Pith Number

pith:U4TLWQJV

pith:2019:U4TLWQJV6AJ4RO2A4WANXNDAG5

not attested not anchored not stored refs pending

Extended Backward Stochastic Volterra Integral Equations, Quasilinear Parabolic Equations, and Feynman-Kac Formula

Hanxiao Wang

arxiv:1908.07168 v1 · 2019-08-20 · 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{U4TLWQJV6AJ4RO2A4WANXNDAG5}

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	2026-07-04T23:58:31.535147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a726bb4135f013c8bb40e580dbb460376da6c8b1283c3521f125aff8e8fbae73

Aliases

arxiv: 1908.07168 · arxiv_version: 1908.07168v1 · doi: 10.48550/arxiv.1908.07168 · pith_short_12: U4TLWQJV6AJ4 · pith_short_16: U4TLWQJV6AJ4RO2A · pith_short_8: U4TLWQJV

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/U4TLWQJV6AJ4RO2A4WANXNDAG5 \
  | 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: a726bb4135f013c8bb40e580dbb460376da6c8b1283c3521f125aff8e8fbae73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f2f86e835d30ebe36fdd249f45a17a70dc036e4d2780767c264e3b53e37672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-20T05:22:59Z",
    "title_canon_sha256": "e6d06a7d236972f502c63602efac11cbd9612a11da23cb42db82d7d55d04a8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07168",
    "kind": "arxiv",
    "version": 1
  }
}