pith. sign in
Pith Number

pith:DRROFK5B

pith:2014:DRROFK5BU4OOPPWRUSLNWHZNNG
not attested not anchored not stored refs pending

Emerging Allee effect in tumor growth

Andreas Deutsch, Anja Voss-Boehme, Haralambos Hatzikirou, Katrin B\"ottger, Miguel A. Herrero

arxiv:1407.3147 v1 · 2014-07-11 · q-bio.TO · q-bio.CB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DRROFK5BU4OOPPWRUSLNWHZNNG}

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 2026-05-18T02:47:51.905832Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c62e2aba1a71ce7bed1a496db1f2d69a6fc7ca5ef92565bd83364690a1fa7c3

Aliases

arxiv: 1407.3147 · arxiv_version: 1407.3147v1 · doi: 10.48550/arxiv.1407.3147 · pith_short_12: DRROFK5BU4OO · pith_short_16: DRROFK5BU4OOPPWR · pith_short_8: DRROFK5B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DRROFK5BU4OOPPWRUSLNWHZNNG \
  | 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: 1c62e2aba1a71ce7bed1a496db1f2d69a6fc7ca5ef92565bd83364690a1fa7c3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c3c8786011b757e1f49e895edf8d8b67cb5aa8543061c6c5f4dc00a277c4eaf3",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2014-07-11T13:19:21Z",
    "title_canon_sha256": "5aeafa72e786e7a3f9fee19bba25f2d31d7580d781d408fc86944114ec9fccd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3147",
    "kind": "arxiv",
    "version": 1
  }
}