Pith Number

pith:OMNF5IVP

pith:2016:OMNF5IVPOFL2ZQEV7Y66UDDNQO

not attested not anchored not stored refs pending

Backward stochastic differential equations with Young drift

Jianfeng Zhang, Joscha Diehl

arxiv:1610.03719 v1 · 2016-10-12 · 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{OMNF5IVPOFL2ZQEV7Y66UDDNQO}

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	2026-05-18T01:02:29.445075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731a5ea2af7157acc095fe3dea0c6d839a6f4442adab64d887657a8c2321ac47

Aliases

arxiv: 1610.03719 · arxiv_version: 1610.03719v1 · doi: 10.48550/arxiv.1610.03719 · pith_short_12: OMNF5IVPOFL2 · pith_short_16: OMNF5IVPOFL2ZQEV · pith_short_8: OMNF5IVP

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/OMNF5IVPOFL2ZQEV7Y66UDDNQO \
  | 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: 731a5ea2af7157acc095fe3dea0c6d839a6f4442adab64d887657a8c2321ac47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad2687abd79d794b64a19ab77d8eb4d46293e33ed729251fe0e735233652cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-12T14:12:23Z",
    "title_canon_sha256": "a0c5146f25e37342d1dd3677aefc814784782900a5b4799703d803f42134714a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03719",
    "kind": "arxiv",
    "version": 1
  }
}