Pith Number

pith:WTSKRTUU

pith:2010:WTSKRTUUY47DZDLQBKFAA5U74S

not attested not anchored not stored refs pending

Multivalued stochastic partial differential-integral equations via backward doubly stochastic differential equations driven by a L\'evy process

Auguste Aman, Yon Ren

arxiv:1011.3060 v2 · 2010-11-12 · 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{WTSKRTUUY47DZDLQBKFAA5U74S}

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	2026-05-18T04:16:22.870078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e4a8ce94c73e3c8d700a8a00769fe4a033e436a835262b1c941b5652874d27

Aliases

arxiv: 1011.3060 · arxiv_version: 1011.3060v2 · doi: 10.48550/arxiv.1011.3060 · pith_short_12: WTSKRTUUY47D · pith_short_16: WTSKRTUUY47DZDLQ · pith_short_8: WTSKRTUU

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/WTSKRTUUY47DZDLQBKFAA5U74S \
  | 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: b4e4a8ce94c73e3c8d700a8a00769fe4a033e436a835262b1c941b5652874d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e20fcee79a0bce1e2062b5642b808f5e49b651706a67a023dfed9690944227",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-12T21:59:14Z",
    "title_canon_sha256": "51cf1609fb9f57ad92dd9a711c6961c17cd05b00e9b2e1845596821ef4a26866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3060",
    "kind": "arxiv",
    "version": 2
  }
}