Pith Number

pith:3TNGPBPS

pith:2016:3TNGPBPSNJJZPDEIVUYEP6YKN6

not attested not anchored not stored refs pending

The Zak transform on strongly proper $G$-spaces and its applications

Dominik J\"ustel

arxiv:1605.05168 v2 · 2016-05-17 · 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{3TNGPBPSNJJZPDEIVUYEP6YKN6}

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	2026-05-18T00:27:47.235446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcda6785f26a53978c88ad3047fb0a6fa5f77229cdc20e4a9ad6f8ab47347b7a

Aliases

arxiv: 1605.05168 · arxiv_version: 1605.05168v2 · doi: 10.48550/arxiv.1605.05168 · pith_short_12: 3TNGPBPSNJJZ · pith_short_16: 3TNGPBPSNJJZPDEI · pith_short_8: 3TNGPBPS

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/3TNGPBPSNJJZPDEIVUYEP6YKN6 \
  | 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: dcda6785f26a53978c88ad3047fb0a6fa5f77229cdc20e4a9ad6f8ab47347b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af878fe84bc8f3ff70b31e44987c1c85a8bc6e7eb3b76e5f360f0f1e6b21ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-17T14:03:51Z",
    "title_canon_sha256": "cfc2a02cbfc374b99644f830b7f2931a39b969590465032f8726430e8d65f473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05168",
    "kind": "arxiv",
    "version": 2
  }
}