Pith Number

pith:3NFB5XTV

pith:2012:3NFB5XTVTAPMUWCQVKQWQARUD5

not attested not anchored not stored refs pending

Hypoxic Cell Waves around Necrotic Cores in Glioblastoma: A Biomathematical Model and its Therapeutic Implications

(2) Departamento de Matem\'aticas, (3) Servicio de Oncolog\'ia Radioter\'apica. Hospital General Universitario de Ciudad Real, Alicia Mart\'inez-Gonz\'alez (1), Canales y Puertos, Ciudad Real, E. T. S. I. Caminos, E. T. S. I. Industriales, Gabriel F. Calvo (2), Instituto de Matem\'atica Aplicada a la Ciencia y la Ingenier\'ia, Luis A. P\'erez Romasanta (3), Spain, Spain), Universidad de Castilla-La Mancha, V\'ictor M. P\'erez-Garc\'ia (1) ((1) Departamento de Matem\'aticas

arxiv:1204.3809 v1 · 2012-04-17 · q-bio.QM · q-bio.TO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NFB5XTVTAPMUWCQVKQWQARUD5}

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	2026-05-18T03:57:39.519169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4a1ede75981eca5850aaa16802341f79d91c9b5d33affc9557151892bce0fc

Aliases

arxiv: 1204.3809 · arxiv_version: 1204.3809v1 · doi: 10.48550/arxiv.1204.3809 · pith_short_12: 3NFB5XTVTAPM · pith_short_16: 3NFB5XTVTAPMUWCQ · pith_short_8: 3NFB5XTV

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/3NFB5XTVTAPMUWCQVKQWQARUD5 \
  | 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: db4a1ede75981eca5850aaa16802341f79d91c9b5d33affc9557151892bce0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cecd4fe5391f0d08706090bb2424e38bfaf3ec54bbbb00058a9b32ec08722b",
    "cross_cats_sorted": [
      "q-bio.TO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2012-04-17T14:58:16Z",
    "title_canon_sha256": "d2660c145388794abeaf225ae9884fae8d518c7406abf981a91687cc76409c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3809",
    "kind": "arxiv",
    "version": 1
  }
}