Pith Number

pith:OYVMKUYN

pith:2018:OYVMKUYNT3CYO227DO3BYJ34V6

not attested not anchored not stored refs pending

Sparse Averages of Partial Sums of Fourier Series

Ethan Goolish, Robert S. Strichartz

arxiv:1807.07636 v2 · 2018-07-19 · 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{OYVMKUYNT3CYO227DO3BYJ34V6}

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	2026-05-17T23:51:05.627575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762ac5530d9ec5876b5f1bb61c277caf87fd740f75e1c8dda049ca2d58ff5c77

Aliases

arxiv: 1807.07636 · arxiv_version: 1807.07636v2 · doi: 10.48550/arxiv.1807.07636 · pith_short_12: OYVMKUYNT3CY · pith_short_16: OYVMKUYNT3CYO227 · pith_short_8: OYVMKUYN

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/OYVMKUYNT3CYO227DO3BYJ34V6 \
  | 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: 762ac5530d9ec5876b5f1bb61c277caf87fd740f75e1c8dda049ca2d58ff5c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45c0f14289f9a14b09c027f60134212070df3de604e7e52ecdceee42eec68ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-19T20:51:12Z",
    "title_canon_sha256": "dd76915c7506d2c489b0ade1bd1bbb9d7b59d2d2344d5b6de8a19cf62d76dd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07636",
    "kind": "arxiv",
    "version": 2
  }
}