Pith Number

pith:SRH3VTBI

pith:2011:SRH3VTBI4D2BOXOLJGXWXVUQ47

not attested not anchored not stored refs pending

On some Critical Problems for the Fractional Laplacian Operator

A. de Pablo, B. Barrios, E. Colorado, U. S\'anchez

arxiv:1106.6081 v2 · 2011-06-29 · 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{SRH3VTBI4D2BOXOLJGXWXVUQ47}

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	2026-05-18T04:17:14.701527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

944fbacc28e0f4175dcb49af6bd690e7d62a8f9f107c3cef50dfaf67d8346dd0

Aliases

arxiv: 1106.6081 · arxiv_version: 1106.6081v2 · doi: 10.48550/arxiv.1106.6081 · pith_short_12: SRH3VTBI4D2B · pith_short_16: SRH3VTBI4D2BOXOL · pith_short_8: SRH3VTBI

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/SRH3VTBI4D2BOXOLJGXWXVUQ47 \
  | 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: 944fbacc28e0f4175dcb49af6bd690e7d62a8f9f107c3cef50dfaf67d8346dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b94d84c94a2d806db019bc3eedd11ada84f470e01ed90dd92295f103345b06b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-29T23:29:40Z",
    "title_canon_sha256": "282a98209cb0698f071e1fb2e76959447aaf88fd0291f6832cad5e20ebbec445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6081",
    "kind": "arxiv",
    "version": 2
  }
}