Pith Number

pith:CWWCGWBU

pith:2012:CWWCGWBUVJHTPZI7XJ5E4CWJSE

not attested not anchored not stored refs pending

On shape optimization problems involving the fractional laplacian

Anne-Laure Dalibard (DMA), David G\'erard-Varet (IMJ)

arxiv:1202.4920 v2 · 2012-02-22 · 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{CWWCGWBUVJHTPZI7XJ5E4CWJSE}

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	2026-05-18T02:26:46.100583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ac235834aa4f37e51fba7a4e0ac991240a6261462912299fa25f54111b244b

Aliases

arxiv: 1202.4920 · arxiv_version: 1202.4920v2 · doi: 10.48550/arxiv.1202.4920 · pith_short_12: CWWCGWBUVJHT · pith_short_16: CWWCGWBUVJHTPZI7 · pith_short_8: CWWCGWBU

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/CWWCGWBUVJHTPZI7XJ5E4CWJSE \
  | 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: 15ac235834aa4f37e51fba7a4e0ac991240a6261462912299fa25f54111b244b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "587f3901aa6b621192597c186f13d1a442c5a73fc5cea67510b7a066af51bbac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-22T14:41:25Z",
    "title_canon_sha256": "da86f3899994e29750196e79da665c4ef3798e724f9f2f6ee8bdd9acfd7b606e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4920",
    "kind": "arxiv",
    "version": 2
  }
}