Pith Number

pith:ZXDT5HZG

pith:2012:ZXDT5HZGMTMBJOATC2EFDHMNWT

not attested not anchored not stored refs pending

Weighted Shift Matrices: Unitary Equivalence, Reducibility and Numerical Ranges

Han-Chun Wang, Hwa-Long Gau, Ming-Cheng Tsai

arxiv:1206.1975 v1 · 2012-06-09 · 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{ZXDT5HZGMTMBJOATC2EFDHMNWT}

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	2026-05-18T03:10:00.125390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc73e9f2664d814b8131688519d8db4f36f0fe5dbead687e9de5b5f6baa23fd

Aliases

arxiv: 1206.1975 · arxiv_version: 1206.1975v1 · doi: 10.48550/arxiv.1206.1975 · pith_short_12: ZXDT5HZGMTMB · pith_short_16: ZXDT5HZGMTMBJOAT · pith_short_8: ZXDT5HZG

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/ZXDT5HZGMTMBJOATC2EFDHMNWT \
  | 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: cdc73e9f2664d814b8131688519d8db4f36f0fe5dbead687e9de5b5f6baa23fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4be459cbd18cdaf70e76c4b8c177653cfb33daf041b7dc0dff51514566454b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-09T21:41:20Z",
    "title_canon_sha256": "f2bb107462d261f440a33f661aa17b306c6e8c1563cce49a5bbbd70ddd3cd722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1975",
    "kind": "arxiv",
    "version": 1
  }
}