Pith Number

pith:5UNFLLTM

pith:2011:5UNFLLTML25ZGU66CFXOQCHJO7

not attested not anchored not stored refs pending

The Stability of the Constrained Utility Maximization Problem - A BSDE Approach

Markus Mocha, Nicholas Westray

arxiv:1107.0190 v1 · 2011-07-01 · math.OC · math.PR · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UNFLLTML25ZGU66CFXOQCHJO7}

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	2026-05-18T04:19:02.518561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1a55ae6c5ebb9353de116ee808e977f078025726375c2dd5957b75530a8748

Aliases

arxiv: 1107.0190 · arxiv_version: 1107.0190v1 · doi: 10.48550/arxiv.1107.0190 · pith_short_12: 5UNFLLTML25Z · pith_short_16: 5UNFLLTML25ZGU66 · pith_short_8: 5UNFLLTM

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/5UNFLLTML25ZGU66CFXOQCHJO7 \
  | 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: ed1a55ae6c5ebb9353de116ee808e977f078025726375c2dd5957b75530a8748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9714e2c9ee2eb6333035ebd421ef14c338163a22cd10da34ece384a004c203c1",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-01T10:50:50Z",
    "title_canon_sha256": "d13aa0c870dc56efbfa99d8e986ade819b7bee613e360122ed205109c5554436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0190",
    "kind": "arxiv",
    "version": 1
  }
}