Pith Number

pith:BZ54OSFB

pith:2009:BZ54OSFBXNW7QHWI4X5TE6MP2Q

not attested not anchored not stored refs pending

On the recurrence of coefficients in the L\"uck-Fuglede-Kadison determinant

Matilde N. Lalin, Oliver T. Dasbach

arxiv:0908.0582 v2 · 2009-08-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ54OSFBXNW7QHWI4X5TE6MP2Q}

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	2026-05-18T01:04:59.820912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7bc748a1bb6df81ec8e5fb32798fd42e48bc15fbcbac7bed2591fe5c2f3ecb

Aliases

arxiv: 0908.0582 · arxiv_version: 0908.0582v2 · doi: 10.48550/arxiv.0908.0582 · pith_short_12: BZ54OSFBXNW7 · pith_short_16: BZ54OSFBXNW7QHWI · pith_short_8: BZ54OSFB

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/BZ54OSFBXNW7QHWI4X5TE6MP2Q \
  | 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: 0e7bc748a1bb6df81ec8e5fb32798fd42e48bc15fbcbac7bed2591fe5c2f3ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92da4dd7fd8be6b54a4f62299fd235cf4f077e23ad25f56752a93b760ec147ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-05T04:30:35Z",
    "title_canon_sha256": "a2744dc00a76a23a792e13cf3517fd122abdd71d08ca1188b38eaa9bad4e8c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0582",
    "kind": "arxiv",
    "version": 2
  }
}