Pith Number

pith:XOVTE47H

pith:2012:XOVTE47HRXTV7GK3VCYXLGAALF

not attested not anchored not stored refs pending

On the binary relation $\leq_u$ on self-adjoint Hilbert space operators

H. Najafi, M. S. Moslehian, S. M. S. Nabavi Sales

arxiv:1204.2222 v1 · 2012-04-10 · math.OA · 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{XOVTE47HRXTV7GK3VCYXLGAALF}

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	2026-05-18T03:55:23.042615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbab3273e78de75f995ba8b17598005948ca1d5e3a6e3a6e5b4fefbdee7d7692

Aliases

arxiv: 1204.2222 · arxiv_version: 1204.2222v1 · doi: 10.48550/arxiv.1204.2222 · pith_short_12: XOVTE47HRXTV · pith_short_16: XOVTE47HRXTV7GK3 · pith_short_8: XOVTE47H

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/XOVTE47HRXTV7GK3VCYXLGAALF \
  | 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: bbab3273e78de75f995ba8b17598005948ca1d5e3a6e3a6e5b4fefbdee7d7692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb6018fbc0aebaa4cf0fa08eb863749726ad05c1458783e8a1873d2f96e4b9e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-10T17:12:24Z",
    "title_canon_sha256": "bd01446eb1aa94b4b74f5b0e3dc4d23d9c455a8ca85d161c65a0133c6f9b5b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2222",
    "kind": "arxiv",
    "version": 1
  }
}