pith. sign in
Pith Number

pith:VVSRCMPN

pith:2018:VVSRCMPND2VZWC7PTJFIQFDRXQ
not attested not anchored not stored refs pending

Bridging the gap between individual-based and continuum models of growing cell populations

Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi

arxiv:1812.05872 v3 · 2018-12-14 · q-bio.TO · math.AP · q-bio.CB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VVSRCMPND2VZWC7PTJFIQFDRXQ}

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 2026-05-17T23:40:49.313967Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ad651131ed1eab9b0bef9a4a881471bc00ed98e67e2fe6726c008cd222d60e50

Aliases

arxiv: 1812.05872 · arxiv_version: 1812.05872v3 · doi: 10.48550/arxiv.1812.05872 · pith_short_12: VVSRCMPND2VZ · pith_short_16: VVSRCMPND2VZWC7P · pith_short_8: VVSRCMPN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VVSRCMPND2VZWC7PTJFIQFDRXQ \
  | 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: ad651131ed1eab9b0bef9a4a881471bc00ed98e67e2fe6726c008cd222d60e50
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2d596e6e56223e1545cb86ba40eb4308631d4b6d5838bb92d75bcce51075f15c",
    "cross_cats_sorted": [
      "math.AP",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2018-12-14T12:03:46Z",
    "title_canon_sha256": "325038da62ad44a383e3dacefbf78a309057a4a64b2ed027c8c5e0d02a560e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05872",
    "kind": "arxiv",
    "version": 3
  }
}