Pith Number

pith:KQVRS5XZ

pith:2020:KQVRS5XZVIO2WY3VGF2TU5SICJ

not attested not anchored not stored refs pending

A restricted nonlocal operator bridging together the Laplacian and the Fractional Laplacian

Alejandro Ortega, Jos\'e C. Bellido

arxiv:2004.12160 v1 · 2020-04-25 · 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{KQVRS5XZVIO2WY3VGF2TU5SICJ}

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	2026-07-05T00:58:12.909853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542b1976f9aa1dab637531753a764812732fb2500c5bc4971abde98d35f25909

Aliases

arxiv: 2004.12160 · arxiv_version: 2004.12160v1 · doi: 10.48550/arxiv.2004.12160 · pith_short_12: KQVRS5XZVIO2 · pith_short_16: KQVRS5XZVIO2WY3V · pith_short_8: KQVRS5XZ

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/KQVRS5XZVIO2WY3VGF2TU5SICJ \
  | 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: 542b1976f9aa1dab637531753a764812732fb2500c5bc4971abde98d35f25909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb27dad1b06f39130d57722c6c32c48fbc05bff85f0977d7760da553d975c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-04-25T14:49:47Z",
    "title_canon_sha256": "b4eba7e20fbf5e031529dcbda0874e5de661c5b21b2d89d3668c4a5ef689c1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12160",
    "kind": "arxiv",
    "version": 1
  }
}