Pith Number

pith:6VTGOJ6A

pith:2019:6VTGOJ6AMC4K7WXN4KLCTPIQL5

not attested not anchored not stored refs pending

Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models

Celine Bonnet, Fr\'ed\'erique Cl\'ement, Keltoum Chahour, Marie Postel, Romain Yvinec

arxiv:1903.08555 v1 · 2019-03-04 · q-bio.TO · math.PR · 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{6VTGOJ6AMC4K7WXN4KLCTPIQL5}

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	2026-05-17T23:50:47.776883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5666727c060b8afdaede29629bd105f73e08f62d973a8ab1d34cc409c8d389a

Aliases

arxiv: 1903.08555 · arxiv_version: 1903.08555v1 · doi: 10.48550/arxiv.1903.08555 · pith_short_12: 6VTGOJ6AMC4K · pith_short_16: 6VTGOJ6AMC4K7WXN · pith_short_8: 6VTGOJ6A

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/6VTGOJ6AMC4K7WXN4KLCTPIQL5 \
  | 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: f5666727c060b8afdaede29629bd105f73e08f62d973a8ab1d34cc409c8d389a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25b69a0eef496152187829ea03d9249c53a0ebc51bf6c3dd476bb6ccd0f8ede",
    "cross_cats_sorted": [
      "math.PR",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2019-03-04T14:24:33Z",
    "title_canon_sha256": "b4db00ba321f45e039e65efcda0143f77a3aeee9b36c7dde681c7b8f5758e9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08555",
    "kind": "arxiv",
    "version": 1
  }
}