Pith Number

pith:B644K4XC

pith:2018:B644K4XCEFLPLFV3VSLOTDJ2Y5

not attested not anchored not stored refs pending

Lipschitz free spaces on finite metric spaces

Denka Kutzarova, Mikhail I. Ostrovskii, Stephen J. Dilworth

arxiv:1807.03814 v1 · 2018-07-10 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B644K4XCEFLPLFV3VSLOTDJ2Y5}

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	2026-05-18T00:10:59.013981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb9c572e22156f596bbac96e98d3ac76ab2f30d64020918740d560af1a89bb5

Aliases

arxiv: 1807.03814 · arxiv_version: 1807.03814v1 · doi: 10.48550/arxiv.1807.03814 · pith_short_12: B644K4XCEFLP · pith_short_16: B644K4XCEFLPLFV3 · pith_short_8: B644K4XC

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/B644K4XCEFLPLFV3VSLOTDJ2Y5 \
  | 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: 0fb9c572e22156f596bbac96e98d3ac76ab2f30d64020918740d560af1a89bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72735e725077c9a10ff0911b172841f92f50f7adbfdde6bab1fe659b7b9892b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-10T18:24:18Z",
    "title_canon_sha256": "2470c5ab2cc37121251252b8f2f3078ede5aadbefa49696d7f4ad0eaca327692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03814",
    "kind": "arxiv",
    "version": 1
  }
}