Pith Number

pith:WUETK75Z

pith:2020:WUETK75ZDKNMSO5UY3MRD5NKCC

not attested not anchored not stored refs pending

Points of differentiability of the norm in Lipschitz-free spaces

Abraham Rueda Zoca, Ram\'on J. Aliaga

arxiv:2003.01439 v1 · 2020-03-03 · 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{WUETK75ZDKNMSO5UY3MRD5NKCC}

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	2026-07-05T04:05:09.381013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b509357fb91a9ac93bb4c6d911f5aa108dd0400f83a95da20831fc2eff36378f

Aliases

arxiv: 2003.01439 · arxiv_version: 2003.01439v1 · doi: 10.48550/arxiv.2003.01439 · pith_short_12: WUETK75ZDKNM · pith_short_16: WUETK75ZDKNMSO5U · pith_short_8: WUETK75Z

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/WUETK75ZDKNMSO5UY3MRD5NKCC \
  | 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: b509357fb91a9ac93bb4c6d911f5aa108dd0400f83a95da20831fc2eff36378f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffa6070d9f3594a713baa7b03057e84b66074cc4dacb9997c256485d9556fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-03-03T10:48:13Z",
    "title_canon_sha256": "6f9ef81503c902e384e0a80979389e24760e3d8633d5593ea62d30aacc0cc1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01439",
    "kind": "arxiv",
    "version": 1
  }
}