Pith Number

pith:6Y644XDX

pith:2018:6Y644XDX3SZSWDN5BHVW26YBR5

not attested not anchored not stored refs pending

Pe{\l}czy\'nski space is isomorphic to the Lipschitz free space over a compact set

Antonin Prochazka, Luis C. Garc\'ia-Lirola

arxiv:1808.00859 v2 · 2018-08-02 · 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{6Y644XDX3SZSWDN5BHVW26YBR5}

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	2026-07-05T00:18:49.567718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f63dce5c77dcb32b0dbd09eb6d7b018f51128a3c1e2678cc392ed8917aef46d4

Aliases

arxiv: 1808.00859 · arxiv_version: 1808.00859v2 · doi: 10.48550/arxiv.1808.00859 · pith_short_12: 6Y644XDX3SZS · pith_short_16: 6Y644XDX3SZSWDN5 · pith_short_8: 6Y644XDX

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/6Y644XDX3SZSWDN5BHVW26YBR5 \
  | 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: f63dce5c77dcb32b0dbd09eb6d7b018f51128a3c1e2678cc392ed8917aef46d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc944bcc5ef881f66b640aeb4b630e19a8ff8d294f1cfcc74c0d546b4a9c600",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-02T15:33:44Z",
    "title_canon_sha256": "68830d6ad108e74731e0bec1447a546505df892792a0eb2d5822d3c4ef8b9658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00859",
    "kind": "arxiv",
    "version": 2
  }
}