Pith Number

pith:MDW2ZB4J

pith:2014:MDW2ZB4JRIAM3X2FK6PEM4V4U6

not attested not anchored not stored refs pending

Strong Majorization Entropic Uncertainty Relations

Karol \.Zyczkowski, {\L}ukasz Rudnicki, Zbigniew Pucha{\l}a

arxiv:1402.0129 v3 · 2014-02-01 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDW2ZB4JRIAM3X2FK6PEM4V4U6}

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	2026-05-18T01:37:47.567189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60edac87898a00cddf45579e4672bca7aa7f6fb361c5c8c975347ca9b2b08959

Aliases

arxiv: 1402.0129 · arxiv_version: 1402.0129v3 · doi: 10.48550/arxiv.1402.0129 · pith_short_12: MDW2ZB4JRIAM · pith_short_16: MDW2ZB4JRIAM3X2F · pith_short_8: MDW2ZB4J

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/MDW2ZB4JRIAM3X2FK6PEM4V4U6 \
  | 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: 60edac87898a00cddf45579e4672bca7aa7f6fb361c5c8c975347ca9b2b08959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e44809ee17218b36bd07a3f47a2a5637c6e0dca246b0cfd89298880e9a432e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-02-01T22:09:40Z",
    "title_canon_sha256": "542eb796c1bc62134e26cac9806a1b48ebf9b60b4dfe71078d27642a896a9713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0129",
    "kind": "arxiv",
    "version": 3
  }
}