Pith Number

pith:EFPVKUUY

pith:2008:EFPVKUUY6QW6ZPTYDSFU5UDMFS

not attested not anchored not stored refs pending

A compact null set containing a differentiability point of every Lipschitz function

Michael Dor\'e, Olga Maleva

arxiv:0804.4576 v3 · 2008-04-29 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFPVKUUY6QW6ZPTYDSFU5UDMFS}

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	2026-05-18T04:22:09.440539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215f555298f42decbe781c8b4ed06c2c863e752b4e36b0b9155f216eaa660fe2

Aliases

arxiv: 0804.4576 · arxiv_version: 0804.4576v3 · doi: 10.48550/arxiv.0804.4576 · pith_short_12: EFPVKUUY6QW6 · pith_short_16: EFPVKUUY6QW6ZPTY · pith_short_8: EFPVKUUY

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/EFPVKUUY6QW6ZPTYDSFU5UDMFS \
  | 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: 215f555298f42decbe781c8b4ed06c2c863e752b4e36b0b9155f216eaa660fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ef95bcee9fdccf43b6e2ac57e97b305d6ba4519ed221d142ff384ad200211f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-04-29T18:08:49Z",
    "title_canon_sha256": "d2a2095311d74eca1c5bd9d4d8e11df973f8ce40617d52f7926fae0d0a92054c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4576",
    "kind": "arxiv",
    "version": 3
  }
}