Pith Number

pith:PCLLDOFX

pith:2015:PCLLDOFXOOXPLBJFLETCPI6HD7

not attested not anchored not stored refs pending

A HELE-SHAW problem for tumor growth

Antoine Mellet, Beno\^it Perthame (LJLL, Fernando Quiros, MAMBA)

arxiv:1512.06995 v1 · 2015-12-22 · 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{PCLLDOFXOOXPLBJFLETCPI6HD7}

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	2026-05-18T01:23:53.192628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7896b1b8b773aef58525592627a3c71fc8da8ce80dcec0ba4a240021d13a1021

Aliases

arxiv: 1512.06995 · arxiv_version: 1512.06995v1 · doi: 10.48550/arxiv.1512.06995 · pith_short_12: PCLLDOFXOOXP · pith_short_16: PCLLDOFXOOXPLBJF · pith_short_8: PCLLDOFX

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/PCLLDOFXOOXPLBJFLETCPI6HD7 \
  | 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: 7896b1b8b773aef58525592627a3c71fc8da8ce80dcec0ba4a240021d13a1021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb02f287631d32eb72ea5c5ff906883ff8d634e80581118b2a9beb0e5086155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-22T09:26:01Z",
    "title_canon_sha256": "b73759b3828584e52937b7c691915de189f651590bfd6607b11553c56854d968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06995",
    "kind": "arxiv",
    "version": 1
  }
}