Pith Number

pith:VKZDD4IC

pith:2011:VKZDD4ICPSXN2PULTK7OD7JZKL

not attested not anchored not stored refs pending

A note on the spaces of variable integrability and summability of Almeida and H\"ast\"o

Henning Kempka, Jan Vybiral

arxiv:1102.1597 v2 · 2011-02-08 · 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{VKZDD4ICPSXN2PULTK7OD7JZKL}

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	2026-05-18T04:05:27.643312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab231f1027caedd3e8b9abee1fd3952d7356a01872aa4969a728621b942f01b

Aliases

arxiv: 1102.1597 · arxiv_version: 1102.1597v2 · doi: 10.48550/arxiv.1102.1597 · pith_short_12: VKZDD4ICPSXN · pith_short_16: VKZDD4ICPSXN2PUL · pith_short_8: VKZDD4IC

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/VKZDD4ICPSXN2PULTK7OD7JZKL \
  | 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: aab231f1027caedd3e8b9abee1fd3952d7356a01872aa4969a728621b942f01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9953d34795a4c09bd84b56b2ace765f9d1a3a6090e250cb137dbc8714db0b1a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-08T13:09:00Z",
    "title_canon_sha256": "59b2717b41642d811cc82c1c38166c925388a467aeaaf517c9c13c538387f3c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1597",
    "kind": "arxiv",
    "version": 2
  }
}