Pith Number

pith:UWGZO2XC

pith:2010:UWGZO2XCXIUXERZO33KFUV5TBN

not attested not anchored not stored refs pending

$L^p$ Solutions of Backward Stochastic Differential Equations with Jumps

Song Yao

arxiv:1007.2226 v3 · 2010-07-13 · 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{UWGZO2XCXIUXERZO33KFUV5TBN}

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	2026-05-18T00:51:01.733353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a58d976ae2ba2972472eded45a57b30b6ce0ee164c325c95f8c66a11c8140b3f

Aliases

arxiv: 1007.2226 · arxiv_version: 1007.2226v3 · doi: 10.48550/arxiv.1007.2226 · pith_short_12: UWGZO2XCXIUX · pith_short_16: UWGZO2XCXIUXERZO · pith_short_8: UWGZO2XC

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/UWGZO2XCXIUXERZO33KFUV5TBN \
  | 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: a58d976ae2ba2972472eded45a57b30b6ce0ee164c325c95f8c66a11c8140b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5ed039fdbe180aa02c10ab984c87d197ce21bc339d37b41c40e3a9e3a99a97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-13T23:08:26Z",
    "title_canon_sha256": "2583452c5657d0b1fb49d4a6258ba5c24a1f2bf06ccff4eb9549ed225b91b6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2226",
    "kind": "arxiv",
    "version": 3
  }
}