Pith Number

pith:CQXQHNSB

pith:2026:CQXQHNSBE5QZBRR7YHLFI4XANQ

not attested not anchored not stored refs pending

Linear sofic representations of amenable algebras

Benjamin Bachner

arxiv:2602.05039 v3 · 2026-02-04 · math.RA · 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{CQXQHNSBE5QZBRR7YHLFI4XANQ}

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	2026-05-28T01:05:11.755551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142f03b641276190c63fc1d65472e06c0cbacd240dd431847b46bf05fff35660

Aliases

arxiv: 2602.05039 · arxiv_version: 2602.05039v3 · doi: 10.48550/arxiv.2602.05039 · pith_short_12: CQXQHNSBE5QZ · pith_short_16: CQXQHNSBE5QZBRR7 · pith_short_8: CQXQHNSB

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/CQXQHNSBE5QZBRR7YHLFI4XANQ \
  | 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: 142f03b641276190c63fc1d65472e06c0cbacd240dd431847b46bf05fff35660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6066f710fdcef9e1901d55fb9ed1aa5399e2b1d40950ffd1ed336b87514ce3f4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-02-04T20:46:24Z",
    "title_canon_sha256": "51314e744f7cdaa5298f20c709ba644ad27a1aacfb566627da069294c5ebaa10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05039",
    "kind": "arxiv",
    "version": 3
  }
}