Pith Number

pith:E4RNBYPL

pith:2009:E4RNBYPL5NXG4QVIKRE2E6A7D3

not attested not anchored not stored refs pending

The Kolmogorov-Riesz compactness theorem

Harald Hanche-Olsen, Helge Holden

arxiv:0906.4883 v2 · 2009-06-26 · math.CA · 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{E4RNBYPL5NXG4QVIKRE2E6A7D3}

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	2026-05-18T04:38:50.896039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2722d0e1ebeb6e6e42a85449a2781f1eecbd0740f36a59fab6bfe5c06f185b7c

Aliases

arxiv: 0906.4883 · arxiv_version: 0906.4883v2 · doi: 10.48550/arxiv.0906.4883 · pith_short_12: E4RNBYPL5NXG · pith_short_16: E4RNBYPL5NXG4QVI · pith_short_8: E4RNBYPL

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/E4RNBYPL5NXG4QVIKRE2E6A7D3 \
  | 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: 2722d0e1ebeb6e6e42a85449a2781f1eecbd0740f36a59fab6bfe5c06f185b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6c0c2024171caf21e27fde57748a458da8fb84b46c1466e13d64b6be9e9d39",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-06-26T09:28:55Z",
    "title_canon_sha256": "2895fb467f637d92cc4a7d563243f1efd04cefef755ae7b581957b12ba186d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4883",
    "kind": "arxiv",
    "version": 2
  }
}