Pith Number

pith:5EHC32IM

pith:2011:5EHC32IMLVKDNZSNLE72WIYD5J

not attested not anchored not stored refs pending

Mean-Field Backward Doubly Stochastic Differential Equations and Applications

Qingfeng Zhu, Tianxiao Wang, Yufeng Shi

arxiv:1108.5590 v1 · 2011-08-29 · 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{5EHC32IMLVKDNZSNLE72WIYD5J}

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	2026-05-18T04:14:37.206804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90e2de90c5d5436e64d593fab2303ea5aadc536d4c19b395a2794dc026caeab

Aliases

arxiv: 1108.5590 · arxiv_version: 1108.5590v1 · doi: 10.48550/arxiv.1108.5590 · pith_short_12: 5EHC32IMLVKD · pith_short_16: 5EHC32IMLVKDNZSN · pith_short_8: 5EHC32IM

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/5EHC32IMLVKDNZSNLE72WIYD5J \
  | 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: e90e2de90c5d5436e64d593fab2303ea5aadc536d4c19b395a2794dc026caeab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f409379944270942ff099b578144b7bb1117c16a800077818dec1b86bf8ca2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-29T14:59:29Z",
    "title_canon_sha256": "6107ac3b518f7b3e0fea8f71b7017f0cfcb2444d2b7f0ef24e90d6b89f6cda50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5590",
    "kind": "arxiv",
    "version": 1
  }
}