Pith Number

pith:56QERC4Z

pith:2012:56QERC4ZFRP4ASVXRDTY4O426Q

not attested not anchored not stored refs pending

An explicit solution of a non-linear quadratic constrained stochastic control problem with an application to optimal liquidation in dark pools with adverse selection

Peter Kratz

arxiv:1204.2498 v2 · 2012-04-11 · 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{56QERC4ZFRP4ASVXRDTY4O426Q}

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	2026-05-18T03:27:10.324368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa0488b992c5fc04ab788e78e3b9af4112e7a8c9e9ecd5a37ca02abf309dffa

Aliases

arxiv: 1204.2498 · arxiv_version: 1204.2498v2 · doi: 10.48550/arxiv.1204.2498 · pith_short_12: 56QERC4ZFRP4 · pith_short_16: 56QERC4ZFRP4ASVX · pith_short_8: 56QERC4Z

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/56QERC4ZFRP4ASVXRDTY4O426Q \
  | 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: efa0488b992c5fc04ab788e78e3b9af4112e7a8c9e9ecd5a37ca02abf309dffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3783744d24b6e2509366a2f529f90121ea165d9bc7e07f029d796ac1efd1278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-04-11T17:01:54Z",
    "title_canon_sha256": "3040c61e5520bf84565f59374dee0a450faf8f4b9845fff1e51a2434ca5ca868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2498",
    "kind": "arxiv",
    "version": 2
  }
}