Pith Number

pith:Q7IXAVT5

pith:2018:Q7IXAVT5ZKDFSDBSLAQC7CSSZ6

not attested not anchored not stored refs pending

A Multi-step Scheme based on Cubic Spline for solving Backward Stochastic Differential Equations

Aleksandr Lapitckii, Long Teng, Michael G\"unther

arxiv:1809.00324 v1 · 2018-09-02 · 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{Q7IXAVT5ZKDFSDBSLAQC7CSSZ6}

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	2026-05-18T00:06:35.499975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d170567dca86590c3258202f8a52cf96c6299269b5a872c634eaa04cebf982

Aliases

arxiv: 1809.00324 · arxiv_version: 1809.00324v1 · doi: 10.48550/arxiv.1809.00324 · pith_short_12: Q7IXAVT5ZKDF · pith_short_16: Q7IXAVT5ZKDFSDBS · pith_short_8: Q7IXAVT5

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/Q7IXAVT5ZKDFSDBSLAQC7CSSZ6 \
  | 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: 87d170567dca86590c3258202f8a52cf96c6299269b5a872c634eaa04cebf982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79eea5e24813c4fabc972280eb008d6b53f63b3059c83942dad1a156d452bce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-02T10:26:23Z",
    "title_canon_sha256": "0144392cf4b006c110ec1e5584968398811c24ad6c5dc21899f4f603079a62ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00324",
    "kind": "arxiv",
    "version": 1
  }
}