Pith Number

pith:4MTNOQLE

pith:2013:4MTNOQLEUZFD7TDJ7UQWX5FGYH

not attested not anchored not stored refs pending

Regularity for the supercritical fractional Laplacian with drift

Camelia A. Pop, Charles L. Epstein

arxiv:1309.5892 v2 · 2013-09-23 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MTNOQLEUZFD7TDJ7UQWX5FGYH}

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	2026-05-18T03:01:10.186733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e326d74164a64a3fcc69fd216bf4a6c1f9db88337fa34ae8a67458397d503c9f

Aliases

arxiv: 1309.5892 · arxiv_version: 1309.5892v2 · doi: 10.48550/arxiv.1309.5892 · pith_short_12: 4MTNOQLEUZFD · pith_short_16: 4MTNOQLEUZFD7TDJ · pith_short_8: 4MTNOQLE

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/4MTNOQLEUZFD7TDJ7UQWX5FGYH \
  | 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: e326d74164a64a3fcc69fd216bf4a6c1f9db88337fa34ae8a67458397d503c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8925fa1dbd841d8215c95ad62bfc1a451eb51042500f570a583c121329de7607",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-23T17:41:01Z",
    "title_canon_sha256": "977531c178d4cad1702cf4a6b15c3dd9d379bde63bc4b40f934666d92bb3d08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5892",
    "kind": "arxiv",
    "version": 2
  }
}