Pith Number

pith:CCJPB3NS

pith:2017:CCJPB3NSJ743DEBLBIE63YM4QO

not attested not anchored not stored refs pending

On the Control of Density-Dependent Stochastic Population Processes with Time-Varying Behavior

Chai Wah Wu, Mark Squillante, Yingdong Lu

arxiv:1709.07988 v1 · 2017-09-23 · 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{CCJPB3NSJ743DEBLBIE63YM4QO}

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	2026-05-18T00:34:28.291596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1092f0edb24ff9b1902b0a09ede19c83827715c465279e18b450977450270bd1

Aliases

arxiv: 1709.07988 · arxiv_version: 1709.07988v1 · doi: 10.48550/arxiv.1709.07988 · pith_short_12: CCJPB3NSJ743 · pith_short_16: CCJPB3NSJ743DEBL · pith_short_8: CCJPB3NS

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/CCJPB3NSJ743DEBLBIE63YM4QO \
  | 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: 1092f0edb24ff9b1902b0a09ede19c83827715c465279e18b450977450270bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a712ede47d2e9d0a1992c53b44c0b8835afcfae0138599abd31391b4770f221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-23T02:16:19Z",
    "title_canon_sha256": "c48b340b1ce3a8945bb5d20041c2fc404782bece84908fa3738697337ad03040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07988",
    "kind": "arxiv",
    "version": 1
  }
}