Pith Number

pith:HLBFWWAV

pith:2011:HLBFWWAVKWMZLHSAFJIPKJOICX

not attested not anchored not stored refs pending

Absolutely convergent Fourier series. An improvement of the Beurling--Helson theorem

Vladimir Lebedev

arxiv:1112.4892 v3 · 2011-12-21 · 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{HLBFWWAVKWMZLHSAFJIPKJOICX}

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	2026-05-18T03:52:28.234547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac25b58155599959e402a50f525c815e17d4f025411ebb61df1cb6f616e8da9

Aliases

arxiv: 1112.4892 · arxiv_version: 1112.4892v3 · doi: 10.48550/arxiv.1112.4892 · pith_short_12: HLBFWWAVKWMZ · pith_short_16: HLBFWWAVKWMZLHSA · pith_short_8: HLBFWWAV

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/HLBFWWAVKWMZLHSAFJIPKJOICX \
  | 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: 3ac25b58155599959e402a50f525c815e17d4f025411ebb61df1cb6f616e8da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793692971dd5b67df1652e82bd4509dad46e1f5b672bcc7973d2b22fc7d15564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-21T00:17:58Z",
    "title_canon_sha256": "7830225e4940a85930b23fceeba6e4ea5d565e8c925acdde687579c2ff603e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4892",
    "kind": "arxiv",
    "version": 3
  }
}