Pith Number

pith:FO7CRLXU

pith:2010:FO7CRLXUR7PPTXILLKNJMV2T77

not attested not anchored not stored refs pending

The improper infinite derivatives of Takagi's nowhere-differentiable function

Kiko Kawamura, Pieter C. Allaart

arxiv:1002.2731 v1 · 2010-02-13 · 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{FO7CRLXUR7PPTXILLKNJMV2T77}

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	2026-05-18T04:41:16.277666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bbe28aef48fdef9dd0b5a9a965753ffd8ba7ee074d5b1d43c8b448bd56c74f5

Aliases

arxiv: 1002.2731 · arxiv_version: 1002.2731v1 · doi: 10.48550/arxiv.1002.2731 · pith_short_12: FO7CRLXUR7PP · pith_short_16: FO7CRLXUR7PPTXIL · pith_short_8: FO7CRLXU

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/FO7CRLXUR7PPTXILLKNJMV2T77 \
  | 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: 2bbe28aef48fdef9dd0b5a9a965753ffd8ba7ee074d5b1d43c8b448bd56c74f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba4eb0ecbe8b6652aa6f2963120c0d1839089f547411895aa2cf6487b57d2e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-13T21:04:45Z",
    "title_canon_sha256": "35754669bdf8417ee77b439d0fce84297a2020bac014bef3dbc8a16a3d889e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2731",
    "kind": "arxiv",
    "version": 1
  }
}