Pith Number

pith:XN3OBXQ5

pith:2020:XN3OBXQ5W462E6BYGSV5HUULQ6

not attested not anchored not stored refs pending

The Spectral Picture and Joint Spectral Radius of the Generalized Spherical Aluthge Transform

Chafiq Benhida, Jasang Yoon, Raul E. Curto, Sang Hoon Lee

arxiv:2006.03137 v1 · 2020-06-04 · math.FA · 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{XN3OBXQ5W462E6BYGSV5HUULQ6}

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	2026-06-23T02:13:11.249580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb76e0de1db73da2783834abd3d28b878c7440af41d8980047c10b739a5f1fe9

Aliases

arxiv: 2006.03137 · arxiv_version: 2006.03137v1 · doi: 10.48550/arxiv.2006.03137 · pith_short_12: XN3OBXQ5W462 · pith_short_16: XN3OBXQ5W462E6BY · pith_short_8: XN3OBXQ5

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/XN3OBXQ5W462E6BYGSV5HUULQ6 \
  | 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: bb76e0de1db73da2783834abd3d28b878c7440af41d8980047c10b739a5f1fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5abb796d905a250cf4473ebd33dd7739e7d9290f95ce0008c155cd85c199cc7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-06-04T21:36:13Z",
    "title_canon_sha256": "a67db602c22e26a6e5f7c5b29869680a454050195f320fe17a42f181ab025571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.03137",
    "kind": "arxiv",
    "version": 1
  }
}