Pith Number

pith:DUZVAIFT

pith:2014:DUZVAIFT4KGTT2OW5PRBVXGZCR

not attested not anchored not stored refs pending

Commutativity up to a factor for bounded and unbounded operators

Ch\'erifa Chellali, Mohammed Hichem Mortad

arxiv:1401.5917 v2 · 2014-01-23 · math.FA · 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{DUZVAIFT4KGTT2OW5PRBVXGZCR}

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	2026-05-18T02:53:17.273869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d335020b3e28d39e9d6ebe21adcd9147c26b9dd38b61529d2bd2284cdf6a74f

Aliases

arxiv: 1401.5917 · arxiv_version: 1401.5917v2 · doi: 10.48550/arxiv.1401.5917 · pith_short_12: DUZVAIFT4KGT · pith_short_16: DUZVAIFT4KGTT2OW · pith_short_8: DUZVAIFT

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/DUZVAIFT4KGTT2OW5PRBVXGZCR \
  | 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: 1d335020b3e28d39e9d6ebe21adcd9147c26b9dd38b61529d2bd2284cdf6a74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e87bcaf393903849abf31c878a206b0cb332939354df43966a1fc6753ce8a49",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-23T09:52:55Z",
    "title_canon_sha256": "cd8d9b90385164bcbf78c71c1e4d22652600e42a4d86567628fbfdb4d2823aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5917",
    "kind": "arxiv",
    "version": 2
  }
}