Pith Number

pith:R4G67VHO

pith:2014:R4G67VHO4RSN34A2QOW4AU7VM2

not attested not anchored not stored refs pending

Abstract Ces\`aro spaces. II. Optimal range

Karol Le\'snik, Lech Maligranda

arxiv:1403.6439 v1 · 2014-03-25 · 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{R4G67VHO4RSN34A2QOW4AU7VM2}

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	2026-05-18T02:55:36.901494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0defd4eee464ddf01a83adc053f566b79e3b0fbd669716a7eefd2d4a9b56bf

Aliases

arxiv: 1403.6439 · arxiv_version: 1403.6439v1 · doi: 10.48550/arxiv.1403.6439 · pith_short_12: R4G67VHO4RSN · pith_short_16: R4G67VHO4RSN34A2 · pith_short_8: R4G67VHO

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/R4G67VHO4RSN34A2QOW4AU7VM2 \
  | 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: 8f0defd4eee464ddf01a83adc053f566b79e3b0fbd669716a7eefd2d4a9b56bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65e06606f66249a2ec480c67ff38853975bec7072391ad2488e4241ce450a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-25T18:11:57Z",
    "title_canon_sha256": "721719159be9def01f226f4ff010ae9c97175a16a5241f5fc61c6977e7fe241b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6439",
    "kind": "arxiv",
    "version": 1
  }
}