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Pith Number

pith:XYO7VXGT

pith:2015:XYO7VXGTH2U7G244B5SRMOE3HH
not attested not anchored not stored refs pending

Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth

Elisabetta Rocca, Gianni Gilardi, Juergen Sprekels, Pierluigi Colli

arxiv:1501.07057 v2 · 2015-01-28 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XYO7VXGTH2U7G244B5SRMOE3HH}

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 2026-05-18T02:28:20.161161Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be1dfadcd33ea9f36b9c0f6516389b39f08ac39436ff43bfe92ac8ecb796a69c

Aliases

arxiv: 1501.07057 · arxiv_version: 1501.07057v2 · doi: 10.48550/arxiv.1501.07057 · pith_short_12: XYO7VXGTH2U7 · pith_short_16: XYO7VXGTH2U7G244 · pith_short_8: XYO7VXGT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XYO7VXGTH2U7G244B5SRMOE3HH \
  | 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: be1dfadcd33ea9f36b9c0f6516389b39f08ac39436ff43bfe92ac8ecb796a69c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9d6f9cb53f84be339c7e9e85aa2a7c1b528eaae9d49aeae27569a578f5ed8f88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-28T10:37:38Z",
    "title_canon_sha256": "5d1e2973aa03f46b85d217318cbbfc794f45a6f7711c6d4540b54a9636a6b932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07057",
    "kind": "arxiv",
    "version": 2
  }
}