Pith Number

pith:DWKFVUDE

pith:2013:DWKFVUDEFAZ72YUAZ6CBEAIA4F

not attested not anchored not stored refs pending

Extreme non-Arens regularity of the group algebra

Jorge Galindo, Mahmoud Filali

arxiv:1307.1000 v1 · 2013-07-03 · math.FA · math.GN · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWKFVUDEFAZ72YUAZ6CBEAIA4F}

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	2026-05-18T03:19:23.514690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d945ad0642833fd6280cf84120100e177fa588774d96730b058815984661630

Aliases

arxiv: 1307.1000 · arxiv_version: 1307.1000v1 · doi: 10.48550/arxiv.1307.1000 · pith_short_12: DWKFVUDEFAZ7 · pith_short_16: DWKFVUDEFAZ72YUA · pith_short_8: DWKFVUDE

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/DWKFVUDEFAZ72YUAZ6CBEAIA4F \
  | 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: 1d945ad0642833fd6280cf84120100e177fa588774d96730b058815984661630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5d4d230467d6a7475c7862fc9136c61967c4744bcf145d9830d0df8f7c0a5b",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-03T13:07:51Z",
    "title_canon_sha256": "7a094161e37bf973fb9567c1d6189440f3ae931f86fced567d55c6197f327d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1000",
    "kind": "arxiv",
    "version": 1
  }
}