiliopoulos, Qianyu Julie Zhu, Youssef Marzouk

arxiv:2606.05324 v1 · 2026-06-03 · math.NA · cs.NA · math.PR · stat.AP · stat.CO · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4BJLU7KQPQ6SUFC6272MU3ZPG}

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	2026-06-05T00:13:53.960206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0295d3ea83e1e950a2f6bfa6537979b9c43f72a95d344978c4b2fda22ccf68

Aliases

arxiv: 2606.05324 · arxiv_version: 2606.05324v1 · doi: 10.48550/arxiv.2606.05324 · pith_short_12: P4BJLU7KQPQ6 · pith_short_16: P4BJLU7KQPQ6SUFC · pith_short_8: P4BJLU7K

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/P4BJLU7KQPQ6SUFC6272MU3ZPG \
  | 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: 7f0295d3ea83e1e950a2f6bfa6537979b9c43f72a95d344978c4b2fda22ccf68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88841d516755242d022b610ff9e5121e5919d56cf3f59e40496fc4e16b45790",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR",
      "stat.AP",
      "stat.CO",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-03T18:10:12Z",
    "title_canon_sha256": "85d25534582f8ae865032d6dbd0151ce27e565985d59a5f8a8069febc2dd7081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05324",
    "kind": "arxiv",
    "version": 1
  }
}