Pith Number

pith:V2CZDOQM

pith:2019:V2CZDOQMFX262TAWSK65TODHET

not attested not anchored not stored refs pending

Supercyclicity of the left and right multiplication operators on Banach ideal of operators

Hamza Lakrimi, Mohamed Amouch

arxiv:1905.04503 v1 · 2019-05-11 · 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{V2CZDOQMFX262TAWSK65TODHET}

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	2026-05-17T23:46:24.624910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8591ba0c2df5ed4c1692bdd9b86724e439f7febbad19fc364d872a1315ae0b

Aliases

arxiv: 1905.04503 · arxiv_version: 1905.04503v1 · doi: 10.48550/arxiv.1905.04503 · pith_short_12: V2CZDOQMFX26 · pith_short_16: V2CZDOQMFX262TAW · pith_short_8: V2CZDOQM

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/V2CZDOQMFX262TAWSK65TODHET \
  | 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: ae8591ba0c2df5ed4c1692bdd9b86724e439f7febbad19fc364d872a1315ae0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5ba57339c0f687ba00153d9dc7eaf946874926e0e560c02e31b61f5795594b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-11T11:27:35Z",
    "title_canon_sha256": "2255287739c17edc8d6a5fd1b6298c03217a001d77993920326f8508767b067a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04503",
    "kind": "arxiv",
    "version": 1
  }
}