Pith Number

pith:TFT345DW

pith:2019:TFT345DWLTPOQWAQFWZFPZLFHL

not attested not anchored not stored refs pending

On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects

Andrea Signori, Harald Garcke, Kei Fong Lam

arxiv:1912.01945 v1 · 2019-12-04 · 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{TFT345DWLTPOQWAQFWZFPZLFHL}

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	2026-07-05T02:07:44.875818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9967be74765cdee858102db257e5653add260c61b45ca82190fdb734350a6140

Aliases

arxiv: 1912.01945 · arxiv_version: 1912.01945v1 · doi: 10.48550/arxiv.1912.01945 · pith_short_12: TFT345DWLTPO · pith_short_16: TFT345DWLTPOQWAQ · pith_short_8: TFT345DW

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/TFT345DWLTPOQWAQFWZFPZLFHL \
  | 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: 9967be74765cdee858102db257e5653add260c61b45ca82190fdb734350a6140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66dc177403ba721969a07abc9ac57d6ebb656389f9fe092f4638c4552166e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-04T13:09:00Z",
    "title_canon_sha256": "54e4d5e4182f9444e4f1bc237e739bd68265405c0f253bdba15fa86be9f19eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01945",
    "kind": "arxiv",
    "version": 1
  }
}