Pith Number

pith:NLE2DI5M

pith:2013:NLE2DI5MH7M7ITPBF3PK3N3GLW

not attested not anchored not stored refs pending

On the level sets of the Takagi-van der Waerden functions

Pieter C. Allaart

arxiv:1312.2119 v2 · 2013-12-07 · 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{NLE2DI5MH7M7ITPBF3PK3N3GLW}

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	2026-05-18T02:30:32.386652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac9a1a3ac3fd9f44de12edeadb7665d883ad370b20e00b21a0d60a619375ed5

Aliases

arxiv: 1312.2119 · arxiv_version: 1312.2119v2 · doi: 10.48550/arxiv.1312.2119 · pith_short_12: NLE2DI5MH7M7 · pith_short_16: NLE2DI5MH7M7ITPB · pith_short_8: NLE2DI5M

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/NLE2DI5MH7M7ITPBF3PK3N3GLW \
  | 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: 6ac9a1a3ac3fd9f44de12edeadb7665d883ad370b20e00b21a0d60a619375ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3426c8c9a4d55de9c296f019898400ad714564d97b6f475dc567de9a67b56a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-07T17:54:39Z",
    "title_canon_sha256": "d96deffaabc36d5c64dccfde1061b19c42feae28aad216369d89b7090bf84489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2119",
    "kind": "arxiv",
    "version": 2
  }
}