Pith Number

pith:LZ3CXWLM

pith:2024:LZ3CXWLMF76YNS4LF2H7YZVBC3

not attested not anchored not stored refs pending

Approximative compactness in B\"ochner spaces

Guillaume Grelier, Jaime San Mart\'in

arxiv:2404.14939 v1 · 2024-04-23 · 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{LZ3CXWLMF76YNS4LF2H7YZVBC3}

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	2026-07-05T08:11:12.237844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e762bd96c2ffd86cb8b2e8ffc66a116d6c67f5376e4d39120c88dc3aa4d67b9

Aliases

arxiv: 2404.14939 · arxiv_version: 2404.14939v1 · doi: 10.48550/arxiv.2404.14939 · pith_short_12: LZ3CXWLMF76Y · pith_short_16: LZ3CXWLMF76YNS4L · pith_short_8: LZ3CXWLM

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/LZ3CXWLMF76YNS4LF2H7YZVBC3 \
  | 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: 5e762bd96c2ffd86cb8b2e8ffc66a116d6c67f5376e4d39120c88dc3aa4d67b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0dde931d6f87d71d05b604cf11346ac8cc0a80bf3c861935d1d85e3500e061c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-04-23T11:31:35Z",
    "title_canon_sha256": "eb8f349f4c47f4d07fc7ebb6982165b164b30cf02fcbb336fabaa49f838c613c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.14939",
    "kind": "arxiv",
    "version": 1
  }
}