Pith Number

pith:42UQIKKD

pith:2017:42UQIKKDLWVS3QR3ENT7MOCKZV

not attested not anchored not stored refs pending

Images of nowhere differentiable Lipschitz maps of $[0,1]$ into $L_1[0,1]$

Florin Catrina, Mikhail I. Ostrovskii

arxiv:1705.08916 v2 · 2017-05-24 · 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{42UQIKKDLWVS3QR3ENT7MOCKZV}

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	2026-05-18T00:01:10.467189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a90429435dab2dc23b2367f6384acd64d5d237b5d0291f5137a6aaab950860

Aliases

arxiv: 1705.08916 · arxiv_version: 1705.08916v2 · doi: 10.48550/arxiv.1705.08916 · pith_short_12: 42UQIKKDLWVS · pith_short_16: 42UQIKKDLWVS3QR3 · pith_short_8: 42UQIKKD

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/42UQIKKDLWVS3QR3ENT7MOCKZV \
  | 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: e6a90429435dab2dc23b2367f6384acd64d5d237b5d0291f5137a6aaab950860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48025e44c6a3342f3a661732d74926364c3bd0f0cdb8cde6e849154f1a8aeedf",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-24T18:17:39Z",
    "title_canon_sha256": "cae30d9de94b8902fd2012923864714555128b3da743c9fadd7c6c9978704410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08916",
    "kind": "arxiv",
    "version": 2
  }
}