Pith Number

pith:GBNH5XJZ

pith:2022:GBNH5XJZ2MUWHJTNO7FK5VFC5M

not attested not anchored not stored refs pending

Effects of heterogeneity on cancer: a game theory perspective

Andr\'e Rocha, Annick Laruelle, Claudia Manini, Elena Inarra, Jos\'e I L\'opez

arxiv:2202.02211 v1 · 2022-02-04 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBNH5XJZ2MUWHJTNO7FK5VFC5M}

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	2026-07-05T03:54:09.660933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305a7edd39d32963a66d77caaed4a2eb3e9db138ac21c8562651c3e26ec34296

Aliases

arxiv: 2202.02211 · arxiv_version: 2202.02211v1 · doi: 10.48550/arxiv.2202.02211 · pith_short_12: GBNH5XJZ2MUW · pith_short_16: GBNH5XJZ2MUWHJTN · pith_short_8: GBNH5XJZ

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/GBNH5XJZ2MUWHJTNO7FK5VFC5M \
  | 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: 305a7edd39d32963a66d77caaed4a2eb3e9db138ac21c8562651c3e26ec34296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf4bc3340cb54383d8e281c81b8896c21b591a7cc5b43c7cd70bbbc8f443c63",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2022-02-04T16:13:09Z",
    "title_canon_sha256": "f05d72cc1a4ba3fb7cd841a081f9babecc27d4b2de1d0f8b142338f1011d3b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02211",
    "kind": "arxiv",
    "version": 1
  }
}