Pith Number

pith:MFJEZZ7X

pith:2019:MFJEZZ7XMR3LF3XICI5WSBTYSH

not attested not anchored not stored refs pending

Predator-Prey Interaction Model with Hunting Cooperation among Predators and Allee Effect in Prey

Aaditya Kharel, Huiqing Zhu, Michelle McCullum, Nick Burks, Zhifu Xie

arxiv:1911.10299 v1 · 2019-11-23 · math.DS · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFJEZZ7XMR3LF3XICI5WSBTYSH}

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	2026-07-05T00:23:08.838270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61524ce7f76476b2eee8123b69067891f15c0bbca6ffc4eabffdb40a6ca5e23c

Aliases

arxiv: 1911.10299 · arxiv_version: 1911.10299v1 · doi: 10.48550/arxiv.1911.10299 · pith_short_12: MFJEZZ7XMR3L · pith_short_16: MFJEZZ7XMR3LF3XI · pith_short_8: MFJEZZ7X

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/MFJEZZ7XMR3LF3XICI5WSBTYSH \
  | 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: 61524ce7f76476b2eee8123b69067891f15c0bbca6ffc4eabffdb40a6ca5e23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51be969d0f2c707c7e83f72219335575eb977ca9379018a122dfdef300aae715",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-11-23T01:58:18Z",
    "title_canon_sha256": "7d649a33eccc5fc253bee3a3535e3c27dbc8508d4468e233b96faa272e4ea2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10299",
    "kind": "arxiv",
    "version": 1
  }
}