pith. sign in
Pith Number

pith:6EXCJHVK

pith:2015:6EXCJHVKUYKE4HTUHG6KIXY4YH
not attested not anchored not stored refs pending

Quantifying Spatio-Temporal Variation of Invasion Spread

Andrew Liebhold, Jaewoo Park, Joshua Goldstein, Murali Haran, Ottar N. Bjornstad

arxiv:1506.02685 v4 · 2015-06-08 · stat.ME · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6EXCJHVKUYKE4HTUHG6KIXY4YH}

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 2026-05-18T00:03:37.604402Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f12e249eaaa6144e1e7439bca45f1cc1f7360944386ae7971f576761c5679ab4

Aliases

arxiv: 1506.02685 · arxiv_version: 1506.02685v4 · doi: 10.48550/arxiv.1506.02685 · pith_short_12: 6EXCJHVKUYKE · pith_short_16: 6EXCJHVKUYKE4HTU · pith_short_8: 6EXCJHVK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6EXCJHVKUYKE4HTUHG6KIXY4YH \
  | 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: f12e249eaaa6144e1e7439bca45f1cc1f7360944386ae7971f576761c5679ab4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f77926779e53835c21088cd9962d64df983e28268c05aaf099d5bd82bc558892",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-06-08T20:24:54Z",
    "title_canon_sha256": "7f748d65704dd0412b9facdd9233337b7db0f2a4c7b4dcd61eafea60f7321443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02685",
    "kind": "arxiv",
    "version": 4
  }
}