Pith Number

pith:DPQ7UKQD

pith:2015:DPQ7UKQDKY2Q2JYQXWJNH7P4FV

not attested not anchored not stored refs pending

Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals

A.B. Aleksandrov, F.L. Nazarov, V.V. Peller

arxiv:1505.07173 v1 · 2015-05-27 · 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{DPQ7UKQDKY2Q2JYQXWJNH7P4FV}

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	2026-05-18T02:02:07.269166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be1fa2a0356350d2710bd92d3fdfc2d431b141f39516781e7f94fdf6ed435d2

Aliases

arxiv: 1505.07173 · arxiv_version: 1505.07173v1 · doi: 10.48550/arxiv.1505.07173 · pith_short_12: DPQ7UKQDKY2Q · pith_short_16: DPQ7UKQDKY2Q2JYQ · pith_short_8: DPQ7UKQD

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/DPQ7UKQDKY2Q2JYQXWJNH7P4FV \
  | 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: 1be1fa2a0356350d2710bd92d3fdfc2d431b141f39516781e7f94fdf6ed435d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89683ce1f6f9c0a94ea011ede85718149d5384146c2e1f83d9c22da6ee4d955",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-27T02:10:16Z",
    "title_canon_sha256": "c6548a8e7f091bb8e281271ec56f6a12acac0b367a8b84321fe186dc42d31e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07173",
    "kind": "arxiv",
    "version": 1
  }
}