Pith Number

pith:5T5RHRLQ

pith:2008:5T5RHRLQKFJNSF7WYXJGCJ7AVI

not attested not anchored not stored refs pending

A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators

Emmanuel Candes, Laurent Demanet, Lexing Ying

arxiv:0809.0719 v1 · 2008-09-03 · 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{5T5RHRLQKFJNSF7WYXJGCJ7AVI}

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	2026-06-03T22:06:09.611218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfb13c5705152d917f6c5d26127e0aa3bec615b506828e44c7bc2477be85e26

Aliases

arxiv: 0809.0719 · arxiv_version: 0809.0719v1 · doi: 10.48550/arxiv.0809.0719 · pith_short_12: 5T5RHRLQKFJN · pith_short_16: 5T5RHRLQKFJNSF7W · pith_short_8: 5T5RHRLQ

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/5T5RHRLQKFJNSF7WYXJGCJ7AVI \
  | 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: ecfb13c5705152d917f6c5d26127e0aa3bec615b506828e44c7bc2477be85e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79c6da31ac84e4f1dcbad83347811cfb6b37ef6f38b4ddf708fcb35b112296c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-09-03T22:35:40Z",
    "title_canon_sha256": "e3dc7ebe63c051364c721068180abd3ec8b57ceb96df61df7fadcd7f6ae5bd98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0719",
    "kind": "arxiv",
    "version": 1
  }
}