Pith Number

pith:IGFRK2HZ

pith:2012:IGFRK2HZFYGWTR5PQ7ROOMVQML

not attested not anchored not stored refs pending

Derivations in the Banach ideals of $\tau$-compact operators

A. F. Ber, F. A. Sukochev

arxiv:1204.4052 v1 · 2012-04-18 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGFRK2HZFYGWTR5PQ7ROOMVQML}

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	2026-05-18T03:57:37.865247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

418b1568f92e0d69c7af87e2e732b062e6533a7c043d276a1c4a0d4f0f2baa0a

Aliases

arxiv: 1204.4052 · arxiv_version: 1204.4052v1 · doi: 10.48550/arxiv.1204.4052 · pith_short_12: IGFRK2HZFYGW · pith_short_16: IGFRK2HZFYGWTR5P · pith_short_8: IGFRK2HZ

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/IGFRK2HZFYGWTR5PQ7ROOMVQML \
  | 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: 418b1568f92e0d69c7af87e2e732b062e6533a7c043d276a1c4a0d4f0f2baa0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbd01800141ad0ea2a6d86decf081bd56844e1aac2ba89b082e57ec35d0d165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-18T11:35:04Z",
    "title_canon_sha256": "75ce62a85c43f872199aa1cdbe47c157fdf5122e677fc4002715cc9ce1f86f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4052",
    "kind": "arxiv",
    "version": 1
  }
}