Pith Number

pith:NXMMF2T3

pith:2006:NXMMF2T3Y4BVOYW37TG5P5PUKT

not attested not anchored not stored refs pending

An extension problem related to the fractional Laplacian

Luis Caffarelli, Luis Silvestre

arxiv:math/0608640 v2 · 2006-08-25 · 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{NXMMF2T3Y4BVOYW37TG5P5PUKT}

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.

Cited by

1 paper in Pith

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations

Receipt and verification

First computed	2026-07-04T17:24:28.065394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd8c2ea7bc7035762dbfccdd7f5f454d7404f2fcff7994894939a0696d0d279

Aliases

arxiv: math/0608640 · arxiv_version: math/0608640v2 · doi: 10.48550/arxiv.math/0608640 · pith_short_12: NXMMF2T3Y4BV · pith_short_16: NXMMF2T3Y4BVOYW3 · pith_short_8: NXMMF2T3

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/NXMMF2T3Y4BVOYW37TG5P5PUKT \
  | 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: 6dd8c2ea7bc7035762dbfccdd7f5f454d7404f2fcff7994894939a0696d0d279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c0ff8dc51ec35831bf948dd0efea482ff1d4e61e23fbe9b1ea6ac376cb1e2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-08-25T16:28:08Z",
    "title_canon_sha256": "de41fa4dce851c7b2d97e8dd16f2f28d83a68afff37e622ccada51c24874d226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608640",
    "kind": "arxiv",
    "version": 2
  }
}