Pith Number

pith:LIZMCY5M

pith:2018:LIZMCY5MIXLQUOM24G3HSYFXSC

not attested not anchored not stored refs pending

Backward doubly stochastic differential equations with random coefficients and quasilinear stochastic PDEs

Jiaqiang Wen, Yufeng Shi

arxiv:1810.06959 v1 · 2018-10-16 · 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{LIZMCY5MIXLQUOM24G3HSYFXSC}

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	2026-05-18T00:03:10.949054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a32c163ac45d70a399ae1b67960b79094141c27f3437aa963f4091f3836c0c8

Aliases

arxiv: 1810.06959 · arxiv_version: 1810.06959v1 · doi: 10.48550/arxiv.1810.06959 · pith_short_12: LIZMCY5MIXLQ · pith_short_16: LIZMCY5MIXLQUOM2 · pith_short_8: LIZMCY5M

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/LIZMCY5MIXLQUOM24G3HSYFXSC \
  | 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: 5a32c163ac45d70a399ae1b67960b79094141c27f3437aa963f4091f3836c0c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2c0c8a65ba394021f98dcb150bfeed22127d93ac996cae14077c1dd2134a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-16T12:48:27Z",
    "title_canon_sha256": "ab8559b14b68ba6c1998a2d4ae1bfea79840c5d1974f9e2729d770c3a9fded77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06959",
    "kind": "arxiv",
    "version": 1
  }
}