Pith Number

pith:LAHSXODK

pith:2015:LAHSXODKSEYMSLUPHBVKSWZD52

not attested not anchored not stored refs pending

An Application of Fourier Analysis to Riemann Sums

Tristram de Piro

arxiv:1503.03561 v1 · 2015-03-12 · 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{LAHSXODKSEYMSLUPHBVKSWZD52}

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	2026-05-18T02:24:58.166611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580f2bb86a9130c92e8f386aa95b23eea2111164781b1dc43503e0116c9beda4

Aliases

arxiv: 1503.03561 · arxiv_version: 1503.03561v1 · doi: 10.48550/arxiv.1503.03561 · pith_short_12: LAHSXODKSEYM · pith_short_16: LAHSXODKSEYMSLUP · pith_short_8: LAHSXODK

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/LAHSXODKSEYMSLUPHBVKSWZD52 \
  | 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: 580f2bb86a9130c92e8f386aa95b23eea2111164781b1dc43503e0116c9beda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6415f85b20b6e9b488f528b496f3a41a7e12b06c8f8a628fb55fb80f596ad4e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-12T02:19:42Z",
    "title_canon_sha256": "e9c8bdd934aadcd8812b3acf7ddd5362acaeb2ad9aec458e2ecfb421069f450b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03561",
    "kind": "arxiv",
    "version": 1
  }
}