Pith Number

pith:FOYWJUPP

pith:2007:FOYWJUPP3OGAEPQKWCSI4JH7ZH

not attested not anchored not stored refs pending

Characterizing group $C^\ast$-algebras through their unitary groups: the Abelian case

Ana-Mar'ia R'odenas, Jorge Galindo

arxiv:0704.3687 v2 · 2007-04-27 · math.OA · math.GN · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOYWJUPP3OGAEPQKWCSI4JH7ZH}

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	2026-05-18T04:09:23.939172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb164d1efdb8c023e0ab0a48e24ffc9cabc5ed9a39a5501fb12e64f09584b51

Aliases

arxiv: 0704.3687 · arxiv_version: 0704.3687v2 · doi: 10.48550/arxiv.0704.3687 · pith_short_12: FOYWJUPP3OGA · pith_short_16: FOYWJUPP3OGAEPQK · pith_short_8: FOYWJUPP

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/FOYWJUPP3OGAEPQKWCSI4JH7ZH \
  | 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: 2bb164d1efdb8c023e0ab0a48e24ffc9cabc5ed9a39a5501fb12e64f09584b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b214a5352a0c976b61ef1933af93d2d0d34834cd4a68feefe69d7691a3e43e25",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-04-27T15:06:52Z",
    "title_canon_sha256": "f2d3aadfdd670aa26bed8799ba619ba38cc507cf40b0b04e0ef39605d5771d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3687",
    "kind": "arxiv",
    "version": 2
  }
}