Pith Number

pith:WYJJ6RGB

pith:1992:WYJJ6RGBOLQTLKX5H2SI4YREQC

not attested not anchored not stored refs pending

A Short Proof that $M_{n}(A)$ is local if $A$ is local and Fr\'echet

Larry B. Schweitzer

arxiv:funct-an/9211005 v1 · 1992-11-25 · funct-an · 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{WYJJ6RGBOLQTLKX5H2SI4YREQC}

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	2026-05-18T01:20:56.398852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6129f44c172e135aafd3ea48e622480b0e540bd9f857ba3f1c713a5f45f9fbb

Aliases

arxiv: funct-an/9211005 · arxiv_version: funct-an/9211005v1 · doi: 10.48550/arxiv.funct-an/9211005 · pith_short_12: WYJJ6RGBOLQT · pith_short_16: WYJJ6RGBOLQTLKX5 · pith_short_8: WYJJ6RGB

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/WYJJ6RGBOLQTLKX5H2SI4YREQC \
  | 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: b6129f44c172e135aafd3ea48e622480b0e540bd9f857ba3f1c713a5f45f9fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809b8af0389632b6a5ee7df724b9f1a0b42153cfa2b2f3c0fb71bf0d213f8223",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1992-11-25T04:15:44Z",
    "title_canon_sha256": "93b1abfcbb9bc7aeeb5d4d57fc7220582ed6224c9804ed1c2e57e45c69764b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9211005",
    "kind": "arxiv",
    "version": 1
  }
}