Pith Number

pith:BSXEJO7D

pith:2019:BSXEJO7DQPI7VENVG36VSKIANL

not attested not anchored not stored refs pending

Power bounded $m$-left invertible operators

B.P. Duggal, C.S. Kubrusly

arxiv:1903.03417 v2 · 2019-03-08 · 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{BSXEJO7DQPI7VENVG36VSKIANL}

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	2026-05-17T23:51:18.954881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cae44bbe383d1fa91b536fd5929006ac952ea42783349fc811b98aa42cbdca7

Aliases

arxiv: 1903.03417 · arxiv_version: 1903.03417v2 · doi: 10.48550/arxiv.1903.03417 · pith_short_12: BSXEJO7DQPI7 · pith_short_16: BSXEJO7DQPI7VENV · pith_short_8: BSXEJO7D

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/BSXEJO7DQPI7VENVG36VSKIANL \
  | 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: 0cae44bbe383d1fa91b536fd5929006ac952ea42783349fc811b98aa42cbdca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ddd7889559d80aea6c5014f907f3357d914192a20bf2d674f84b34af607572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-08T13:17:27Z",
    "title_canon_sha256": "04ce159abe3b3fb916c8e1997cdd4a42c82b81b9e3441c2e71846d78bcc46002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03417",
    "kind": "arxiv",
    "version": 2
  }
}