Pith Number

pith:3O45WDKB

pith:2015:3O45WDKB2PPPBQUNOMR6GUBC33

not attested not anchored not stored refs pending

Complex Hermite functions as Fourier-Wigner transform

Allal Ghanmi, Amal El Hamyani, Arij Benkhadra, Fatima Agorram

arxiv:1506.07084 v2 · 2015-06-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3O45WDKB2PPPBQUNOMR6GUBC33}

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	2026-05-18T01:36:41.536261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb9db0d41d3def0c28d7323e35022dee3a8ffad1adc386cd1db34e3e8f6b6a3

Aliases

arxiv: 1506.07084 · arxiv_version: 1506.07084v2 · doi: 10.48550/arxiv.1506.07084 · pith_short_12: 3O45WDKB2PPP · pith_short_16: 3O45WDKB2PPPBQUN · pith_short_8: 3O45WDKB

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/3O45WDKB2PPPBQUNOMR6GUBC33 \
  | 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: dbb9db0d41d3def0c28d7323e35022dee3a8ffad1adc386cd1db34e3e8f6b6a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73cb94c558a88af17f1b21d2433a3f126aa53849bba9a9c917aed6bd9ecf4c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-23T16:40:22Z",
    "title_canon_sha256": "f3efa419380855ad2e8f40f801f7a346a9bfc87f7f908ac8f239360bfa03f30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07084",
    "kind": "arxiv",
    "version": 2
  }
}