Pith Number

pith:YXBPJSEL

pith:2015:YXBPJSEL56AQEXBX3FQMV6FPRC

not attested not anchored not stored refs pending

The H\"older exponent of some Fourier series

Fernando Chamizo, Izabela Petrykiewicz, Seraf\'in Ruiz-Cabello

arxiv:1504.04998 v1 · 2015-04-20 · 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{YXBPJSEL56AQEXBX3FQMV6FPRC}

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	2026-05-18T02:18:22.992027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c2f4c88bef81025c37d960caf8af8886bd7fa647a1110fcecb80c94c74d50c

Aliases

arxiv: 1504.04998 · arxiv_version: 1504.04998v1 · doi: 10.48550/arxiv.1504.04998 · pith_short_12: YXBPJSEL56AQ · pith_short_16: YXBPJSEL56AQEXBX · pith_short_8: YXBPJSEL

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/YXBPJSEL56AQEXBX3FQMV6FPRC \
  | 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: c5c2f4c88bef81025c37d960caf8af8886bd7fa647a1110fcecb80c94c74d50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155c681f40d2f4ec6761ce5a789cdb0bae7e82b9e69a3474c3f6d7c693c6a8df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-20T10:23:27Z",
    "title_canon_sha256": "ba837c3a149538d86de0bb91808ae790383ce4f169afe4fe8a75bfb06c55bc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04998",
    "kind": "arxiv",
    "version": 1
  }
}