Pith Number

pith:UMV7UY2U

pith:2013:UMV7UY2UGYVNRM443BIPYRPIZT

not attested not anchored not stored refs pending

A Simple Proof of the Uniform Convergence of Fourier Series Using Nonstandard Analysis

Tristram de Piro

arxiv:1311.3597 v1 · 2013-11-14 · math.AP · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMV7UY2UGYVNRM443BIPYRPIZT}

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	2026-05-18T03:07:04.136655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32bfa6354362ad8b39cd850fc45e8ccc913bcb57d0dc65e8dfd8268eb35d962

Aliases

arxiv: 1311.3597 · arxiv_version: 1311.3597v1 · doi: 10.48550/arxiv.1311.3597 · pith_short_12: UMV7UY2UGYVN · pith_short_16: UMV7UY2UGYVNRM44 · pith_short_8: UMV7UY2U

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/UMV7UY2UGYVNRM443BIPYRPIZT \
  | 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: a32bfa6354362ad8b39cd850fc45e8ccc913bcb57d0dc65e8dfd8268eb35d962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5f4b534254f2574761b76fcfcfcb268e128661f08ef45caeba837ffb584e7f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-14T18:22:50Z",
    "title_canon_sha256": "b5b46f650c93b3e1d005a4fa95b6104aa6dcb4cf0a98a0f2ed9bdd3c19d5003a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3597",
    "kind": "arxiv",
    "version": 1
  }
}