Pith Number

pith:5WBX7PYT

pith:2012:5WBX7PYTOC4O4JVMSLVB2H65HR

not attested not anchored not stored refs pending

Dense nuclear Fr\'echet ideals in $C^\star$-algebras

Larry B. Schweitzer

arxiv:1205.0089 v10 · 2012-05-01 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WBX7PYTOC4O4JVMSLVB2H65HR}

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	2026-05-18T01:28:26.391268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed837fbf1370b8ee26ac92ea1d1fdd3c447b326faadb22b8139200b43b3369d0

Aliases

arxiv: 1205.0089 · arxiv_version: 1205.0089v10 · doi: 10.48550/arxiv.1205.0089 · pith_short_12: 5WBX7PYTOC4O · pith_short_16: 5WBX7PYTOC4O4JVM · pith_short_8: 5WBX7PYT

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/5WBX7PYTOC4O4JVMSLVB2H65HR \
  | 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: ed837fbf1370b8ee26ac92ea1d1fdd3c447b326faadb22b8139200b43b3369d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bffd7ff65be626d9424d5ba2cce3dc113a036d0a7da3a525438a8c4e71d8a0e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-01T05:09:09Z",
    "title_canon_sha256": "3869d02c22d5405bbbd7071a6d95cf291b15e0dbea251d44ce596229483da911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0089",
    "kind": "arxiv",
    "version": 10
  }
}