Pith Number

pith:FP5TCR42

pith:2015:FP5TCR42GNBGL4M32WNWNXQ3L4

not attested not anchored not stored refs pending

Dual properties and joint spectra for solvable Lie algebras of operators

Enrico Boasso

arxiv:1510.00913 v1 · 2015-10-04 · 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{FP5TCR42GNBGL4M32WNWNXQ3L4}

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	2026-05-18T01:31:05.292758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfb31479a334265f19bd59b66de1b5f269024c39c0448d22fcaf263e417993b

Aliases

arxiv: 1510.00913 · arxiv_version: 1510.00913v1 · doi: 10.48550/arxiv.1510.00913 · pith_short_12: FP5TCR42GNBG · pith_short_16: FP5TCR42GNBGL4M3 · pith_short_8: FP5TCR42

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/FP5TCR42GNBGL4M32WNWNXQ3L4 \
  | 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: 2bfb31479a334265f19bd59b66de1b5f269024c39c0448d22fcaf263e417993b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b43012257f3675714c7082ccac8ce3401da143642f9876bf64ba59ee9b716b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-04T08:15:04Z",
    "title_canon_sha256": "5a68b9fb9012023f23797941b9a73f1964dcbc134478199cd9f15a16c39b2131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00913",
    "kind": "arxiv",
    "version": 1
  }
}