Pith Number

pith:26SA4JDS

pith:2009:26SA4JDSQCOOVD435MXVLKDMH5

not attested not anchored not stored refs pending

Optical transformation from chirplet to fractional Fourier transformation kernel

Hong-yi Fan, Li-yun Hu

arxiv:0902.1800 v1 · 2009-02-11 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26SA4JDSQCOOVD435MXVLKDMH5}

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	2026-05-18T02:14:48.391655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a40e2472809cea8f9beb2f55a86c3f56b67c69d4b3037a0d118bf303e4612b

Aliases

arxiv: 0902.1800 · arxiv_version: 0902.1800v1 · doi: 10.48550/arxiv.0902.1800 · pith_short_12: 26SA4JDSQCOO · pith_short_16: 26SA4JDSQCOOVD43 · pith_short_8: 26SA4JDS

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/26SA4JDSQCOOVD435MXVLKDMH5 \
  | 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: d7a40e2472809cea8f9beb2f55a86c3f56b67c69d4b3037a0d118bf303e4612b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d37c69161293fe477e8474f0e14216693165c793938e7c7b650bc71da00a323",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-02-11T14:07:12Z",
    "title_canon_sha256": "3e4a4c1a2c60d7ce84a1934ce1656572ee801770602bbd7a6b43508c29fb932b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1800",
    "kind": "arxiv",
    "version": 1
  }
}