Pith Number

pith:LQV6K3KO

pith:2011:LQV6K3KOHYXCRFCIC7IKP3CLMR

not attested not anchored not stored refs pending

Mean-Field Backward Stochastic Volterra Integral Equations

Jiongmin Yong, Tianxiao Wang, Yufeng Shi

arxiv:1104.4725 v2 · 2011-04-25 · math.PR · cs.SY · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQV6K3KOHYXCRFCIC7IKP3CLMR}

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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

1 paper in Pith

Singular mean-field backward stochastic Volterra integral equations in infinite dimensional spaces

Receipt and verification

First computed	2026-05-18T04:18:52.910768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2be56d4e3e2e28944817d0a7ec4b647efaf642635e82e0e06c6444cb3a930a

Aliases

arxiv: 1104.4725 · arxiv_version: 1104.4725v2 · doi: 10.48550/arxiv.1104.4725 · pith_short_12: LQV6K3KOHYXC · pith_short_16: LQV6K3KOHYXCRFCI · pith_short_8: LQV6K3KO

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/LQV6K3KOHYXCRFCIC7IKP3CLMR \
  | 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: 5c2be56d4e3e2e28944817d0a7ec4b647efaf642635e82e0e06c6444cb3a930a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ab3b95c98c8ffdcfa958248e85221872220e417b884d3dab29db5b262e5c6e",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-25T14:41:51Z",
    "title_canon_sha256": "70267d3e92e47e64eb3e7d8c1c5b8763158e366f94db2adf4dbdc195261b4fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4725",
    "kind": "arxiv",
    "version": 2
  }
}