Pith Number

pith:J6UOU3VX

pith:2012:J6UOU3VXVXIAZFLOIPKKXQMP46

not attested not anchored not stored refs pending

Zak Transform for Semidirect Product of Locally Compact Groups

Ali Akbar Arefijamaal, Arash Ghaani Farashahi

arxiv:1203.1509 v1 · 2012-03-07 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6UOU3VXVXIAZFLOIPKKXQMP46}

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	2026-05-18T04:00:38.566568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa8ea6eb7add00c956e43d4abc18fe78e4fc742aaf20542b76ba873bba76c38

Aliases

arxiv: 1203.1509 · arxiv_version: 1203.1509v1 · doi: 10.48550/arxiv.1203.1509 · pith_short_12: J6UOU3VXVXIA · pith_short_16: J6UOU3VXVXIAZFLO · pith_short_8: J6UOU3VX

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/J6UOU3VXVXIAZFLOIPKKXQMP46 \
  | 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: 4fa8ea6eb7add00c956e43d4abc18fe78e4fc742aaf20542b76ba873bba76c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9fb49674cc5a580861bab654885c7b4c2873a9e73b0c51bd7f17442f978bcf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-07T15:56:10Z",
    "title_canon_sha256": "8ee62c7e571f5677f8e98ac39cb69010f91bca13e9fa445f04149a2f9b8f2461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1509",
    "kind": "arxiv",
    "version": 1
  }
}