Pith Number

pith:GXXSMRID

pith:2018:GXXSMRIDFZZTAM7WZCAHV7FGKG

not attested not anchored not stored refs pending

Persistence and extinction for stochastic ecological models with internal and external variables

Michel Bena\"im, Sebastian J. Schreiber

arxiv:1808.07888 v3 · 2018-08-23 · q-bio.PE · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXXSMRIDFZZTAM7WZCAHV7FGKG}

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	2026-05-17T23:50:07.024522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ef2645032e733033f6c8807afca651a1836d74bccaab564dad67ec67666c26

Aliases

arxiv: 1808.07888 · arxiv_version: 1808.07888v3 · doi: 10.48550/arxiv.1808.07888 · pith_short_12: GXXSMRIDFZZT · pith_short_16: GXXSMRIDFZZTAM7W · pith_short_8: GXXSMRID

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/GXXSMRIDFZZTAM7WZCAHV7FGKG \
  | 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: 35ef2645032e733033f6c8807afca651a1836d74bccaab564dad67ec67666c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea32887ddd386e194f876d7a36db5a27dbad20f24c6d1b843b8f12417478a8e",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2018-08-23T18:01:17Z",
    "title_canon_sha256": "357f16a76a7fdfcd61bdc90b0066987deda7761eca4e397c07a4f6228f19ae7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07888",
    "kind": "arxiv",
    "version": 3
  }
}