Pith Number

pith:DLEFVSLA

pith:2011:DLEFVSLAY3UVXH2F4LZOFKBBCP

not attested not anchored not stored refs pending

Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions

Xavier Cabre, Yannick Sire

arxiv:1111.0796 v1 · 2011-11-03 · 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{DLEFVSLAY3UVXH2F4LZOFKBBCP}

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	2026-05-18T04:09:36.918029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac85ac960c6e95b9f45e2f2e2a82113e0ddfd14ce79bd95c229b39b430b3fde

Aliases

arxiv: 1111.0796 · arxiv_version: 1111.0796v1 · doi: 10.48550/arxiv.1111.0796 · pith_short_12: DLEFVSLAY3UV · pith_short_16: DLEFVSLAY3UVXH2F · pith_short_8: DLEFVSLA

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/DLEFVSLAY3UVXH2F4LZOFKBBCP \
  | 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: 1ac85ac960c6e95b9f45e2f2e2a82113e0ddfd14ce79bd95c229b39b430b3fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864ff7a3af0545a33f83c521d851f6851eedf61d773adc4f266026393fabe586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-03T11:13:42Z",
    "title_canon_sha256": "3f3e8f12943f588953c32336a519263442df204eee8d3417a3183ac4549a9aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0796",
    "kind": "arxiv",
    "version": 1
  }
}