Pith Number

pith:3Y4IFHKR

pith:2010:3Y4IFHKR4A4GHACTTVDIV44SXO

not attested not anchored not stored refs pending

Unions of arcs from Fourier partial sums

Dennis Courtney

arxiv:1002.0639 v2 · 2010-02-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y4IFHKR4A4GHACTTVDIV44SXO}

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	2026-05-18T04:38:59.246091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de38829d51e0386380539d468af392bb871ba1129c2e9c561a800e933c87bb62

Aliases

arxiv: 1002.0639 · arxiv_version: 1002.0639v2 · doi: 10.48550/arxiv.1002.0639 · pith_short_12: 3Y4IFHKR4A4G · pith_short_16: 3Y4IFHKR4A4GHACT · pith_short_8: 3Y4IFHKR

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/3Y4IFHKR4A4GHACTTVDIV44SXO \
  | 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: de38829d51e0386380539d468af392bb871ba1129c2e9c561a800e933c87bb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef540ffbd6d4d7d6226ee872438c34cc898e720499f4cbbe2f49619eff911d07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-03T03:26:36Z",
    "title_canon_sha256": "4d6824285d884d939a26a34a69bd00fcb1cead381e3a564f0a06739c1b9c0ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0639",
    "kind": "arxiv",
    "version": 2
  }
}