Pith Number

pith:ZMKXANGZ

pith:2015:ZMKXANGZOWIDBQTYEWOMDTZEJK

not attested not anchored not stored refs pending

Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth

Elisabetta Rocca, Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1503.00927 v1 · 2015-03-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMKXANGZOWIDBQTYEWOMDTZEJK}

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	2026-05-18T02:25:48.083186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb157034d9759030c278259cc1cf244a8fcadfc2b0b0bfbcb6c73d8362000b90

Aliases

arxiv: 1503.00927 · arxiv_version: 1503.00927v1 · doi: 10.48550/arxiv.1503.00927 · pith_short_12: ZMKXANGZOWID · pith_short_16: ZMKXANGZOWIDBQTY · pith_short_8: ZMKXANGZ

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/ZMKXANGZOWIDBQTYEWOMDTZEJK \
  | 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: cb157034d9759030c278259cc1cf244a8fcadfc2b0b0bfbcb6c73d8362000b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e107057aaa6bd4b599aa80bd2794459e57f49455c890a690436d13dbd80a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-03T12:56:15Z",
    "title_canon_sha256": "948c16581adc82e9133b36ee868d80ceb92f1e826edb39c5bebaf5a8912fbe19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00927",
    "kind": "arxiv",
    "version": 1
  }
}