Pith Number

pith:6ZPVO5TK

pith:2011:6ZPVO5TKIV56P5OSWK4Z3VNYYQ

not attested not anchored not stored refs pending

A Discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces

Isaac Pesenson

arxiv:1104.1711 v1 · 2011-04-09 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZPVO5TKIV56P5OSWK4Z3VNYYQ}

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	2026-05-18T04:24:43.301648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65f57766a457be7f5d2b2b99dd5b8c4223fc6a9f3d76e6485a08b64595e408a

Aliases

arxiv: 1104.1711 · arxiv_version: 1104.1711v1 · doi: 10.48550/arxiv.1104.1711 · pith_short_12: 6ZPVO5TKIV56 · pith_short_16: 6ZPVO5TKIV56P5OS · pith_short_8: 6ZPVO5TK

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/6ZPVO5TKIV56P5OSWK4Z3VNYYQ \
  | 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: f65f57766a457be7f5d2b2b99dd5b8c4223fc6a9f3d76e6485a08b64595e408a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd66826d83592d889998c32baa4653da50df6370fbfb642d5a0b5f5fbdcf601",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-09T14:28:17Z",
    "title_canon_sha256": "f468391edd188a96afc11f01bf923f8730f32d15f726c1d671a34e895d6c8fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1711",
    "kind": "arxiv",
    "version": 1
  }
}