Pith Number

pith:D5WFFD6R

pith:2018:D5WFFD6RH35EGYCYHZBYNF7SQ7

not attested not anchored not stored refs pending

Singular Optimal Controls of Stochastic Recursive Systems and Hamilton-Jacobi-Bellman Inequality

Liangquan Zhang

arxiv:1811.01311 v1 · 2018-11-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5WFFD6RH35EGYCYHZBYNF7SQ7}

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	2026-05-18T00:01:34.671293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6c528fd13efa4360583e438697f287defa372559c74accd8540c2dc1beecbf

Aliases

arxiv: 1811.01311 · arxiv_version: 1811.01311v1 · doi: 10.48550/arxiv.1811.01311 · pith_short_12: D5WFFD6RH35E · pith_short_16: D5WFFD6RH35EGYCY · pith_short_8: D5WFFD6R

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/D5WFFD6RH35EGYCYHZBYNF7SQ7 \
  | 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: 1f6c528fd13efa4360583e438697f287defa372559c74accd8540c2dc1beecbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9135a1ccd6fb41235697b0ab8f868cf17ea34a986a9fd5be382e4f82372a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-04T01:55:20Z",
    "title_canon_sha256": "00d3ee35fc77a6db67681353a9729b0756e242e9671eda1977a38ff924e5f2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01311",
    "kind": "arxiv",
    "version": 1
  }
}