Pith Number

pith:VNL5WQKX

pith:2016:VNL5WQKXMKZ75BVYZWQTJKMR6X

not attested not anchored not stored refs pending

Nonlinear pseudo-differential equations defined by elliptic symbols on ${\lp}$ and the fractional Laplacian

Enrique G. Reyes, Humberto Prado, Mauricio Bravo

arxiv:1611.09277 v3 · 2016-11-28 · 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{VNL5WQKXMKZ75BVYZWQTJKMR6X}

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	2026-05-18T00:10:41.618212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab57db415762b3fe86b8cda134a991f5f60973940790055d8735c6b6253a7f4f

Aliases

arxiv: 1611.09277 · arxiv_version: 1611.09277v3 · doi: 10.48550/arxiv.1611.09277 · pith_short_12: VNL5WQKXMKZ7 · pith_short_16: VNL5WQKXMKZ75BVY · pith_short_8: VNL5WQKX

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/VNL5WQKXMKZ75BVYZWQTJKMR6X \
  | 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: ab57db415762b3fe86b8cda134a991f5f60973940790055d8735c6b6253a7f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a58f7c839ed7d502a7ccf844c54b5ab6725d71cb63d72afb58ae63e9664b14f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-28T18:36:58Z",
    "title_canon_sha256": "390eee15582cd79efe5183dc3d3604ae35036567d7f48c22ae18fddcafd697af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09277",
    "kind": "arxiv",
    "version": 3
  }
}