Pith Number

pith:4R376LSJ

pith:2013:4R376LSJK4WZGHI4GV7KXHNG3T

not attested not anchored not stored refs pending

A stochastic recursive optimal control problem under the G-expectation framework

Mingshang Hu, Shaolin Ji, Shuzhen Yang

arxiv:1306.1312 v1 · 2013-06-06 · 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{4R376LSJK4WZGHI4GV7KXHNG3T}

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	2026-05-18T03:21:34.663749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e477ff2e49572d931d1c357eab9da6dcd2aa32663432d92b39a62f221725e9ce

Aliases

arxiv: 1306.1312 · arxiv_version: 1306.1312v1 · doi: 10.48550/arxiv.1306.1312 · pith_short_12: 4R376LSJK4WZ · pith_short_16: 4R376LSJK4WZGHI4 · pith_short_8: 4R376LSJ

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/4R376LSJK4WZGHI4GV7KXHNG3T \
  | 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: e477ff2e49572d931d1c357eab9da6dcd2aa32663432d92b39a62f221725e9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b4bfce177081ec4f06db9f8768f00d4872d70a16c9818e8b61186fc8aff1fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-06T06:53:20Z",
    "title_canon_sha256": "9e524ca819d92c3c771ce9f7afa4913ff02aeaa7f7b611007f8dd0dcbe9463e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1312",
    "kind": "arxiv",
    "version": 1
  }
}