Pith Number

pith:C32ZIRDE

pith:2016:C32ZIRDE2IWJO4RSXRCFFHTTGK

not attested not anchored not stored refs pending

Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain

G. M. Figueiredo, G. Siciliano

arxiv:1610.09328 v1 · 2016-10-28 · 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{C32ZIRDE2IWJO4RSXRCFFHTTGK}

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	2026-05-18T01:00:54.465556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f5944464d22c977232bc44529e7332abda6964f47c7a81c2c143f12f14ad0a

Aliases

arxiv: 1610.09328 · arxiv_version: 1610.09328v1 · doi: 10.48550/arxiv.1610.09328 · pith_short_12: C32ZIRDE2IWJ · pith_short_16: C32ZIRDE2IWJO4RS · pith_short_8: C32ZIRDE

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/C32ZIRDE2IWJO4RSXRCFFHTTGK \
  | 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: 16f5944464d22c977232bc44529e7332abda6964f47c7a81c2c143f12f14ad0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe4172993e74478bd0371c0627c247910e95b003c5f815a4068c435ec4054297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-28T17:54:46Z",
    "title_canon_sha256": "79b0a54b70f5dd28af44e89d57044400bdfa19d812e5569d5cd61dfe05c91bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09328",
    "kind": "arxiv",
    "version": 1
  }
}