Pith Number

pith:JP5OY5MO

pith:2012:JP5OY5MO4NRZ7STVMGP2Q3HHPA

not attested not anchored not stored refs pending

A phase-field approximation of the Willmore flow with volume and area constraints

Philippe Laurencot (IMT), Pierluigi Colli

arxiv:1204.4274 v1 · 2012-04-19 · 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{JP5OY5MO4NRZ7STVMGP2Q3HHPA}

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	2026-05-18T03:37:52.910765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bfaec758ee3639fca75619fa86ce7780abeadc580ea506c151b4e0ebaf38887

Aliases

arxiv: 1204.4274 · arxiv_version: 1204.4274v1 · doi: 10.48550/arxiv.1204.4274 · pith_short_12: JP5OY5MO4NRZ · pith_short_16: JP5OY5MO4NRZ7STV · pith_short_8: JP5OY5MO

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/JP5OY5MO4NRZ7STVMGP2Q3HHPA \
  | 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: 4bfaec758ee3639fca75619fa86ce7780abeadc580ea506c151b4e0ebaf38887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44e272584f01044350b87f8c283be6434b7abc71aaf020b0870d6a4ea26a826",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-19T08:02:04Z",
    "title_canon_sha256": "6901ac16b4cb75148620799157628468466ea68cd422bcf1f0208b2471d43747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4274",
    "kind": "arxiv",
    "version": 1
  }
}