Pith Number

pith:4RZNF3XA

pith:2018:4RZNF3XA64ZIJOBWT55V62JVWN

not attested not anchored not stored refs pending

On the long time behavior of a tumor growth model

Alain Miranville, Elisabetta Rocca, Giulio Schimperna

arxiv:1810.12239 v1 · 2018-10-29 · 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{4RZNF3XA64ZIJOBWT55V62JVWN}

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	2026-05-18T00:02:03.846226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e472d2eee0f73284b8369f7b5f6935b37572d415f49295946459f07b05807342

Aliases

arxiv: 1810.12239 · arxiv_version: 1810.12239v1 · doi: 10.48550/arxiv.1810.12239 · pith_short_12: 4RZNF3XA64ZI · pith_short_16: 4RZNF3XA64ZIJOBW · pith_short_8: 4RZNF3XA

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/4RZNF3XA64ZIJOBWT55V62JVWN \
  | 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: e472d2eee0f73284b8369f7b5f6935b37572d415f49295946459f07b05807342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5d34f2ddaa1974ea792b3d8758a25a297437d71a51770aa1340854f05a4158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-29T16:33:37Z",
    "title_canon_sha256": "1fa1eded3b706d4a9025d4a013c2054225a3f5db9471183155ec0bce5e99289c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12239",
    "kind": "arxiv",
    "version": 1
  }
}