Pith Number

pith:67J6MUMZ

pith:2013:67J6MUMZALZE2HSYT7QQPIHTQI

not attested not anchored not stored refs pending

On fractional Laplacians

Alexander I. Nazarov, Roberta Musina

arxiv:1308.3606 v2 · 2013-08-16 · 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{67J6MUMZALZE2HSYT7QQPIHTQI}

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	2026-05-18T03:11:12.604717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d3e6519902f24d1e589fe107a0f38234a528c0dac0584cec710b2ead8abdfc

Aliases

arxiv: 1308.3606 · arxiv_version: 1308.3606v2 · doi: 10.48550/arxiv.1308.3606 · pith_short_12: 67J6MUMZALZE · pith_short_16: 67J6MUMZALZE2HSY · pith_short_8: 67J6MUMZ

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/67J6MUMZALZE2HSYT7QQPIHTQI \
  | 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: f7d3e6519902f24d1e589fe107a0f38234a528c0dac0584cec710b2ead8abdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d163fc60a74f81c94f7b279c60568445f687b01940d8214a2435e6a546d828b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-16T11:29:25Z",
    "title_canon_sha256": "f6196e232e69bfaf174b134bc6074a366611482d963f2bc97853c76d8ba356ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3606",
    "kind": "arxiv",
    "version": 2
  }
}