Pith Number

pith:WP5CNPLZ

pith:2010:WP5CNPLZWKKUBSMLERNHDDEZQZ

not attested not anchored not stored refs pending

Sampling in reproducing kernel Banach spaces on Lie groups

Jens Gerlach Christensen

arxiv:1008.0627 v1 · 2010-08-03 · 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{WP5CNPLZWKKUBSMLERNHDDEZQZ}

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	2026-05-18T04:42:36.355421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3fa26bd79b29540c98b245a718c998666b6fb2949da4fea1c4fdca0af1aaeaa

Aliases

arxiv: 1008.0627 · arxiv_version: 1008.0627v1 · doi: 10.48550/arxiv.1008.0627 · pith_short_12: WP5CNPLZWKKU · pith_short_16: WP5CNPLZWKKUBSML · pith_short_8: WP5CNPLZ

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/WP5CNPLZWKKUBSMLERNHDDEZQZ \
  | 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: b3fa26bd79b29540c98b245a718c998666b6fb2949da4fea1c4fdca0af1aaeaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799c4163fa79bff4ea5ebf932111260c5dd3600a897ec45539db6617e3e58a8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-03T19:42:42Z",
    "title_canon_sha256": "1207832743a08254f0b8c37260ae9352aec5c8411c977cb6495431fcb15c7f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0627",
    "kind": "arxiv",
    "version": 1
  }
}