Pith Number

pith:LMFZ44HL

pith:2020:LMFZ44HLG5HCYOVXQHJYR5OREP

not attested not anchored not stored refs pending

Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators

Oles Dobosevych, Rostyslav Hryniv

arxiv:2007.08841 v1 · 2020-07-17 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMFZ44HLG5HCYOVXQHJYR5OREP}

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	2026-07-05T01:19:57.863644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0b9e70eb374e2c3ab781d388f5d123c6ec002fe0fc25287be12c0959325dba

Aliases

arxiv: 2007.08841 · arxiv_version: 2007.08841v1 · doi: 10.48550/arxiv.2007.08841 · pith_short_12: LMFZ44HLG5HC · pith_short_16: LMFZ44HLG5HCYOVX · pith_short_8: LMFZ44HL

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/LMFZ44HLG5HCYOVXQHJYR5OREP \
  | 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: 5b0b9e70eb374e2c3ab781d388f5d123c6ec002fe0fc25287be12c0959325dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "216ea95c5edd16355e2053a8e750d8f2d7ce9b534d46f2cfb7cc6a1e54402168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2020-07-17T09:10:29Z",
    "title_canon_sha256": "29f97a5c96adaadfad8d24ac19c750b33059954cc4749e9a487a162d111be7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08841",
    "kind": "arxiv",
    "version": 1
  }
}