Pith Number

pith:5R7ULGGU

pith:2012:5R7ULGGUF6JOU4KABCWPJBKJEK

not attested not anchored not stored refs pending

Path-Dependent Optimal Stochastic Control and Viscosity Solution of Associated Bellman Equations

Fu Zhang, Shanjian Tang

arxiv:1210.2078 v3 · 2012-10-07 · math.OC · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5R7ULGGUF6JOU4KABCWPJBKJEK}

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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

Viscosity Solutions of Stochastic Hamilton--Jacobi--Bellman Equations with Jumps

Receipt and verification

First computed	2026-05-18T03:31:54.045110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7f4598d42f92ea714008acf48549228d6eded072b44c7c6c511f1b9f5b15f4

Aliases

arxiv: 1210.2078 · arxiv_version: 1210.2078v3 · doi: 10.48550/arxiv.1210.2078 · pith_short_12: 5R7ULGGUF6JO · pith_short_16: 5R7ULGGUF6JOU4KA · pith_short_8: 5R7ULGGU

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/5R7ULGGUF6JOU4KABCWPJBKJEK \
  | 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: ec7f4598d42f92ea714008acf48549228d6eded072b44c7c6c511f1b9f5b15f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a604bb720f10e09cc328a41cee02cc6f5c7fc49be7b3b3f47b9e38331b05672a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-07T17:14:44Z",
    "title_canon_sha256": "572ba58762e64e1918faaa840f1e6a9aefe3bbfe3cb2f9786542a00296c22d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2078",
    "kind": "arxiv",
    "version": 3
  }
}