Pith Number

pith:IDT6WWHL

pith:2011:IDT6WWHLDAQVNTGHE2Y7WBA4WO

not attested not anchored not stored refs pending

On Fourier transforms of radial functions and distributions

Gerald Teschl, Loukas Grafakos

arxiv:1112.5469 v4 · 2011-12-22 · math.CA · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDT6WWHLDAQVNTGHE2Y7WBA4WO}

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	2026-05-18T03:33:26.386738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e7eb58eb182156ccc726b1fb041cb3881bb509d12d0f941f537e209772c121

Aliases

arxiv: 1112.5469 · arxiv_version: 1112.5469v4 · doi: 10.48550/arxiv.1112.5469 · pith_short_12: IDT6WWHLDAQV · pith_short_16: IDT6WWHLDAQVNTGH · pith_short_8: IDT6WWHL

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/IDT6WWHLDAQVNTGHE2Y7WBA4WO \
  | 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: 40e7eb58eb182156ccc726b1fb041cb3881bb509d12d0f941f537e209772c121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa5d65833265213cb8482be419d8d5719442d2f413dc13ac5156ff304fe70aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-22T21:36:59Z",
    "title_canon_sha256": "f55a4db77abe9b438773537164835d1c9277ce96bcaf9878e19dac930a346741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5469",
    "kind": "arxiv",
    "version": 4
  }
}