Pith Number

pith:BLEI5LL2

pith:2012:BLEI5LL2EZY2CP6R77GF6KXBSA

not attested not anchored not stored refs pending

Scalar spectral measures associated with an Operator-Fractal

Karen L. Shuman, Keri A. Kornelson, Palle E. T. Jorgensen

arxiv:1204.5116 v1 · 2012-04-23 · math.SP · 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{BLEI5LL2EZY2CP6R77GF6KXBSA}

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	2026-05-18T03:57:14.740226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac88ead7a2671a13fd1ffcc5f2ae19016c2087398fad13718174e5123201712

Aliases

arxiv: 1204.5116 · arxiv_version: 1204.5116v1 · doi: 10.48550/arxiv.1204.5116 · pith_short_12: BLEI5LL2EZY2 · pith_short_16: BLEI5LL2EZY2CP6R · pith_short_8: BLEI5LL2

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/BLEI5LL2EZY2CP6R77GF6KXBSA \
  | 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: 0ac88ead7a2671a13fd1ffcc5f2ae19016c2087398fad13718174e5123201712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82245bbe58064280dd14e16850984117b22a56fef2bd5120b32b78eb6c923759",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-04-23T17:15:19Z",
    "title_canon_sha256": "404f2fd691c124d9f28d94f8d8b760ca240f1658efd7ee0d12c51c18ea8069e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5116",
    "kind": "arxiv",
    "version": 1
  }
}