Pith Number

pith:J253JDHO

pith:2017:J253JDHOIE6U7XQ263XU2ENSWM

not attested not anchored not stored refs pending

Majorization uncertainty relations for mixed quantum states

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

arxiv:1709.10294 v1 · 2017-09-29 · 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{J253JDHOIE6U7XQ263XU2ENSWM}

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	2026-05-18T00:18:31.502324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebbb48cee413d4fde1af6ef4d11b2b31a3b69e9ac1ddb378e463eb24233823a

Aliases

arxiv: 1709.10294 · arxiv_version: 1709.10294v1 · doi: 10.48550/arxiv.1709.10294 · pith_short_12: J253JDHOIE6U · pith_short_16: J253JDHOIE6U7XQ2 · pith_short_8: J253JDHO

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/J253JDHOIE6U7XQ263XU2ENSWM \
  | 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: 4ebbb48cee413d4fde1af6ef4d11b2b31a3b69e9ac1ddb378e463eb24233823a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557b0557be92a6879fe8914dd00d0aadc20e39d741e775f43a5944367ec5f13d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-09-29T09:11:26Z",
    "title_canon_sha256": "a30bf0eead378a8a452e36a447aa41f140ca6f95131cb4c8fb602f742cd85d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10294",
    "kind": "arxiv",
    "version": 1
  }
}