Pith Number

pith:37OM72ZH

pith:2009:37OM72ZHXBKU45YQKM5CTVMWW3

not attested not anchored not stored refs pending

XFT: An Extension of the Discrete Fractional Fourier Transform

Edgar Ch\'avez, J. Rico-Melgoza, Rafael G. Campos

arxiv:0911.0952 v2 · 2009-11-04 · 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{37OM72ZHXBKU45YQKM5CTVMWW3}

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	2026-05-18T04:03:56.043165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfdccfeb27b8554e7710533a29d596b6ecd19286add09465d61d05a84efbde86

Aliases

arxiv: 0911.0952 · arxiv_version: 0911.0952v2 · doi: 10.48550/arxiv.0911.0952 · pith_short_12: 37OM72ZHXBKU · pith_short_16: 37OM72ZHXBKU45YQ · pith_short_8: 37OM72ZH

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/37OM72ZHXBKU45YQKM5CTVMWW3 \
  | 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: dfdccfeb27b8554e7710533a29d596b6ecd19286add09465d61d05a84efbde86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d7e9e3f14399da772dbedf26da74ce27f1918d741b8c8387845476152b44a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-11-04T23:10:08Z",
    "title_canon_sha256": "97ee7deaa38e7fa7ba6f767f28227806c0cdc263f3b32817df2b8a8d200dd550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0952",
    "kind": "arxiv",
    "version": 2
  }
}