pith. sign in
Pith Number

pith:2NVLVOFC

pith:2014:2NVLVOFCNEVKWA5ZQHLSZBDOWU
not attested not anchored not stored refs pending

Abstract Ces\`aro Spaces. I. Duality

Karol Le\'snik, Lech Maligranda

arxiv:1401.6415 v2 · 2014-01-24 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2NVLVOFCNEVKWA5ZQHLSZBDOWU}

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 2026-05-18T02:55:58.624932Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d36abab8a2692aab03b981d72c846eb50bc5443127e209fe31e971ef72ecb050

Aliases

arxiv: 1401.6415 · arxiv_version: 1401.6415v2 · doi: 10.48550/arxiv.1401.6415 · pith_short_12: 2NVLVOFCNEVK · pith_short_16: 2NVLVOFCNEVKWA5Z · pith_short_8: 2NVLVOFC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2NVLVOFCNEVKWA5ZQHLSZBDOWU \
  | 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: d36abab8a2692aab03b981d72c846eb50bc5443127e209fe31e971ef72ecb050
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "82f451b4a525c01e49fc4673dfef5789dcf9bafb60a89c61a650caf111b6ad03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-24T18:09:27Z",
    "title_canon_sha256": "7d23c451833452412e30e620b365bc66d6e6850cf7aa378953c079b512d6376d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6415",
    "kind": "arxiv",
    "version": 2
  }
}