Pith Number

pith:PX4ZM6OD

pith:2008:PX4ZM6ODK6IREO4QP3Y2ERJKAF

not attested not anchored not stored refs pending

Computational aspects and applications of a new transform for solving the complex exponentials approximation problem

Piero Barone

arxiv:0801.4172 v1 · 2008-01-28 · math.NA · stat.AP · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX4ZM6ODK6IREO4QP3Y2ERJKAF}

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	2026-05-18T03:56:35.562872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df99679c35791123b907ef1a2452a0174fe858c2c8b881c16c9af88cbc6f52e

Aliases

arxiv: 0801.4172 · arxiv_version: 0801.4172v1 · doi: 10.48550/arxiv.0801.4172 · pith_short_12: PX4ZM6ODK6IR · pith_short_16: PX4ZM6ODK6IREO4Q · pith_short_8: PX4ZM6OD

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/PX4ZM6ODK6IREO4QP3Y2ERJKAF \
  | 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: 7df99679c35791123b907ef1a2452a0174fe858c2c8b881c16c9af88cbc6f52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65552e9dbf533d71899531280d962d0020b93976fb7d3c10cb3a25f43bb5c598",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.CO"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2008-01-28T16:37:16Z",
    "title_canon_sha256": "1f7f78dc2e8113742dc20bfe5375fe87a3dc3e7e8a2b6fb103f55fc904188053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4172",
    "kind": "arxiv",
    "version": 1
  }
}