Pith Number

pith:223ZZEIO

pith:2012:223ZZEIOWV6JGJUTMM5WXWTBHG

not attested not anchored not stored refs pending

A new approach to convolution and semi-direct products of groups

Arash Ghaani Farashahi, Rajabali Kamyabi-Gol

arxiv:1201.1854 v1 · 2012-01-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{223ZZEIOWV6JGJUTMM5WXWTBHG}

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	2026-05-18T04:04:55.505436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b79c910eb57c932693633b6bda613980008b270040494fa71b64a82b298e7b

Aliases

arxiv: 1201.1854 · arxiv_version: 1201.1854v1 · doi: 10.48550/arxiv.1201.1854 · pith_short_12: 223ZZEIOWV6J · pith_short_16: 223ZZEIOWV6JGJUT · pith_short_8: 223ZZEIO

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/223ZZEIOWV6JGJUTMM5WXWTBHG \
  | 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: d6b79c910eb57c932693633b6bda613980008b270040494fa71b64a82b298e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359a9507ef744412f2260d04eef9afba094080c7b25aa45f6882bbe2b957e523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-09T17:45:33Z",
    "title_canon_sha256": "b08c8677b96a452e57652cc907119cbbcee489270aac998a915c67b5fc4ba944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1854",
    "kind": "arxiv",
    "version": 1
  }
}