Pith Number

pith:APV7YFFB

pith:2017:APV7YFFBZ7QLQBM2OJLLULX4ZA

not attested not anchored not stored refs pending

Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series

Richard Mikael Slevinsky

arxiv:1705.05448 v3 · 2017-05-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APV7YFFBZ7QLQBM2OJLLULX4ZA}

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	2026-05-18T00:31:19.529243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ebfc14a1cfe0b8059a7256ba2efcc81ff591b4bb80367e5e777a704ae475ee

Aliases

arxiv: 1705.05448 · arxiv_version: 1705.05448v3 · doi: 10.48550/arxiv.1705.05448 · pith_short_12: APV7YFFBZ7QL · pith_short_16: APV7YFFBZ7QLQBM2 · pith_short_8: APV7YFFB

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/APV7YFFBZ7QLQBM2OJLLULX4ZA \
  | 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: 03ebfc14a1cfe0b8059a7256ba2efcc81ff591b4bb80367e5e777a704ae475ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd712627502e76a14c3b9757853a0f99042bf0f32bc684f872c05c31f6bd78f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-05-15T20:46:27Z",
    "title_canon_sha256": "e63214ab823ea45cf78531305c51188fcee0d700281a5f14ee5fe83820a3664e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05448",
    "kind": "arxiv",
    "version": 3
  }
}