Pith Number

pith:7KUM7PD3

pith:2015:7KUM7PD3ILYHBLANBW2KNU3WST

not attested not anchored not stored refs pending

Non-asymptotic convergence analysis for the Unadjusted Langevin Algorithm

Alain Durmus (LTCI), Eric Moulines (CMAP)

arxiv:1507.05021 v3 · 2015-07-17 · math.ST · stat.CO · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KUM7PD3ILYHBLANBW2KNU3WST}

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	2026-05-18T00:54:48.208780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa8cfbc7b42f070ac0d0db4a6d37694d7a617de8bd240f02ffd79e442ca65b9

Aliases

arxiv: 1507.05021 · arxiv_version: 1507.05021v3 · doi: 10.48550/arxiv.1507.05021 · pith_short_12: 7KUM7PD3ILYH · pith_short_16: 7KUM7PD3ILYHBLAN · pith_short_8: 7KUM7PD3

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/7KUM7PD3ILYHBLANBW2KNU3WST \
  | 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: faa8cfbc7b42f070ac0d0db4a6d37694d7a617de8bd240f02ffd79e442ca65b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43cde947c2f04747e306f583ae281e2a873d3d80d37be1dc5f6b909f2d922e3",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-17T16:23:23Z",
    "title_canon_sha256": "db44fc63d84aeed7837d01a94431bf57aedc3c33489c82bb13a19a1a0090034b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05021",
    "kind": "arxiv",
    "version": 3
  }
}