Pith Number

pith:6N6YI2VW

pith:2015:6N6YI2VW3C2TJU4IE64FQP7DM7

not attested not anchored not stored refs pending

Remarks on an operator Wielandt inequality

Pingping Zhang

arxiv:1506.00737 v1 · 2015-06-02 · 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{6N6YI2VW3C2TJU4IE64FQP7DM7}

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	2026-05-18T01:59:52.830148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37d846ab6d8b534d38827b8583fe367c37fefa7bf6f96d241970bbcbd244026

Aliases

arxiv: 1506.00737 · arxiv_version: 1506.00737v1 · doi: 10.48550/arxiv.1506.00737 · pith_short_12: 6N6YI2VW3C2T · pith_short_16: 6N6YI2VW3C2TJU4I · pith_short_8: 6N6YI2VW

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/6N6YI2VW3C2TJU4IE64FQP7DM7 \
  | 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: f37d846ab6d8b534d38827b8583fe367c37fefa7bf6f96d241970bbcbd244026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9cb6fab30fc5c8dc387b356ad6e4fc30d8affe5b55b45d08464188ae86578d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-02T03:08:40Z",
    "title_canon_sha256": "564f5cfea1fcabe2c33c131c44041741450d71b823d1f8c6ab72685e8e020255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00737",
    "kind": "arxiv",
    "version": 1
  }
}