Pith Number

pith:JUBH4GR4

pith:2016:JUBH4GR44WFLU7RDDALQ4Z425C

not attested not anchored not stored refs pending

High-Dimensional Sparse Fourier Algorithms

Andrew Christlieb, Bosu Choi, Yang Wang

arxiv:1606.07407 v4 · 2016-06-23 · math.NA · 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{JUBH4GR44WFLU7RDDALQ4Z425C}

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	2026-05-17T23:41:56.878484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d027e1a3ce58aba7e2318170e679ae8bac269b974b93ceed03d83696a3be1f9

Aliases

arxiv: 1606.07407 · arxiv_version: 1606.07407v4 · doi: 10.48550/arxiv.1606.07407 · pith_short_12: JUBH4GR44WFL · pith_short_16: JUBH4GR44WFLU7RD · pith_short_8: JUBH4GR4

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/JUBH4GR44WFLU7RDDALQ4Z425C \
  | 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: 4d027e1a3ce58aba7e2318170e679ae8bac269b974b93ceed03d83696a3be1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1065c028419be28c1accd1661813616efda8dff382672e94f54a99963ebc17be",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-23T18:56:06Z",
    "title_canon_sha256": "50b5c1b5f9f19940e5b5d30efda569c5b7e14013b98005002f7d18cbff1cba20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07407",
    "kind": "arxiv",
    "version": 4
  }
}