Pith Number

pith:FSVY4EPC

pith:2014:FSVY4EPCFCDMKAP3CXBI57VNAN

not attested not anchored not stored refs pending

Riesz and frame systems generated by unitary actions of discrete groups

Davide Barbieri, Eugenio Hern\'andez, Javier Parcet

arxiv:1402.2177 v2 · 2014-02-10 · math.FA · math.OA · 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{FSVY4EPCFCDMKAP3CXBI57VNAN}

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	2026-05-18T02:41:10.168256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cab8e11e22886c501fb15c28efead037384bee34a1008b67bbf91428ad13924

Aliases

arxiv: 1402.2177 · arxiv_version: 1402.2177v2 · doi: 10.48550/arxiv.1402.2177 · pith_short_12: FSVY4EPCFCDM · pith_short_16: FSVY4EPCFCDMKAP3 · pith_short_8: FSVY4EPC

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/FSVY4EPCFCDMKAP3CXBI57VNAN \
  | 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: 2cab8e11e22886c501fb15c28efead037384bee34a1008b67bbf91428ad13924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d59d832bb8d3e5b8a349b691e9f1255db05694934e535c3e59e407069d1dd85",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-10T15:07:20Z",
    "title_canon_sha256": "9f4e8021689c08045de878cfa3d4145b8eaee628fcd22bbe7255252300b1f341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2177",
    "kind": "arxiv",
    "version": 2
  }
}