Pith Number

pith:ZK462T4J

pith:2017:ZK462T4JN5YMCV3HMWKVBXZ4RI

not attested not anchored not stored refs pending

Hopf bifurcation for a delayed diffusive logistic population model in the advective heterogeneous environment

Junjie Wei, Shanshan Chen, Xue Zhang

arxiv:1708.09542 v2 · 2017-08-31 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK462T4JN5YMCV3HMWKVBXZ4RI}

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	2026-05-18T00:10:19.291558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab9ed4f896f70c15767659550df3c8a0646c4ae96e58f40475464815b33eb2f

Aliases

arxiv: 1708.09542 · arxiv_version: 1708.09542v2 · doi: 10.48550/arxiv.1708.09542 · pith_short_12: ZK462T4JN5YM · pith_short_16: ZK462T4JN5YMCV3H · pith_short_8: ZK462T4J

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/ZK462T4JN5YMCV3HMWKVBXZ4RI \
  | 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: cab9ed4f896f70c15767659550df3c8a0646c4ae96e58f40475464815b33eb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8accb923f4ba2347b25c2f20ffe4200848997aee7a746573377e453c78260ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-31T02:45:50Z",
    "title_canon_sha256": "075e27eed0c25a82e794583cb662be35ca760004e21940d65a227c43eb9bfe4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09542",
    "kind": "arxiv",
    "version": 2
  }
}