Pith Number

pith:ILUZUR65

pith:2015:ILUZUR65FBXWPV7WMAWT2DUKCK

not attested not anchored not stored refs pending

Anticipating backward stochastic Volterra integral equations

Jiaqiang Wen, Yufeng Shi

arxiv:1503.06427 v3 · 2015-03-22 · 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{ILUZUR65FBXWPV7WMAWT2DUKCK}

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	2026-05-18T01:13:21.201971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7

Aliases

arxiv: 1503.06427 · arxiv_version: 1503.06427v3 · doi: 10.48550/arxiv.1503.06427 · pith_short_12: ILUZUR65FBXW · pith_short_16: ILUZUR65FBXWPV7W · pith_short_8: ILUZUR65

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/ILUZUR65FBXWPV7WMAWT2DUKCK \
  | 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: 42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bd43ca249e1d284f23f60be77dd785b119061a20198413492b686fda8651b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-22T13:51:31Z",
    "title_canon_sha256": "1260f8dffc4501e7dc75f14db2640dcde34a70a11656b3f766e9746755dfac5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06427",
    "kind": "arxiv",
    "version": 3
  }
}