Pith Number

pith:PJOLMLKF

pith:2018:PJOLMLKFRMMMKCMGGYW5FGKUYH

not attested not anchored not stored refs pending

Recursive Utility Processes, Dynamic Risk Measures and Quadratic Backward Stochastic Volterra Integral Equations

Hanxiao Wang, Jingrui Sun, Jiongmin Yong

arxiv:1810.10149 v2 · 2018-10-24 · 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{PJOLMLKFRMMMKCMGGYW5FGKUYH}

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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.

Cited by

2 papers in Pith

Backward doubly stochastic Volterra integral equations and applications to optimal control problems

New approach to optimal control of delayed stochastic Volterra integral equations

Receipt and verification

First computed	2026-07-05T00:27:57.177384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5cb62d458b18c50986362dd29954c1f89dc1b773b1c53b74a7444c9daabc4a

Aliases

arxiv: 1810.10149 · arxiv_version: 1810.10149v2 · doi: 10.48550/arxiv.1810.10149 · pith_short_12: PJOLMLKFRMMM · pith_short_16: PJOLMLKFRMMMKCMG · pith_short_8: PJOLMLKF

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/PJOLMLKFRMMMKCMGGYW5FGKUYH \
  | 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: 7a5cb62d458b18c50986362dd29954c1f89dc1b773b1c53b74a7444c9daabc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0777244b8ef3324333f8d84d83a857079eff57cb46df2f382ab42a7c4daf7b9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-24T01:49:02Z",
    "title_canon_sha256": "02a51b7b366b1bfbd58346c10513dd2ea95776ff899d93a8878e4cbe947c3e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10149",
    "kind": "arxiv",
    "version": 2
  }
}