Pith Number

pith:TRTMZX2E

pith:2012:TRTMZX2E6ODDLAF4M4O2SLYDVF

not attested not anchored not stored refs pending

On the Interplay of Regularity and Decay in Case of Radial Functions I. Inhomogeneous spaces

Jan Vybiral, Leszek Skrzypczak, Winfried Sickel

arxiv:1201.5007 v1 · 2012-01-24 · 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{TRTMZX2E6ODDLAF4M4O2SLYDVF}

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	2026-05-18T04:03:55.555180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c66ccdf44f3863580bc671da92f03a96522b7258eda9395955e33dc77eb84c9

Aliases

arxiv: 1201.5007 · arxiv_version: 1201.5007v1 · doi: 10.48550/arxiv.1201.5007 · pith_short_12: TRTMZX2E6ODD · pith_short_16: TRTMZX2E6ODDLAF4 · pith_short_8: TRTMZX2E

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/TRTMZX2E6ODDLAF4M4O2SLYDVF \
  | 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: 9c66ccdf44f3863580bc671da92f03a96522b7258eda9395955e33dc77eb84c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af7dfb7836bba7a62353de6821f3f840e1f799550229cf60a7243d3b31b4048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-24T15:15:44Z",
    "title_canon_sha256": "feb624302f1b6002cbd825a17da21d4a4c10d0ddcc2b6ab45f99a5b192053102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5007",
    "kind": "arxiv",
    "version": 1
  }
}