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Pith Number

pith:P4TRRGCX

pith:2011:P4TRRGCXPAQOP4QAIWYS5WZ27V
not attested not anchored not stored refs pending

Temporally variable dispersal and demography can accelerate the spread of invading species

Sebastian J. Schreiber, Stephen P. Ellner

arxiv:1106.1612 v2 · 2011-06-08 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P4TRRGCXPAQOP4QAIWYS5WZ27V}

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 2026-05-18T03:58:26.475854Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f271898577820e7f20045b12edb3afd7b521144f3d0b53281d58fe3e9da154b

Aliases

arxiv: 1106.1612 · arxiv_version: 1106.1612v2 · doi: 10.48550/arxiv.1106.1612 · pith_short_12: P4TRRGCXPAQO · pith_short_16: P4TRRGCXPAQOP4QA · pith_short_8: P4TRRGCX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P4TRRGCXPAQOP4QAIWYS5WZ27V \
  | 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: 7f271898577820e7f20045b12edb3afd7b521144f3d0b53281d58fe3e9da154b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2e62e31a69b841fce09c4f452d1b53db16a623d2dede542d93e7aa6f5b29a6b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-06-08T18:08:34Z",
    "title_canon_sha256": "3f77f489839d21650da942951216cbcc973f314445b94e9e3afea3c8113b8408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1612",
    "kind": "arxiv",
    "version": 2
  }
}