Pith Number

pith:MN3PCL5W

pith:2015:MN3PCL5W47ARWX7ZVOKR45CX7D

not attested not anchored not stored refs pending

Multiplicity results for the fractional laplacian in expanded domains

G.M. Figueiredo, G. Siciliano, M. T.O Pimenta

arxiv:1511.09406 v1 · 2015-11-30 · 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{MN3PCL5W47ARWX7ZVOKR45CX7D}

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	2026-05-18T01:25:40.311404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6376f12fb6e7c11b5ff9ab951e7457f8ce3e976f1199f4ff68d79eb1e4467f64

Aliases

arxiv: 1511.09406 · arxiv_version: 1511.09406v1 · doi: 10.48550/arxiv.1511.09406 · pith_short_12: MN3PCL5W47AR · pith_short_16: MN3PCL5W47ARWX7Z · pith_short_8: MN3PCL5W

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/MN3PCL5W47ARWX7ZVOKR45CX7D \
  | 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: 6376f12fb6e7c11b5ff9ab951e7457f8ce3e976f1199f4ff68d79eb1e4467f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52378c16f9291755a57ce8c467accacdba07357d97a15e4e4daf3f98bc65c6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-30T17:45:06Z",
    "title_canon_sha256": "fdcc65a1efae5215fc50910242401d0dff56474f0c8127469a47e58831168566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09406",
    "kind": "arxiv",
    "version": 1
  }
}