Pith Number

pith:ARNSWBX4

pith:2009:ARNSWBX4RNTC6P3F6ZV2D25OY2

not attested not anchored not stored refs pending

Fast algorithms for spherical harmonic expansions, III

Mark Tygert

arxiv:0910.5435 v6 · 2009-10-28 · cs.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{ARNSWBX4RNTC6P3F6ZV2D25OY2}

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.

Cited by

1 paper in Pith

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms

Receipt and verification

First computed	2026-05-18T02:11:02.063665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045b2b06fc8b662f3f65f66ba1ebaec6b39d1259b608b1f4a4b9e3fa9ce53fa5

Aliases

arxiv: 0910.5435 · arxiv_version: 0910.5435v6 · doi: 10.48550/arxiv.0910.5435 · pith_short_12: ARNSWBX4RNTC · pith_short_16: ARNSWBX4RNTC6P3F · pith_short_8: ARNSWBX4

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/ARNSWBX4RNTC6P3F6ZV2D25OY2 \
  | 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: 045b2b06fc8b662f3f65f66ba1ebaec6b39d1259b608b1f4a4b9e3fa9ce53fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276abd5affe6d57a6f827ca058860c52f3297efb9867dcf994106c3f4246d91e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2009-10-28T17:03:05Z",
    "title_canon_sha256": "f67ec56c67b0df18f25dc03a09bab13a062d4cda9916641fe34955a1236d564c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5435",
    "kind": "arxiv",
    "version": 6
  }
}