Pith Number

pith:HYNYX2Z2

pith:2019:HYNYX2Z2SCCPQKOPL5TQFAC63V

not attested not anchored not stored refs pending

On the Modelling of Impulse Control with Random Effects for Continuous Markov Processes

C. Zhu, K.L. Helmes, R.H. Stockbridge

arxiv:1908.08357 v5 · 2019-08-22 · math.OC · 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{HYNYX2Z2SCCPQKOPL5TQFAC63V}

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	2026-07-05T06:55:37.048295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1b8beb3a9084f829cf5f6702805edd4e158e97d038828b84edcb0177f139f1

Aliases

arxiv: 1908.08357 · arxiv_version: 1908.08357v5 · doi: 10.48550/arxiv.1908.08357 · pith_short_12: HYNYX2Z2SCCP · pith_short_16: HYNYX2Z2SCCPQKOP · pith_short_8: HYNYX2Z2

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/HYNYX2Z2SCCPQKOPL5TQFAC63V \
  | 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: 3e1b8beb3a9084f829cf5f6702805edd4e158e97d038828b84edcb0177f139f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6926adf1c3853f48b7cfcef5f63e3f35d7952e3546a9c0fd044d57b9addc30e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-22T13:24:42Z",
    "title_canon_sha256": "959caeec2ca0bca0a7df14871b40b7bf0b01c43b6ad9189fe56b57f1c96ff654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08357",
    "kind": "arxiv",
    "version": 5
  }
}