Pith Number

pith:ALVKWMJD

pith:2012:ALVKWMJDA7M23HHLBXVRMH5CQZ

not attested not anchored not stored refs pending

Korovkin results and Frobenius optimal approximants for infinite dimensional bounded linear operators

Kiran Kumar, M. N. N. Namboodiri, Stefano Serra-Capizzano

arxiv:1204.1696 v1 · 2012-04-08 · 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{ALVKWMJDA7M23HHLBXVRMH5CQZ}

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	2026-05-18T03:58:23.393422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02eaab312307d9ad9ceb0deb161fa28653f7445066f037bd8ece96f3e393ea39

Aliases

arxiv: 1204.1696 · arxiv_version: 1204.1696v1 · doi: 10.48550/arxiv.1204.1696 · pith_short_12: ALVKWMJDA7M2 · pith_short_16: ALVKWMJDA7M23HHL · pith_short_8: ALVKWMJD

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/ALVKWMJDA7M23HHLBXVRMH5CQZ \
  | 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: 02eaab312307d9ad9ceb0deb161fa28653f7445066f037bd8ece96f3e393ea39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba58e2725faf68f7ff7ff3110ec923296a1868b433242b48973cc523271fb5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-08T02:14:29Z",
    "title_canon_sha256": "b4700ace515f4764a98800f97dd2b839716a9aed32081dcc151b7fa1ecfc79bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1696",
    "kind": "arxiv",
    "version": 1
  }
}