Pith Number

pith:2T4UC4GR

pith:2015:2T4UC4GRWMWNFHY7B4HMJB3FJ2

not attested not anchored not stored refs pending

Mathematical Analysis of a Clonal Evolution Model of Tumour Cell Proliferation

Glenn F. Webb, J\'ozsef Z. Farkas

arxiv:1511.05046 v1 · 2015-11-16 · math.AP · 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{2T4UC4GRWMWNFHY7B4HMJB3FJ2}

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	2026-05-17T23:52:08.728829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f94170d1b32cd29f1f0f0ec487654e82820eee0a15a903dbfb8d9204580277

Aliases

arxiv: 1511.05046 · arxiv_version: 1511.05046v1 · doi: 10.48550/arxiv.1511.05046 · pith_short_12: 2T4UC4GRWMWN · pith_short_16: 2T4UC4GRWMWNFHY7 · pith_short_8: 2T4UC4GR

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/2T4UC4GRWMWNFHY7B4HMJB3FJ2 \
  | 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: d4f94170d1b32cd29f1f0f0ec487654e82820eee0a15a903dbfb8d9204580277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241577187e494c9d8da0cae3b239e5e79710977be9cceb554cb2c4a85bf492f7",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-16T17:19:03Z",
    "title_canon_sha256": "24a735d1a42d6fd445fbaeff410038c58fe5afab98bc8fb98dd4749291bc1210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05046",
    "kind": "arxiv",
    "version": 1
  }
}