Pith Number

pith:MDLZDIQL

pith:2014:MDLZDIQL6W2MVHPVOAIGAITJGH

not attested not anchored not stored refs pending

On the long-time integration of stochastic gradient systems

B. Leimkuhler, C. Matthews, M.V. Tretyakov

arxiv:1402.2797 v1 · 2014-02-12 · math.NA · 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{MDLZDIQL6W2MVHPVOAIGAITJGH}

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	2026-05-18T01:44:44.961859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d791a20bf5b4ca9df5701060226931ff5b644b9bb8ea19c6b033d9de8fb9c4

Aliases

arxiv: 1402.2797 · arxiv_version: 1402.2797v1 · doi: 10.48550/arxiv.1402.2797 · pith_short_12: MDLZDIQL6W2M · pith_short_16: MDLZDIQL6W2MVHPV · pith_short_8: MDLZDIQL

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/MDLZDIQL6W2MVHPVOAIGAITJGH \
  | 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: 60d791a20bf5b4ca9df5701060226931ff5b644b9bb8ea19c6b033d9de8fb9c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e81d8df74d69165bac43cca23236bbe6cdabcbd8986640b9af44f3857a919a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-02-12T12:00:03Z",
    "title_canon_sha256": "4fc39d2cbd66131f8cba2d3cd73236269cb30a1c7193d66ff566ff2e637e1fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2797",
    "kind": "arxiv",
    "version": 1
  }
}