Pith Number

pith:Q5GL7FUP

pith:2019:Q5GL7FUP3V3DANEOOVWGBGYND4

not attested not anchored not stored refs pending

Functions of noncommuting operators under perturbation of class $\boldsymbol{S}_p$

Aleksei Aleksandrov, Vladimir Peller

arxiv:1902.06346 v1 · 2019-02-17 · math.FA · math.CA · math.CV · 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{Q5GL7FUP3V3DANEOOVWGBGYND4}

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	2026-05-17T23:53:45.810686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874cbf968fdd7630348e756c609b0d1f1578833f7aa6d34d23f297758d9de836

Aliases

arxiv: 1902.06346 · arxiv_version: 1902.06346v1 · doi: 10.48550/arxiv.1902.06346 · pith_short_12: Q5GL7FUP3V3D · pith_short_16: Q5GL7FUP3V3DANEO · pith_short_8: Q5GL7FUP

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/Q5GL7FUP3V3DANEOOVWGBGYND4 \
  | 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: 874cbf968fdd7630348e756c609b0d1f1578833f7aa6d34d23f297758d9de836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570d8dd095c5271118dc48e0e6b81aef77291c500a9ca88ace56c36d3e7f98b5",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-17T23:11:11Z",
    "title_canon_sha256": "371f11ff61259445ab937034cb23c45a2505bf81bd9ab03b985e18337f59cfea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06346",
    "kind": "arxiv",
    "version": 1
  }
}