Pith Number

pith:VAKEXC4C

pith:2018:VAKEXC4CSTFBDCAOHXKOE66CZO

not attested not anchored not stored refs pending

Population invasion with bistable dynamics and adaptive evolution: the evolutionary rescue

Arnaud Ducrot (IMB), Matthieu Alfaro (IMAG)

arxiv:1801.07024 v1 · 2018-01-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAKEXC4CSTFBDCAOHXKOE66CZO}

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	2026-05-18T00:25:22.456151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8144b8b8294ca11880e3dd4e27bc2cb8bcc714559e9aeb004efd14a8db87573

Aliases

arxiv: 1801.07024 · arxiv_version: 1801.07024v1 · doi: 10.48550/arxiv.1801.07024 · pith_short_12: VAKEXC4CSTFB · pith_short_16: VAKEXC4CSTFBDCAO · pith_short_8: VAKEXC4C

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/VAKEXC4CSTFBDCAOHXKOE66CZO \
  | 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: a8144b8b8294ca11880e3dd4e27bc2cb8bcc714559e9aeb004efd14a8db87573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8960b6154000a46551c5e0362c5d2f94cef6d84ae24657a46f08144a247d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-22T10:18:18Z",
    "title_canon_sha256": "d781022deb6f7811fab9cbf186c04e2060a7044be98a52991b757dbedc3ac414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07024",
    "kind": "arxiv",
    "version": 1
  }
}