Pith Number

pith:DNECDZ5Q

pith:2013:DNECDZ5QQXZBFTFNU4VJJHUKN3

not attested not anchored not stored refs pending

H\"older regularity of arithmetic Fourier series arising from modular forms

Izabela Petrykiewicz

arxiv:1311.0655 v3 · 2013-11-04 · math.NT · 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{DNECDZ5QQXZBFTFNU4VJJHUKN3}

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	2026-05-18T02:51:23.088878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4821e7b085f212ccada72a949e8a6efc6979f6c656d8e1af2bb00addb53d1f

Aliases

arxiv: 1311.0655 · arxiv_version: 1311.0655v3 · doi: 10.48550/arxiv.1311.0655 · pith_short_12: DNECDZ5QQXZB · pith_short_16: DNECDZ5QQXZBFTFN · pith_short_8: DNECDZ5Q

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/DNECDZ5QQXZBFTFNU4VJJHUKN3 \
  | 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: 1b4821e7b085f212ccada72a949e8a6efc6979f6c656d8e1af2bb00addb53d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e6e12e4683971a62e6529e6f07dc6398e4c1bef86adc80b7cb54e205048281",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-04T11:54:22Z",
    "title_canon_sha256": "aec4caf1185d640bed974526655c5d460f1c679a9cd9cb1d1f38726720aa6bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0655",
    "kind": "arxiv",
    "version": 3
  }
}