Pith Number

pith:J4IUDSZD

pith:2015:J4IUDSZDAJ2EC4A3BU6QHMG6Q5

not attested not anchored not stored refs pending

Direct Method on Stochastic Maximum Principle for Optimization with Recursive Utilities

Mingshang Hu

arxiv:1507.03567 v1 · 2015-07-13 · 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{J4IUDSZDAJ2EC4A3BU6QHMG6Q5}

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	2026-05-18T01:36:58.509864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1141cb23027441701b0d3d03b0de87591d7aadeb643e8288f7c92352721a83

Aliases

arxiv: 1507.03567 · arxiv_version: 1507.03567v1 · doi: 10.48550/arxiv.1507.03567 · pith_short_12: J4IUDSZDAJ2E · pith_short_16: J4IUDSZDAJ2EC4A3 · pith_short_8: J4IUDSZD

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/J4IUDSZDAJ2EC4A3BU6QHMG6Q5 \
  | 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: 4f1141cb23027441701b0d3d03b0de87591d7aadeb643e8288f7c92352721a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c446050dce10a44d92b48b6b0576e378aa478411a68b32b4b0fdf8a10be2c16c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-13T19:46:45Z",
    "title_canon_sha256": "416c39e3e3ced10f30434e5eb1cf5b5a024ccdafcce854d1fa56144fb426ec7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03567",
    "kind": "arxiv",
    "version": 1
  }
}