Pith Number

pith:RLKZMY33

pith:2013:RLKZMY333TRDSSZPUVN5C6IDHV

not attested not anchored not stored refs pending

The Schur-Horn theorem for operators with finite spectrum

John Jasper, Marcin Bownik

arxiv:1302.4757 v1 · 2013-02-19 · 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{RLKZMY333TRDSSZPUVN5C6IDHV}

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	2026-05-18T03:33:11.155056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad596637bdce2394b2fa55bd179033d4080b19269d316e90b4226d218cbd481

Aliases

arxiv: 1302.4757 · arxiv_version: 1302.4757v1 · doi: 10.48550/arxiv.1302.4757 · pith_short_12: RLKZMY333TRD · pith_short_16: RLKZMY333TRDSSZP · pith_short_8: RLKZMY33

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/RLKZMY333TRDSSZPUVN5C6IDHV \
  | 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: 8ad596637bdce2394b2fa55bd179033d4080b19269d316e90b4226d218cbd481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6460fd392d1e61a098a08d6e45b94317cda812dd44b537e60e9a03b492668e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-19T21:33:11Z",
    "title_canon_sha256": "b9bbcd5e6b4b9dcfc3da194141f3bc262747cb68b786ae2ffbce70b691ed5b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4757",
    "kind": "arxiv",
    "version": 1
  }
}