Pith Number

pith:D4YBIXKB

pith:2012:D4YBIXKBTYU2K7COSUMP6EKI7M

not attested not anchored not stored refs pending

On the pointwise convergence of the sequence of partial Fourier Sums along lacunary subsequences

Victor Lie

arxiv:1204.6542 v2 · 2012-04-30 · 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{D4YBIXKBTYU2K7COSUMP6EKI7M}

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	2026-05-18T03:48:33.733364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f30145d419e29a57c4e9518ff1148fb0dc3ae6821ee1e1752b8bf5c5990ad7d

Aliases

arxiv: 1204.6542 · arxiv_version: 1204.6542v2 · doi: 10.48550/arxiv.1204.6542 · pith_short_12: D4YBIXKBTYU2 · pith_short_16: D4YBIXKBTYU2K7CO · pith_short_8: D4YBIXKB

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/D4YBIXKBTYU2K7COSUMP6EKI7M \
  | 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: 1f30145d419e29a57c4e9518ff1148fb0dc3ae6821ee1e1752b8bf5c5990ad7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54155c0ce85ffc385f8347104437a2f9e2262a9dd07024790426d09bf77f1d6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-30T03:27:35Z",
    "title_canon_sha256": "860fa5944adaf638c6728643f16126cb55516e9a67eb779aa0004ac7483f9fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6542",
    "kind": "arxiv",
    "version": 2
  }
}