Pith Number

pith:4EZK4KW4

pith:2017:4EZK4KW4D3GPVRLNIF7C47V2YE

not attested not anchored not stored refs pending

Orthonormality of wavelet system on the Heisenberg group and twisted wavelet system on $\mathbb{C}$

R.Radha, S.Arati

arxiv:1712.00718 v1 · 2017-12-03 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EZK4KW4D3GPVRLNIF7C47V2YE}

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	2026-05-18T00:29:00.613010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e132ae2adc1eccfac56d417e2e7ebac10ae0b02cc5b10a55d7c01821946ea60f

Aliases

arxiv: 1712.00718 · arxiv_version: 1712.00718v1 · doi: 10.48550/arxiv.1712.00718 · pith_short_12: 4EZK4KW4D3GP · pith_short_16: 4EZK4KW4D3GPVRLN · pith_short_8: 4EZK4KW4

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/4EZK4KW4D3GPVRLNIF7C47V2YE \
  | 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: e132ae2adc1eccfac56d417e2e7ebac10ae0b02cc5b10a55d7c01821946ea60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85098142512280ac542266c960ffbabd07fcbf18d8f96cf13df0bec7e9ba78e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-03T06:27:39Z",
    "title_canon_sha256": "c6fc8f1a6663a4ec798de6cd185bdfbda79456d9c65a987367afd8a89e3d3f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00718",
    "kind": "arxiv",
    "version": 1
  }
}