Pith Number

pith:S5UMUE7G

pith:2013:S5UMUE7GWGE7G74LJEDE7BQTRN

not attested not anchored not stored refs pending

One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum

Anton D. Baranov, Dmitry V. Yakubovich

arxiv:1304.5800 v1 · 2013-04-21 · math.SP · math.CV · 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{S5UMUE7GWGE7G74LJEDE7BQTRN}

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	2026-05-18T03:27:24.096536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9768ca13e6b189f37f8b49064f86138b630248764762c2f5b8b08d8aafca692c

Aliases

arxiv: 1304.5800 · arxiv_version: 1304.5800v1 · doi: 10.48550/arxiv.1304.5800 · pith_short_12: S5UMUE7GWGE7 · pith_short_16: S5UMUE7GWGE7G74L · pith_short_8: S5UMUE7G

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/S5UMUE7GWGE7G74LJEDE7BQTRN \
  | 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: 9768ca13e6b189f37f8b49064f86138b630248764762c2f5b8b08d8aafca692c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526809b905c4e3a8dcab429c0ca973f3e1ddd087c83abd816cb92e3748f5e70a",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-04-21T21:07:37Z",
    "title_canon_sha256": "ada544a132c41108f4cdfeab84341430d0a5bdcfbab2f3601d1e9e36eab7fb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5800",
    "kind": "arxiv",
    "version": 1
  }
}