Pith Number

pith:PRWF6DVL

pith:2006:PRWF6DVLMTJGB7ZCR7TCUIWSMM

not attested not anchored not stored refs pending

An operator is a product of two quasi-nilpotent operators if and only if it is not semi-Fredholm

Nika Novak, Roman Drnov\v{s}ek, Vladimir M\"uller

arxiv:math/0606516 v1 · 2006-06-21 · 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{PRWF6DVLMTJGB7ZCR7TCUIWSMM}

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	2026-05-18T01:08:50.182969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6c5f0eab64d260ff228fe62a22d26323b7005f0684b1cf04c18b85f7643260

Aliases

arxiv: math/0606516 · arxiv_version: math/0606516v1 · doi: 10.48550/arxiv.math/0606516 · pith_short_12: PRWF6DVLMTJG · pith_short_16: PRWF6DVLMTJGB7ZC · pith_short_8: PRWF6DVL

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/PRWF6DVLMTJGB7ZCR7TCUIWSMM \
  | 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: 7c6c5f0eab64d260ff228fe62a22d26323b7005f0684b1cf04c18b85f7643260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c488ba64d12ba714b939e15c1dc63e283a7c8d42f479374619cfe8e09f129e7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-06-21T09:04:50Z",
    "title_canon_sha256": "6aa98ced8deb534e292856ef6bc13c84b1db5bbb65dcec7dfb2509de7d772a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606516",
    "kind": "arxiv",
    "version": 1
  }
}