Pith Number

pith:G5NCAPS4

pith:2018:G5NCAPS4CPZXOHLCSGHJWRVFKG

not attested not anchored not stored refs pending

Optimal Exploitation of a Resource with Stochastic Population Dynamics and Delayed Renewal

ENSIIE), Idris Kharroubi (CEREMADE), Thomas Lim (LaMME, Vathana Ly-Vath

arxiv:1807.04160 v1 · 2018-07-11 · 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{G5NCAPS4CPZXOHLCSGHJWRVFKG}

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	2026-05-18T00:10:57.765990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375a203e5c13f3771d62918e9b46a551a6c90b474f1693a48f1003cdaeed2cd4

Aliases

arxiv: 1807.04160 · arxiv_version: 1807.04160v1 · doi: 10.48550/arxiv.1807.04160 · pith_short_12: G5NCAPS4CPZX · pith_short_16: G5NCAPS4CPZXOHLC · pith_short_8: G5NCAPS4

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/G5NCAPS4CPZXOHLCSGHJWRVFKG \
  | 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: 375a203e5c13f3771d62918e9b46a551a6c90b474f1693a48f1003cdaeed2cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a851b10bf432fca91c68079d1a5e1abb6f95c6e744bb683cea3f6b1549b121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-11T14:34:42Z",
    "title_canon_sha256": "b65c20a22b897512656436dd995392294fcb50e37ec1d7839075913ba9ac7161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04160",
    "kind": "arxiv",
    "version": 1
  }
}