Pith Number

pith:OUROCWVP

pith:2023:OUROCWVPMOOXEHVDMG3P6RRDSF

not attested not anchored not stored refs pending

A note on nonseparable Lipschitz-free spaces

Anton\'in Proch\'azka, Guillaume Grelier, Ram\'on J. Aliaga

arxiv:2312.14678 v2 · 2023-12-22 · 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{OUROCWVPMOOXEHVDMG3P6RRDSF}

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	2026-07-05T08:04:36.617511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7522e15aaf639d721ea361b6ff462391736e490d6cf04760d411071d33fbc9ac

Aliases

arxiv: 2312.14678 · arxiv_version: 2312.14678v2 · doi: 10.48550/arxiv.2312.14678 · pith_short_12: OUROCWVPMOOX · pith_short_16: OUROCWVPMOOXEHVD · pith_short_8: OUROCWVP

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/OUROCWVPMOOXEHVDMG3P6RRDSF \
  | 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: 7522e15aaf639d721ea361b6ff462391736e490d6cf04760d411071d33fbc9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d126cc7809f19fd908edcf3c7ea61c0b86d4b7bde2391e6ad1c65eb786f9d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-22T13:29:55Z",
    "title_canon_sha256": "8d2dfbc64d824fdda31e8cbb29ee32fe6ba597c82de12506e75152911973f924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14678",
    "kind": "arxiv",
    "version": 2
  }
}