Pith Number

pith:A7S2TEUB

pith:2012:A7S2TEUBVN46LR5M25VGP2CUNS

not attested not anchored not stored refs pending

Riesz Potentials, Bessel Potentials and Fractional Derivatives on Triebel-Lizorkin spaces for the Gaussian Measure

A. Eduardo Gatto, Ebner Pineda, Wilfredo Urbina

arxiv:1209.6133 v1 · 2012-09-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7S2TEUBVN46LR5M25VGP2CUNS}

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	2026-05-18T03:44:35.264410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e5a99281ab79e5c7acd76a67e8546c88b059cd2cb54e881f375709c728b6d6

Aliases

arxiv: 1209.6133 · arxiv_version: 1209.6133v1 · doi: 10.48550/arxiv.1209.6133 · pith_short_12: A7S2TEUBVN46 · pith_short_16: A7S2TEUBVN46LR5M · pith_short_8: A7S2TEUB

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/A7S2TEUBVN46LR5M25VGP2CUNS \
  | 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: 07e5a99281ab79e5c7acd76a67e8546c88b059cd2cb54e881f375709c728b6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be537ea7e01dd6aa12717144893203e9b4e134015e275e1f7cf6b7d601ff46d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-27T06:28:44Z",
    "title_canon_sha256": "99a8df0f2648df4c1478f162baf890ba9c1450890cb66c52a1194e0046817e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6133",
    "kind": "arxiv",
    "version": 1
  }
}