Pith Number

pith:HSCBNTTZ

pith:2015:HSCBNTTZAC6UPVNFKZUPBNYCWM

not attested not anchored not stored refs pending

The bounded approximation property of variable Lebesgue spaces and nuclearity

Julio Delgado, Michael Ruzhansky

arxiv:1503.07202 v3 · 2015-03-24 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSCBNTTZAC6UPVNFKZUPBNYCWM}

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	2026-05-18T00:24:53.553188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8416ce7900bd47d5a55668f0b702b334f8561b8f0f2d1a54e3f7a619d0e3b3

Aliases

arxiv: 1503.07202 · arxiv_version: 1503.07202v3 · doi: 10.48550/arxiv.1503.07202 · pith_short_12: HSCBNTTZAC6U · pith_short_16: HSCBNTTZAC6UPVNF · pith_short_8: HSCBNTTZ

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/HSCBNTTZAC6UPVNFKZUPBNYCWM \
  | 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: 3c8416ce7900bd47d5a55668f0b702b334f8561b8f0f2d1a54e3f7a619d0e3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b8f69366beb54d0f3ce717f3ecfd5041cf2e05ee6aa537015a91c40245b527",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-24T20:59:54Z",
    "title_canon_sha256": "aee0083b5d06cc17bcac4aabfa2c1b6c83591efe47553c0a3cc364bf2283eef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07202",
    "kind": "arxiv",
    "version": 3
  }
}