Pith Number

pith:QL427CXR

pith:2013:QL427CXRDKU4BP3JWYKGQO4BSO

not attested not anchored not stored refs pending

On the dimension of the graph of the classical Weierstrass function

Bal\'azs B\'ar\'any, Julia Romanowska, Krzysztof Bara\'nski

arxiv:1309.3759 v5 · 2013-09-15 · math.DS · 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{QL427CXRDKU4BP3JWYKGQO4BSO}

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	2026-05-18T02:32:39.010645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f9af8af11aa9c0bf69b614683b8193ab581c826ed9e56ebef0d3085ba8cb38

Aliases

arxiv: 1309.3759 · arxiv_version: 1309.3759v5 · doi: 10.48550/arxiv.1309.3759 · pith_short_12: QL427CXRDKU4 · pith_short_16: QL427CXRDKU4BP3J · pith_short_8: QL427CXR

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/QL427CXRDKU4BP3JWYKGQO4BSO \
  | 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: 82f9af8af11aa9c0bf69b614683b8193ab581c826ed9e56ebef0d3085ba8cb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726f0ff80bb1c73a0cdecfaceb19076491f8933cd78fca7b942e77b6f4a3cebb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-15T13:42:00Z",
    "title_canon_sha256": "7167224c22d1c6bff10cf84741bb02afef6a1163253f72cc17d084f4bfe0e1c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3759",
    "kind": "arxiv",
    "version": 5
  }
}