Pith Number

pith:YW5PUYCT

pith:2012:YW5PUYCTOTUTO7ZPDEOSSSXCKM

not attested not anchored not stored refs pending

Upper triangular Toeplitz matrices and real parts of quasinilpotent operators

Anna Skripka, Junsheng Fang, Ken Dykema

arxiv:1206.5080 v3 · 2012-06-22 · 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{YW5PUYCTOTUTO7ZPDEOSSSXCKM}

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	2026-05-18T03:32:17.049978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bafa605374e9377f2f191d294ae2533577ed94a20ecf27e177e83447d4c049

Aliases

arxiv: 1206.5080 · arxiv_version: 1206.5080v3 · doi: 10.48550/arxiv.1206.5080 · pith_short_12: YW5PUYCTOTUT · pith_short_16: YW5PUYCTOTUTO7ZP · pith_short_8: YW5PUYCT

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/YW5PUYCTOTUTO7ZPDEOSSSXCKM \
  | 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: c5bafa605374e9377f2f191d294ae2533577ed94a20ecf27e177e83447d4c049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae35f88989dbb6e57e8838bc6542c2d45863e74d7a4e62cb1efbf2626c7c4f1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-22T08:11:51Z",
    "title_canon_sha256": "b667835ca499264fc9014ea7682255ab16299345b8125c4e2fd3b44bbedc66cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5080",
    "kind": "arxiv",
    "version": 3
  }
}