Pith Number

pith:FYH5LSEQ

pith:2016:FYH5LSEQV3ZVYUKOL7LCH2RCWH

not attested not anchored not stored refs pending

Simple proofs of nowhere-differentiability for Weierstrass's function and cases of slow growth

Jon Johnsen

arxiv:1610.06354 v1 · 2016-10-20 · 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{FYH5LSEQV3ZVYUKOL7LCH2RCWH}

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	2026-05-18T01:01:43.479583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0fd5c890aef35c514e5fd623ea22b1dbfa65ea45d05004a3caa4ddd9ea954a

Aliases

arxiv: 1610.06354 · arxiv_version: 1610.06354v1 · doi: 10.48550/arxiv.1610.06354 · pith_short_12: FYH5LSEQV3ZV · pith_short_16: FYH5LSEQV3ZVYUKO · pith_short_8: FYH5LSEQ

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/FYH5LSEQV3ZVYUKOL7LCH2RCWH \
  | 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: 2e0fd5c890aef35c514e5fd623ea22b1dbfa65ea45d05004a3caa4ddd9ea954a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d17e0fc07e45a674eaf5243f2bccc00f245fc07d77254bd6cfc2162b451d969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-20T11:02:40Z",
    "title_canon_sha256": "6cf60f95edb09169a3df8fd63bcccb0b2250ce63487e9f2f0c3037175782dd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06354",
    "kind": "arxiv",
    "version": 1
  }
}