Pith Number

pith:WJ2UD4IG

pith:2013:WJ2UD4IGY5Y7PVHE5SMHXFVCLE

not attested not anchored not stored refs pending

A note on a residual subset of Lipschitz functions on metric spaces

Fabio Cavalletti

arxiv:1306.4819 v1 · 2013-06-20 · math.AP · 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{WJ2UD4IGY5Y7PVHE5SMHXFVCLE}

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	2026-05-18T03:20:21.566250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27541f106c771f7d4e4ec987b96a25934acdb6d4326826eeb624da3b252893f

Aliases

arxiv: 1306.4819 · arxiv_version: 1306.4819v1 · doi: 10.48550/arxiv.1306.4819 · pith_short_12: WJ2UD4IGY5Y7 · pith_short_16: WJ2UD4IGY5Y7PVHE · pith_short_8: WJ2UD4IG

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/WJ2UD4IGY5Y7PVHE5SMHXFVCLE \
  | 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: b27541f106c771f7d4e4ec987b96a25934acdb6d4326826eeb624da3b252893f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99f942b8fc816a8dc827e93301481836973cd55791332d1950a16d247f36489",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-20T11:09:08Z",
    "title_canon_sha256": "8dbbcfb65ff15a9158469c20ef08d70889ae3667d9539031eb03204bd11fc3fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4819",
    "kind": "arxiv",
    "version": 1
  }
}