Pith Number

pith:FBWXIHII

pith:2015:FBWXIHIINRRGV5YXGMCB3VWTLN

not attested not anchored not stored refs pending

Triple operator integrals in Schatten--von Neumann norms and functions of perturbed noncommuting operators

Aleksei Aleksandrov, Fedor Nazarov, Vladimir Peller

arxiv:1504.01189 v1 · 2015-04-06 · 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{FBWXIHIINRRGV5YXGMCB3VWTLN}

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	2026-05-18T02:19:34.941386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

286d741d086c626af71733041dd6d35b7c937ae19489f784c7f898b130ee7abd

Aliases

arxiv: 1504.01189 · arxiv_version: 1504.01189v1 · doi: 10.48550/arxiv.1504.01189 · pith_short_12: FBWXIHIINRRG · pith_short_16: FBWXIHIINRRGV5YX · pith_short_8: FBWXIHII

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/FBWXIHIINRRGV5YXGMCB3VWTLN \
  | 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: 286d741d086c626af71733041dd6d35b7c937ae19489f784c7f898b130ee7abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1aa9c07b4a56271e9e3ebd765fb6a045c75a2c28dc5e44944f46ce62149d5a",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-06T02:30:26Z",
    "title_canon_sha256": "020267037e5937cce4683acb1333966b652455d0da8bc9dff12cd195e6a2d10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01189",
    "kind": "arxiv",
    "version": 1
  }
}