Pith Number

pith:4MZ53N22

pith:2019:4MZ53N22DBKZOASI74QWJHXDBS

not attested not anchored not stored refs pending

Kato smoothness and functions of perturbed self-adjoint operators

Alexander Pushnitski, Rupert L. Frank

arxiv:1901.04731 v1 · 2019-01-15 · math.SP · 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{4MZ53N22DBKZOASI74QWJHXDBS}

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	2026-05-17T23:56:21.913628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e333ddb75a1855970248ff21649ee30c81f575b31ae8ab8c21f56c9e6a008996

Aliases

arxiv: 1901.04731 · arxiv_version: 1901.04731v1 · doi: 10.48550/arxiv.1901.04731 · pith_short_12: 4MZ53N22DBKZ · pith_short_16: 4MZ53N22DBKZOASI · pith_short_8: 4MZ53N22

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/4MZ53N22DBKZOASI74QWJHXDBS \
  | 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: e333ddb75a1855970248ff21649ee30c81f575b31ae8ab8c21f56c9e6a008996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd84ff883efdeba55427db5b198a9fb6679b1c1523b6c599a65a9d2c74b6d80",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-01-15T09:46:08Z",
    "title_canon_sha256": "973710cd2fbaec3b7ead59db7bb324508a5a1cf10e4e152540b855981e030a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04731",
    "kind": "arxiv",
    "version": 1
  }
}