Pith Number

pith:JSKNZF25

pith:2015:JSKNZF256R5Z4VN6RLHDLUBCMS

not attested not anchored not stored refs pending

A Cahn--Hilliard--Darcy model for tumour growth with chemotaxis and active transport

Emanuel Sitka, Harald Garcke, Kei Fong Lam, Vanessa Styles

arxiv:1508.00437 v2 · 2015-08-03 · math.AP · q-bio.TO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSKNZF256R5Z4VN6RLHDLUBCMS}

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	2026-05-18T01:12:59.754174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c94dc975df47b9e55be8ace35d0226493092822b0cee70ca084332f8375cdc2

Aliases

arxiv: 1508.00437 · arxiv_version: 1508.00437v2 · doi: 10.48550/arxiv.1508.00437 · pith_short_12: JSKNZF256R5Z · pith_short_16: JSKNZF256R5Z4VN6 · pith_short_8: JSKNZF25

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/JSKNZF256R5Z4VN6RLHDLUBCMS \
  | 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: 4c94dc975df47b9e55be8ace35d0226493092822b0cee70ca084332f8375cdc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b7929d2fc7e6b8d7ec60ba02cf3feae56b6ccff37263761d3ec381767df804",
    "cross_cats_sorted": [
      "q-bio.TO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-03T14:52:44Z",
    "title_canon_sha256": "2219dbb7e93497b63d1acc0386b6fe8876228dc1c9b9cc58bc84a89b1644c6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00437",
    "kind": "arxiv",
    "version": 2
  }
}