Pith Number

pith:RBJVDPUK

pith:2011:RBJVDPUK6LON4KQL2ER662MYPJ

not attested not anchored not stored refs pending

Semi-linear Degenerate Backward Stochastic Partial Differential Equations and Associated Forward Backward Stochastic Differential Equations

Kai Du, Qi Zhang

arxiv:1109.0672 v1 · 2011-09-04 · 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{RBJVDPUK6LON4KQL2ER662MYPJ}

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	2026-05-18T04:14:07.075045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

885351be8af2dcde2a0bd123ef69987a72380803dbcb6edd6084464071be09ab

Aliases

arxiv: 1109.0672 · arxiv_version: 1109.0672v1 · doi: 10.48550/arxiv.1109.0672 · pith_short_12: RBJVDPUK6LON · pith_short_16: RBJVDPUK6LON4KQL · pith_short_8: RBJVDPUK

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/RBJVDPUK6LON4KQL2ER662MYPJ \
  | 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: 885351be8af2dcde2a0bd123ef69987a72380803dbcb6edd6084464071be09ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e9c249bbf2abdd01b2489b6ea820725c5576d4237f3828d67903c7a63ee377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-04T05:26:11Z",
    "title_canon_sha256": "1fe48ff7da3e3a317daac9dbc6a7373704bd23004a986f5603188c7d58ffdfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0672",
    "kind": "arxiv",
    "version": 1
  }
}