Pith Number

pith:PH74N3MP

pith:2018:PH74N3MPD5DPAN7WYUSKAS23RY

not attested not anchored not stored refs pending

Quantum version of Wielandt's Inequality revisited

Mateusz Micha{\l}ek, Yaroslav Shitov

arxiv:1809.04387 v1 · 2018-09-12 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH74N3MPD5DPAN7WYUSKAS23RY}

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	2026-05-18T00:05:52.567877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ffc6ed8f1f46f037f6c524a04b5b8e2cd3fa489376c874a5fb8701fcb2b08a

Aliases

arxiv: 1809.04387 · arxiv_version: 1809.04387v1 · doi: 10.48550/arxiv.1809.04387 · pith_short_12: PH74N3MPD5DP · pith_short_16: PH74N3MPD5DPAN7W · pith_short_8: PH74N3MP

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/PH74N3MPD5DPAN7WYUSKAS23RY \
  | 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: 79ffc6ed8f1f46f037f6c524a04b5b8e2cd3fa489376c874a5fb8701fcb2b08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c865a2754191da85264ce71f3735e43d3f8c5125940e16b99f40483a3081c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-12T12:52:17Z",
    "title_canon_sha256": "7a00c175bbaa28e53b3021f3cda8e5310907474e8aabc73c56d736f6f8d9537d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04387",
    "kind": "arxiv",
    "version": 1
  }
}