Pith. sign in
Pith Number

pith:VIUVAUXH

pith:2025:VIUVAUXH2QT5V3S2GK7WVFMVG7
not attested not anchored not stored refs pending

A study on a class of predator-prey models with Allee effect

Changrong Zhu, Jianhang Xie

arxiv:2503.23970 v1 · 2025-03-31 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VIUVAUXH2QT5V3S2GK7WVFMVG7}

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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 2026-07-05T10:43:27.205771Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aa295052e7d427daee5a32bf6a959537e2ace5e318b721fa953d25052e2cff87

Aliases

arxiv: 2503.23970 · arxiv_version: 2503.23970v1 · doi: 10.48550/arxiv.2503.23970 · pith_short_12: VIUVAUXH2QT5 · pith_short_16: VIUVAUXH2QT5V3S2 · pith_short_8: VIUVAUXH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VIUVAUXH2QT5V3S2GK7WVFMVG7 \
  | 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: aa295052e7d427daee5a32bf6a959537e2ace5e318b721fa953d25052e2cff87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2d00297e43da88f5407b41f1258b4261b439aff32db437d49c71ccf7a3c15330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-31T11:34:48Z",
    "title_canon_sha256": "9e93040ac955ed98e130b6e7c51245d7ef808c0e1ac4acff0c1f2cede467712a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23970",
    "kind": "arxiv",
    "version": 1
  }
}