Pith Number

pith:ZZBUK5LE

pith:2015:ZZBUK5LEEQ3OOQJVWCNOPJWOIK

not attested not anchored not stored refs pending

A spectral theory for solvable Lie algebras of operators

Angel Larotonda, Enrico Boasso

arxiv:1505.04261 v1 · 2015-05-16 · 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{ZZBUK5LEEQ3OOQJVWCNOPJWOIK}

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	2026-05-18T02:07:25.944771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce434575642436e74135b09ae7a6ce4293424420e1d77d50f64a29b6a1d91603

Aliases

arxiv: 1505.04261 · arxiv_version: 1505.04261v1 · doi: 10.48550/arxiv.1505.04261 · pith_short_12: ZZBUK5LEEQ3O · pith_short_16: ZZBUK5LEEQ3OOQJV · pith_short_8: ZZBUK5LE

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/ZZBUK5LEEQ3OOQJVWCNOPJWOIK \
  | 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: ce434575642436e74135b09ae7a6ce4293424420e1d77d50f64a29b6a1d91603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b17a69a66a549eef7cb94399cbc482ebb48e0eeb54b80ad67d1b2032b6bcb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-16T10:57:23Z",
    "title_canon_sha256": "301d4242595f93cc609e75e3cf5b8b57a65d1bd7fec17b39afc3dce628a27cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04261",
    "kind": "arxiv",
    "version": 1
  }
}