Pith Number

pith:TYGSAUO6

pith:2018:TYGSAUO67CDZAOXQZM2ROXRYBZ

not attested not anchored not stored refs pending

Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system

Ben Niu, Junjie Wei, Yanfei Du

arxiv:1811.06215 v2 · 2018-11-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYGSAUO67CDZAOXQZM2ROXRYBZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:55:19.143203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0d2051def887903af0cb35175e380e67ea8b12c5ad2c10c37d5fc530ff0c35

Aliases

arxiv: 1811.06215 · arxiv_version: 1811.06215v2 · doi: 10.48550/arxiv.1811.06215 · pith_short_12: TYGSAUO67CDZ · pith_short_16: TYGSAUO67CDZAOXQ · pith_short_8: TYGSAUO6

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/TYGSAUO67CDZAOXQZM2ROXRYBZ \
  | 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: 9e0d2051def887903af0cb35175e380e67ea8b12c5ad2c10c37d5fc530ff0c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f450f7186b044ce48ca3629804c65c865bdbfec8a1eb50d3bbebf53b7f0074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-15T07:47:28Z",
    "title_canon_sha256": "36759d6908f23d8bc570995736ecf361e52104731d6b4d3f1954e815ad8bb78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06215",
    "kind": "arxiv",
    "version": 2
  }
}