Pith Number

pith:MSXPF6KG

pith:2010:MSXPF6KGZGYCXMDOR554GKXVMX

not attested not anchored not stored refs pending

On spectral approximation, F{\o}lner sequences and crossed products

Fernando Lled\'o

arxiv:1008.1151 v2 · 2010-08-06 · math.OA · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSXPF6KGZGYCXMDOR554GKXVMX}

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	2026-05-18T03:27:41.373834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64aef2f946c9b02bb06e8f7bc32af565c1e85a15ece2bca8c47b671e9105bb50

Aliases

arxiv: 1008.1151 · arxiv_version: 1008.1151v2 · doi: 10.48550/arxiv.1008.1151 · pith_short_12: MSXPF6KGZGYC · pith_short_16: MSXPF6KGZGYCXMDO · pith_short_8: MSXPF6KG

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/MSXPF6KGZGYCXMDOR554GKXVMX \
  | 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: 64aef2f946c9b02bb06e8f7bc32af565c1e85a15ece2bca8c47b671e9105bb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ae4f765c35d9b69f6db001ad0f841056f34cbd8924edebe8937984f3f8da6d",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-08-06T09:42:28Z",
    "title_canon_sha256": "8867ffaa699e6b46ca57d589fc0ac3fcc51db274b823e28d2c4867309dab3a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1151",
    "kind": "arxiv",
    "version": 2
  }
}