Pith Number

pith:4TOKDNAQ

pith:2010:4TOKDNAQ7W66WDUER4EPF4XE3B

not attested not anchored not stored refs pending

On the role of Allee effect and mass migration in survival and extinction of a species

Davide Borrello

arxiv:1003.3922 v4 · 2010-03-20 · 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{4TOKDNAQ7W66WDUER4EPF4XE3B}

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	2026-05-18T03:55:47.299433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dca1b410fdbdeb0e848f08f2f2e4d851e3296aa979a5cef9d90e3f3852b8b9

Aliases

arxiv: 1003.3922 · arxiv_version: 1003.3922v4 · doi: 10.48550/arxiv.1003.3922 · pith_short_12: 4TOKDNAQ7W66 · pith_short_16: 4TOKDNAQ7W66WDUE · pith_short_8: 4TOKDNAQ

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/4TOKDNAQ7W66WDUER4EPF4XE3B \
  | 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: e4dca1b410fdbdeb0e848f08f2f2e4d851e3296aa979a5cef9d90e3f3852b8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7c5efb8e0ed5bf9d03f744feeb75e8d5ccf325f7f544fa5d604062ba0059e7",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-20T11:41:16Z",
    "title_canon_sha256": "3bbf010b79c7c42ff913ec8b35a4b530be1c10be807d339be5454afca9d8fda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3922",
    "kind": "arxiv",
    "version": 4
  }
}