Pith Number

pith:65OHC7DD

pith:2013:65OHC7DDCTD6J5X3GFXQRTIP2E

not attested not anchored not stored refs pending

On Mean Ergodic Convergence in the Calkin Algebras

March T. Boedihardjo, William B. Johnson

arxiv:1301.0054 v3 · 2013-01-01 · 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{65OHC7DDCTD6J5X3GFXQRTIP2E}

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	2026-05-18T03:04:22.576721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75c717c6314c7e4f6fb316f08cd0fd10013ffdcdb34bf9c6712f57cc0c4a3da

Aliases

arxiv: 1301.0054 · arxiv_version: 1301.0054v3 · doi: 10.48550/arxiv.1301.0054 · pith_short_12: 65OHC7DDCTD6 · pith_short_16: 65OHC7DDCTD6J5X3 · pith_short_8: 65OHC7DD

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/65OHC7DDCTD6J5X3GFXQRTIP2E \
  | 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: f75c717c6314c7e4f6fb316f08cd0fd10013ffdcdb34bf9c6712f57cc0c4a3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9c99a4e87a87dd7e3c74ee8b386ffefb7682e065fa5bf6065740743cf48eb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-01T03:59:06Z",
    "title_canon_sha256": "d7add1083f71a31f7bf6bca2f25ed15e17927951243fb15bb8dff9ef7cf459b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0054",
    "kind": "arxiv",
    "version": 3
  }
}