Pith Number

pith:Y5PRBW52

pith:2016:Y5PRBW52LBUFZ2QGTLKDOMJ3VM

not attested not anchored not stored refs pending

A New Class of Exponential Integrators for Stochastic Differential Equations With Multiplicative Noise

Gabriel J. Lord, Utku Erdo\u{g}an

arxiv:1608.07096 v2 · 2016-08-25 · 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{Y5PRBW52LBUFZ2QGTLKDOMJ3VM}

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	2026-05-18T01:03:42.510519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75f10dbba58685cea069ad437313bab2085075287f68b46ffb0eb32fab348d8

Aliases

arxiv: 1608.07096 · arxiv_version: 1608.07096v2 · doi: 10.48550/arxiv.1608.07096 · pith_short_12: Y5PRBW52LBUF · pith_short_16: Y5PRBW52LBUFZ2QG · pith_short_8: Y5PRBW52

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/Y5PRBW52LBUFZ2QGTLKDOMJ3VM \
  | 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: c75f10dbba58685cea069ad437313bab2085075287f68b46ffb0eb32fab348d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8fcf1e6a29b76e76ec5e6674d17ebdb66d7cc2717986291d9f785b95c32d50b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-25T11:46:40Z",
    "title_canon_sha256": "5c69ab7c2fe0e6a97e44ec8e55c9aea68595074fd5365e5788c849ed5bc185ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07096",
    "kind": "arxiv",
    "version": 2
  }
}