Pith Number

pith:EM22CYQ5

pith:2024:EM22CYQ5BAQZV623FLNXW73JJZ

not attested not anchored not stored refs pending

Ito's formula for flows of conditional measures on semimartingales

Jiacheng Zhang, Xin Guo

arxiv:2404.11167 v3 · 2024-04-17 · 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{EM22CYQ5BAQZV623FLNXW73JJZ}

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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

Extended mean-field control problems with Poissonian common noise: Stochastic maximum principle and Hamiltonian-Jacobi-Bellman equation

Receipt and verification

First computed	2026-07-05T11:51:59.801047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2335a1621d08219afb5b2adb7b7f694e5d0366177aefed617839792845c7987d

Aliases

arxiv: 2404.11167 · arxiv_version: 2404.11167v3 · doi: 10.48550/arxiv.2404.11167 · pith_short_12: EM22CYQ5BAQZ · pith_short_16: EM22CYQ5BAQZV623 · pith_short_8: EM22CYQ5

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/EM22CYQ5BAQZV623FLNXW73JJZ \
  | 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: 2335a1621d08219afb5b2adb7b7f694e5d0366177aefed617839792845c7987d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605df611818c7f9a421b71609d1fccf2849999e61db7e4dbfda071451642971c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-17T08:32:08Z",
    "title_canon_sha256": "bc951eaef52616bdef4fb9f7cf85ee083e6bf07d632433356d3cd0e8e87276e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11167",
    "kind": "arxiv",
    "version": 3
  }
}