Pith Number

pith:V4NQQOHB

pith:2017:V4NQQOHBYIV4BBAW4IGDCDPBGL

not attested not anchored not stored refs pending

Local elliptic regularity for the Dirichlet fractional Laplacian

Enrique Zuazua, Mahamadi Warma, Umberto Biccari

arxiv:1704.07560 v2 · 2017-04-25 · 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{V4NQQOHBYIV4BBAW4IGDCDPBGL}

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	2026-05-18T00:43:50.245539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1b0838e1c22bc08416e20c310de132f0dfe30920f4c2e2462f1fcfb2993ce6

Aliases

arxiv: 1704.07560 · arxiv_version: 1704.07560v2 · doi: 10.48550/arxiv.1704.07560 · pith_short_12: V4NQQOHBYIV4 · pith_short_16: V4NQQOHBYIV4BBAW · pith_short_8: V4NQQOHB

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/V4NQQOHBYIV4BBAW4IGDCDPBGL \
  | 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: af1b0838e1c22bc08416e20c310de132f0dfe30920f4c2e2462f1fcfb2993ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4485862eaa7a70b290175aed760f0475076b52c966c56a125811bad115d09c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-25T06:55:46Z",
    "title_canon_sha256": "b97971089d4b819e336323afe703a4c0236083f61d4d88e79849a7c577dfaa83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07560",
    "kind": "arxiv",
    "version": 2
  }
}