Pith Number

pith:CIPOXFRR

pith:2012:CIPOXFRRNFH5RVQL3VYBRH2GYP

not attested not anchored not stored refs pending

Fractional Laplacian on the torus

L. Roncal, P. R. Stinga

arxiv:1209.6104 v3 · 2012-09-27 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIPOXFRRNFH5RVQL3VYBRH2GYP}

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	2026-05-18T02:28:32.116405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121eeb9631694fd8d60bdd70189f46c3c44d2f0d4f9a295c978950daf4b4cdb2

Aliases

arxiv: 1209.6104 · arxiv_version: 1209.6104v3 · doi: 10.48550/arxiv.1209.6104 · pith_short_12: CIPOXFRRNFH5 · pith_short_16: CIPOXFRRNFH5RVQL · pith_short_8: CIPOXFRR

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/CIPOXFRRNFH5RVQL3VYBRH2GYP \
  | 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: 121eeb9631694fd8d60bdd70189f46c3c44d2f0d4f9a295c978950daf4b4cdb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbdb1e7f0765569585e1b4a54ff048a41251ac0111f4e2559092d613725feaa",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-27T01:01:55Z",
    "title_canon_sha256": "35367afcd4457b177d3feadfdf220f941565164a4e209888e4cb4ca9e3559b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6104",
    "kind": "arxiv",
    "version": 3
  }
}