Pith Number

pith:LJPEYZHM

pith:2015:LJPEYZHMX27Q3P6OWDXCPLJ2QH

not attested not anchored not stored refs pending

Addendum to "The Kolmogorov--Riesz compactness theorem" (Expo. Math. 28:385--394 (2010))

Harald Hanche-Olsen, Helge Holden

arxiv:1508.07892 v2 · 2015-08-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJPEYZHMX27Q3P6OWDXCPLJ2QH}

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	2026-05-18T01:13:24.119499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5e4c64ecbebf0dbfceb0ee27ad3a81f915fbe00a99861d53529fd5172f427b

Aliases

arxiv: 1508.07892 · arxiv_version: 1508.07892v2 · doi: 10.48550/arxiv.1508.07892 · pith_short_12: LJPEYZHMX27Q · pith_short_16: LJPEYZHMX27Q3P6O · pith_short_8: LJPEYZHM

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/LJPEYZHMX27Q3P6OWDXCPLJ2QH \
  | 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: 5a5e4c64ecbebf0dbfceb0ee27ad3a81f915fbe00a99861d53529fd5172f427b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f82f9a709aad1eba92c595fcbb7dfd2b2c67303c7e049e87fcf456e304b12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-31T16:18:40Z",
    "title_canon_sha256": "3de365baa41c23929787836f8d702fed5db78f96f9876966788e2d933ce8849d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07892",
    "kind": "arxiv",
    "version": 2
  }
}