Pith Number

pith:BKKDAZKV

pith:2017:BKKDAZKVB66H7JST566KGC5NOL

not attested not anchored not stored refs pending

A tumor growth model of Hele-Shaw type as a gradient flow

L\'ena\"ic Chizat, Simone Di Marino

arxiv:1712.06124 v1 · 2017-12-17 · 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{BKKDAZKVB66H7JST566KGC5NOL}

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	2026-05-18T00:27:51.027250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a943065550fbc7fa653efbca30bad72f40184d4affe780e3599954e656830bd

Aliases

arxiv: 1712.06124 · arxiv_version: 1712.06124v1 · doi: 10.48550/arxiv.1712.06124 · pith_short_12: BKKDAZKVB66H · pith_short_16: BKKDAZKVB66H7JST · pith_short_8: BKKDAZKV

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/BKKDAZKVB66H7JST566KGC5NOL \
  | 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: 0a943065550fbc7fa653efbca30bad72f40184d4affe780e3599954e656830bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60285458270abe3b8b4db7867dbb86db8334a8445313c42806db11c55e32af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-17T14:47:28Z",
    "title_canon_sha256": "8486b68b4c17c47c4f9dcc27f89bb04cec17d7f700ca2315ac08d6d580e5525f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06124",
    "kind": "arxiv",
    "version": 1
  }
}