Pith Number

pith:FZG2LRNT

pith:2023:FZG2LRNTCDTEFQQJVXHP5QAP7V

not attested not anchored not stored refs pending

On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka-Volterra competition model over a stream

Jie Liu, Shanshan Chen, Yixiang Wu

arxiv:2301.06640 v1 · 2023-01-16 · q-bio.PE · 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{FZG2LRNTCDTEFQQJVXHP5QAP7V}

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	2026-07-05T06:18:10.285195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4da5c5b310e642c209adcefec00ffd4fa8dbc91ff1487a9adc6ffcc610a810

Aliases

arxiv: 2301.06640 · arxiv_version: 2301.06640v1 · doi: 10.48550/arxiv.2301.06640 · pith_short_12: FZG2LRNTCDTE · pith_short_16: FZG2LRNTCDTEFQQJ · pith_short_8: FZG2LRNT

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/FZG2LRNTCDTEFQQJVXHP5QAP7V \
  | 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: 2e4da5c5b310e642c209adcefec00ffd4fa8dbc91ff1487a9adc6ffcc610a810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5541b2c3175821c4367182df7f283913e2712687049023071b74db5fd0fb7e5b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2023-01-16T23:48:30Z",
    "title_canon_sha256": "7b5c813d089cbf74a753b1eb921807894b05a5ac24da3623ae7f6fa37abed83a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.06640",
    "kind": "arxiv",
    "version": 1
  }
}