Pith Number

pith:BMLGK7BK

pith:2016:BMLGK7BK6CNGGMDBBZKSFFHNQW

not attested not anchored not stored refs pending

Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures

Anna Kula, Janusz Wysocza\'nski, Michal Wojtylak

arxiv:1605.00397 v1 · 2016-05-02 · math.FA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMLGK7BK6CNGGMDBBZKSFFHNQW}

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	2026-05-18T01:15:55.923922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b16657c2af09a6330610e552294ed859995a3d54c41bfbdae29ff1f4738ffc9

Aliases

arxiv: 1605.00397 · arxiv_version: 1605.00397v1 · doi: 10.48550/arxiv.1605.00397 · pith_short_12: BMLGK7BK6CNG · pith_short_16: BMLGK7BK6CNGGMDB · pith_short_8: BMLGK7BK

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/BMLGK7BK6CNGGMDBBZKSFFHNQW \
  | 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: 0b16657c2af09a6330610e552294ed859995a3d54c41bfbdae29ff1f4738ffc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc39999835dbf014132812955172ccd2848f666ca9b50ba601e3efca7e194a50",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-02T09:09:12Z",
    "title_canon_sha256": "f1fb6bfa135799c47ef70acd53e2c8c271e0e98de43a3d07796003277b49df67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00397",
    "kind": "arxiv",
    "version": 1
  }
}