Pith Number

pith:I7YDKABY

pith:2013:I7YDKABYDPE5O2EV6KTY65WHJF

not attested not anchored not stored refs pending

Generalized Browder's and Weyl's theorems for left and right multiplication operators

B. P. Duggal, Enrico Boasso, I. H. Jeon

arxiv:1307.5020 v1 · 2013-07-18 · 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{I7YDKABYDPE5O2EV6KTY65WHJF}

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	2026-05-18T03:18:06.914409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f03500381bc9d76895f2a78f76c749633364e860c0864f28d8551e5a9f2e61

Aliases

arxiv: 1307.5020 · arxiv_version: 1307.5020v1 · doi: 10.48550/arxiv.1307.5020 · pith_short_12: I7YDKABYDPE5 · pith_short_16: I7YDKABYDPE5O2EV · pith_short_8: I7YDKABY

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/I7YDKABYDPE5O2EV6KTY65WHJF \
  | 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: 47f03500381bc9d76895f2a78f76c749633364e860c0864f28d8551e5a9f2e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967edd9abb81738a5cc4722a19880d5a1e7a78b0b989724b026a37b413f37de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T17:24:21Z",
    "title_canon_sha256": "a791fc172f69aeeea1e0e9e36009a7a13b47a9d8d0149e2526757ec0ea260e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5020",
    "kind": "arxiv",
    "version": 1
  }
}