Pith Number

pith:QCU7FWIZ

pith:2014:QCU7FWIZCZ7N2I5EOBGRAUXZPG

not attested not anchored not stored refs pending

The Zak transform and the structure of spaces invariant by the action of an LCA group

Davide Barbieri, Eugenio Hern\'andez, Victoria Paternostro

arxiv:1410.7250 v2 · 2014-10-27 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCU7FWIZCZ7N2I5EOBGRAUXZPG}

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	2026-05-18T01:42:47.962953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a9f2d919167edd23a4704d1052f979a9492162a75b5ffb7e3e3e44e2bb7633

Aliases

arxiv: 1410.7250 · arxiv_version: 1410.7250v2 · doi: 10.48550/arxiv.1410.7250 · pith_short_12: QCU7FWIZCZ7N · pith_short_16: QCU7FWIZCZ7N2I5E · pith_short_8: QCU7FWIZ

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/QCU7FWIZCZ7N2I5EOBGRAUXZPG \
  | 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: 80a9f2d919167edd23a4704d1052f979a9492162a75b5ffb7e3e3e44e2bb7633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d36a4310909d527d34a22c0822a314dd3757cfd31fd5c0a822657788be58a4f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-27T14:23:02Z",
    "title_canon_sha256": "fe80803b0780944cef8147ff10c9dba0077f6d696907dcc9edee175a8ae79c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7250",
    "kind": "arxiv",
    "version": 2
  }
}