Pith Number

pith:W45WTR3Z

pith:2013:W45WTR3ZQTVOEEBA3QYRCCTCYU

not attested not anchored not stored refs pending

Luzin's Condition (N) and Modulus of Continuity

Jan Mal\'y, Pekka Koskela, Thomas Z\"urcher

arxiv:1309.3094 v1 · 2013-09-12 · 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{W45WTR3ZQTVOEEBA3QYRCCTCYU}

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	2026-05-18T03:13:32.875941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73b69c77984eae21020dc31110a62c5142662a2a2c262d16c0a5a9e80c541e2

Aliases

arxiv: 1309.3094 · arxiv_version: 1309.3094v1 · doi: 10.48550/arxiv.1309.3094 · pith_short_12: W45WTR3ZQTVO · pith_short_16: W45WTR3ZQTVOEEBA · pith_short_8: W45WTR3Z

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/W45WTR3ZQTVOEEBA3QYRCCTCYU \
  | 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: b73b69c77984eae21020dc31110a62c5142662a2a2c262d16c0a5a9e80c541e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31a4509c1e3dcf147533304379f0bc1dd03238b6504b3aee0aa00e7d936978a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-12T10:14:41Z",
    "title_canon_sha256": "d591b54aeeb0727e049490c08ac6b2a29ff59385ce71707ce63a5dda251135c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3094",
    "kind": "arxiv",
    "version": 1
  }
}