Pith Number

pith:Y43ZDWRP

pith:2011:Y43ZDWRPW3XMZXCM7ZEPLTVAE5

not attested not anchored not stored refs pending

Permanence of a general discrete-time two-species-interaction model with non-monotonic per capita growth rates

Yun Kang

arxiv:1102.5563 v1 · 2011-02-28 · 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{Y43ZDWRPW3XMZXCM7ZEPLTVAE5}

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	2026-05-18T04:27:46.563907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73791da2fb6eeccdc4cfe48f5cea02748afd8407d346b6f11a56a0cf973ea47

Aliases

arxiv: 1102.5563 · arxiv_version: 1102.5563v1 · doi: 10.48550/arxiv.1102.5563 · pith_short_12: Y43ZDWRPW3XM · pith_short_16: Y43ZDWRPW3XMZXCM · pith_short_8: Y43ZDWRP

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/Y43ZDWRPW3XMZXCM7ZEPLTVAE5 \
  | 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: c73791da2fb6eeccdc4cfe48f5cea02748afd8407d346b6f11a56a0cf973ea47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55beac558ea5077f216a38ff4c89ce10729eb6429f7885a1cb86cc1b09717a9b",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-28T00:29:50Z",
    "title_canon_sha256": "d539355d8686f3c3910f1ebbf4fcbbde8f5b6d519429e2155b27e696e9cab18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5563",
    "kind": "arxiv",
    "version": 1
  }
}