Pith Number

pith:GPPQKFXT

pith:2015:GPPQKFXTH65Q4SLHJEC72MP77C

not attested not anchored not stored refs pending

Dynamic Programming Principle and Associated Hamilton-Jacobi-Bellman Equation for Stochastic Recursive Control Problem with Non-Lipschitz Aggregator

Jiangyan Pu, Qi Zhang

arxiv:1503.02180 v2 · 2015-03-07 · 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{GPPQKFXTH65Q4SLHJEC72MP77C}

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	2026-05-18T01:33:16.020528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33df0516f33fbb0e49674905fd31fff8bd7be50ea5c0488834058f82c4f4dea3

Aliases

arxiv: 1503.02180 · arxiv_version: 1503.02180v2 · doi: 10.48550/arxiv.1503.02180 · pith_short_12: GPPQKFXTH65Q · pith_short_16: GPPQKFXTH65Q4SLH · pith_short_8: GPPQKFXT

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/GPPQKFXTH65Q4SLHJEC72MP77C \
  | 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: 33df0516f33fbb0e49674905fd31fff8bd7be50ea5c0488834058f82c4f4dea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1313089a12908e1ff655f943970baf1ccc0932f95750101846e441a39f88cb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-07T14:41:34Z",
    "title_canon_sha256": "14ba31a267262534b54599a304e97885f4afc7952af359b698db86e6edf45fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02180",
    "kind": "arxiv",
    "version": 2
  }
}