Pith Number

pith:Z5HI2U76

pith:2019:Z5HI2U76CCKMOBM3GB6G2C4IHS

not attested not anchored not stored refs pending

Singular perturbations of Laplace operator and their resolvents

B.E. Kanguzhin, K. S. Tulenov

arxiv:1908.09537 v1 · 2019-08-26 · 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{Z5HI2U76CCKMOBM3GB6G2C4IHS}

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	2026-07-04T23:59:41.308455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4e8d53fe1094c7059b307c6d0b883cb816b61d1447d240aa0bb9c2b92f5555

Aliases

arxiv: 1908.09537 · arxiv_version: 1908.09537v1 · doi: 10.48550/arxiv.1908.09537 · pith_short_12: Z5HI2U76CCKM · pith_short_16: Z5HI2U76CCKMOBM3 · pith_short_8: Z5HI2U76

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/Z5HI2U76CCKMOBM3GB6G2C4IHS \
  | 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: cf4e8d53fe1094c7059b307c6d0b883cb816b61d1447d240aa0bb9c2b92f5555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1896113b0acf9ada65e1843df1cc2b9545e6ba98abcf57ee791920efe6014960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-26T09:03:18Z",
    "title_canon_sha256": "1a97406d0d45d852ce9f6d663b0d27af05dc8ca928ea01b54242f5c924114474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09537",
    "kind": "arxiv",
    "version": 1
  }
}