Pith Number

pith:ILXYQWKI

pith:2016:ILXYQWKI7Z7YSDSDUHDY3ZS5HQ

not attested not anchored not stored refs pending

Joint spectra and nilpotent Lie algebras of linear transformations

Enrico Boasso

arxiv:1602.05079 v1 · 2016-02-16 · 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{ILXYQWKI7Z7YSDSDUHDY3ZS5HQ}

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	2026-05-18T01:20:37.569743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ef885948fe7f890e43a1c78de65d3c3c5f2b85c9abc24b7737ce80a7cd5971

Aliases

arxiv: 1602.05079 · arxiv_version: 1602.05079v1 · doi: 10.48550/arxiv.1602.05079 · pith_short_12: ILXYQWKI7Z7Y · pith_short_16: ILXYQWKI7Z7YSDSD · pith_short_8: ILXYQWKI

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/ILXYQWKI7Z7YSDSDUHDY3ZS5HQ \
  | 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: 42ef885948fe7f890e43a1c78de65d3c3c5f2b85c9abc24b7737ce80a7cd5971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ee645cb3f5ba38cc65bdc7b4e77620589ba5930a12d46648d2f6a4984db137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-16T16:21:09Z",
    "title_canon_sha256": "82792fde58eaba33a18f5aa7e031d10f22cea5dbeb9f7d78034deaccc0f38750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05079",
    "kind": "arxiv",
    "version": 1
  }
}