Pith Number

pith:LKTR23GN

pith:2019:LKTR23GNJKGSXCX67AN5MPWS6Y

not attested not anchored not stored refs pending

Birkhoff--James orthogonality of operators in semi-Hilbertian spaces and its applications

Ali Zamani

arxiv:1905.04078 v1 · 2019-05-10 · 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{LKTR23GNJKGSXCX67AN5MPWS6Y}

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	2026-05-17T23:46:34.650650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa71d6ccd4a8d2b8afef81bd63ed2f611e9c7863657e156ea1f169a6370c6b4

Aliases

arxiv: 1905.04078 · arxiv_version: 1905.04078v1 · doi: 10.48550/arxiv.1905.04078 · pith_short_12: LKTR23GNJKGS · pith_short_16: LKTR23GNJKGSXCX6 · pith_short_8: LKTR23GN

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/LKTR23GNJKGSXCX67AN5MPWS6Y \
  | 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: 5aa71d6ccd4a8d2b8afef81bd63ed2f611e9c7863657e156ea1f169a6370c6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47cbb7e407c6e93c274a23588877132938b227877e9a087162ea9c56a1bf6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-10T11:35:06Z",
    "title_canon_sha256": "7f5b16f13fdb7a0cd5e32d78a77207ad4017de6def9ccf9b1c4cacc2b981c6e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04078",
    "kind": "arxiv",
    "version": 1
  }
}