Pith Number

pith:BSO2D6PL

pith:2015:BSO2D6PL4PYOB3QCQGFY6RHSWW

not attested not anchored not stored refs pending

Change of variable and the rapidity of decrease of Fourier coefficients

Vladimir Lebedev

arxiv:1508.06673 v2 · 2015-08-26 · 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{BSO2D6PL4PYOB3QCQGFY6RHSWW}

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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.

Cited by

1 paper in Pith

The Sobolev space $W_2^{1/2}$: Simultaneous improvement of functions by a homeomorphism of the circle

Receipt and verification

First computed	2026-05-18T01:33:41.719332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9da1f9ebe3f0e0ee02818b8f44f2b5ac8b19b014a2c1dfb70a38bda908c0a1

Aliases

arxiv: 1508.06673 · arxiv_version: 1508.06673v2 · doi: 10.48550/arxiv.1508.06673 · pith_short_12: BSO2D6PL4PYO · pith_short_16: BSO2D6PL4PYOB3QC · pith_short_8: BSO2D6PL

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/BSO2D6PL4PYOB3QCQGFY6RHSWW \
  | 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: 0c9da1f9ebe3f0e0ee02818b8f44f2b5ac8b19b014a2c1dfb70a38bda908c0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28a1ca914b5ac2844f40c7d5d9dca9df8114c3f5e5f00436425e318e718006e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-26T21:54:16Z",
    "title_canon_sha256": "08dd7cf740290d87cd06aefdbc9a9bab33e6fe43094dda5d9039ae481c625497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06673",
    "kind": "arxiv",
    "version": 2
  }
}