Pith Number

pith:HAPDPPMW

pith:2025:HAPDPPMWNHFILVYIPTVY3G3TEV

not attested not anchored not stored refs pending

Explicit Runge-Kutta schemes for Backward Stochastic Differential Equations

Shuixin Fang, Weidong Zhao, Yue Qiu

arxiv:2508.18707 v3 · 2025-08-26 · math.NA · cs.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{HAPDPPMWNHFILVYIPTVY3G3TEV}

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	2026-05-26T01:03:14.793018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381e37bd9669ca85d7087ceb8d9b732543ea9b1ddf4b25461a69f9cc2cf585a3

Aliases

arxiv: 2508.18707 · arxiv_version: 2508.18707v3 · doi: 10.48550/arxiv.2508.18707 · pith_short_12: HAPDPPMWNHFI · pith_short_16: HAPDPPMWNHFILVYI · pith_short_8: HAPDPPMW

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/HAPDPPMWNHFILVYIPTVY3G3TEV \
  | 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: 381e37bd9669ca85d7087ceb8d9b732543ea9b1ddf4b25461a69f9cc2cf585a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2c9d3611d7f94fab95933fcd4de89f5a091c2726e9f3f3034449ae86b51590",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-26T06:14:50Z",
    "title_canon_sha256": "11b4c70e2bbc0a721a3127596f1eb3a76868ba67c4b700d7ae29b7ea1292dd03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18707",
    "kind": "arxiv",
    "version": 3
  }
}