Pith Number

pith:SAY3PDUE

pith:2013:SAY3PDUEE6TS4EQTUZLS2NCKN2

not attested not anchored not stored refs pending

Numerical integration of H\"older continuous, absolutely convergent Fourier-, Fourier cosine-, and Walsh series

Josef Dick

arxiv:1312.1135 v2 · 2013-12-04 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAY3PDUEE6TS4EQTUZLS2NCKN2}

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	2026-05-18T02:56:34.819583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9031b78e8427a72e1213a6572d344a6e82f430ee55fbc1f5fd617009097f9f06

Aliases

arxiv: 1312.1135 · arxiv_version: 1312.1135v2 · doi: 10.48550/arxiv.1312.1135 · pith_short_12: SAY3PDUEE6TS · pith_short_16: SAY3PDUEE6TS4EQT · pith_short_8: SAY3PDUE

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/SAY3PDUEE6TS4EQTUZLS2NCKN2 \
  | 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: 9031b78e8427a72e1213a6572d344a6e82f430ee55fbc1f5fd617009097f9f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30360416d2614f106fd51492d780b65823201fcb5eafca4852da91224cd020fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-04T12:22:50Z",
    "title_canon_sha256": "90ffd51cd6708e9c3bb914fec19670b9c506b96aa306b8b7b77b664af9c80559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1135",
    "kind": "arxiv",
    "version": 2
  }
}