Pith Number

pith:4LL7XVI6

pith:2019:4LL7XVI6BML64F4RO2PWBEXVQB

not attested not anchored not stored refs pending

Stochastic Nicholson's blowflies delay differential equation with regime switching

Kai Wang, Yanling Zhu, Yingdong Zhuang, Yong Ren

arxiv:1901.03850 v3 · 2019-01-12 · 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{4LL7XVI6BML64F4RO2PWBEXVQB}

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	2026-05-17T23:51:39.013927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d7fbd51e0b17ee1791769f6092f5804d46ffa7408b1d18d8cf525913e2e431

Aliases

arxiv: 1901.03850 · arxiv_version: 1901.03850v3 · doi: 10.48550/arxiv.1901.03850 · pith_short_12: 4LL7XVI6BML6 · pith_short_16: 4LL7XVI6BML64F4R · pith_short_8: 4LL7XVI6

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/4LL7XVI6BML64F4RO2PWBEXVQB \
  | 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: e2d7fbd51e0b17ee1791769f6092f5804d46ffa7408b1d18d8cf525913e2e431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e2395f3a031ffa92c77fa9b08a42cea4776a85678b54837fcd0350994f2be2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-12T11:11:29Z",
    "title_canon_sha256": "a0994dfe026fccde2ddb31560f3a57a25709db717beb9e7a64085de506c4b6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03850",
    "kind": "arxiv",
    "version": 3
  }
}