Pith Number

pith:QL5WCPJX

pith:2009:QL5WCPJX5FG5QPMMLTXOOKJV4H

not attested not anchored not stored refs pending

Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with memory

Guillaume Carlier (CEREMADE), Rabah Tahraoui (CEREMADE)

arxiv:0902.4302 v1 · 2009-02-25 · 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{QL5WCPJX5FG5QPMMLTXOOKJV4H}

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	2026-05-18T04:09:53.845295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fb613d37e94dd83d8c5ceee72935e1d5281cc7ba93f03b0b54e1a036d4690b

Aliases

arxiv: 0902.4302 · arxiv_version: 0902.4302v1 · doi: 10.48550/arxiv.0902.4302 · pith_short_12: QL5WCPJX5FG5 · pith_short_16: QL5WCPJX5FG5QPMM · pith_short_8: QL5WCPJX

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/QL5WCPJX5FG5QPMMLTXOOKJV4H \
  | 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: 82fb613d37e94dd83d8c5ceee72935e1d5281cc7ba93f03b0b54e1a036d4690b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059061714d55a38aac6c0ea21216c38589a7857f35f1973521875bd3dcf02c83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-02-25T08:01:02Z",
    "title_canon_sha256": "22c9c793767dd3bf49f16570dbffd34b503def9c760a9f6175539b6aa3c6fbb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4302",
    "kind": "arxiv",
    "version": 1
  }
}