Pith Number

pith:XPHLNZ4C

pith:2010:XPHLNZ4CSLIZORFHAGALUETEPT

not attested not anchored not stored refs pending

At which points exactly has Lebesgue's singular function the derivative zero ?

Kiko Kawamura

arxiv:1012.5535 v1 · 2010-12-26 · 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{XPHLNZ4CSLIZORFHAGALUETEPT}

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	2026-05-18T04:32:23.117061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbceb6e78292d19744a70180ba12647ccd78ee6042b299da71f759fd35d547c0

Aliases

arxiv: 1012.5535 · arxiv_version: 1012.5535v1 · doi: 10.48550/arxiv.1012.5535 · pith_short_12: XPHLNZ4CSLIZ · pith_short_16: XPHLNZ4CSLIZORFH · pith_short_8: XPHLNZ4C

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/XPHLNZ4CSLIZORFHAGALUETEPT \
  | 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: bbceb6e78292d19744a70180ba12647ccd78ee6042b299da71f759fd35d547c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ddbe1476c2a9c28896571a21ae5a9f4783ebec998d322dc31963c73b038805",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-26T18:29:18Z",
    "title_canon_sha256": "414330a63c68d5bdab44eac591acfb52e3c321ff5d0f7dd57a8d5303cc667505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5535",
    "kind": "arxiv",
    "version": 1
  }
}