Pith Number

pith:IDVQO7HJ

pith:2012:IDVQO7HJWZPXTVWM4TJYBI2BGO

not attested not anchored not stored refs pending

Analysis of a Mixture Model of Tumor Growth

Edriss S. Titi, John Lowengrub, Kun Zhao

arxiv:1205.6780 v1 · 2012-05-30 · math.AP · nlin.PS · physics.bio-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDVQO7HJWZPXTVWM4TJYBI2BGO}

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	2026-05-18T03:54:37.965881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40eb077ce9b65f79d6cce4d380a341339186cd9b667ffdc929cc9c6f15e1eee7

Aliases

arxiv: 1205.6780 · arxiv_version: 1205.6780v1 · doi: 10.48550/arxiv.1205.6780 · pith_short_12: IDVQO7HJWZPX · pith_short_16: IDVQO7HJWZPXTVWM · pith_short_8: IDVQO7HJ

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/IDVQO7HJWZPXTVWM4TJYBI2BGO \
  | 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: 40eb077ce9b65f79d6cce4d380a341339186cd9b667ffdc929cc9c6f15e1eee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029b06c0b754a61d5fea33bbcf55513e427054acc077a563620f8a323934f31b",
    "cross_cats_sorted": [
      "nlin.PS",
      "physics.bio-ph",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-30T19:15:36Z",
    "title_canon_sha256": "45f55cdd7639e8280977e316e46927c3fcd484147417c2913a83ddcac90f81cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6780",
    "kind": "arxiv",
    "version": 1
  }
}