Pith Number

pith:Q5HDBH44

pith:2018:Q5HDBH44CNCPIFMTOZKE434BQ7

not attested not anchored not stored refs pending

Tighter monogamy and polygamy relations using R\'{e}nyi-$\alpha$ entropy

Chuan-Jie Zhu, Yanying Liang, Zhu-Jun Zheng

arxiv:1810.09131 v2 · 2018-10-22 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5HDBH44CNCPIFMTOZKE434BQ7}

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	2026-05-17T23:51:14.111996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874e309f9c1344f4159376544e6f8187fb1435ed570873307b023036cd5edebb

Aliases

arxiv: 1810.09131 · arxiv_version: 1810.09131v2 · doi: 10.48550/arxiv.1810.09131 · pith_short_12: Q5HDBH44CNCP · pith_short_16: Q5HDBH44CNCPIFMT · pith_short_8: Q5HDBH44

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/Q5HDBH44CNCPIFMTOZKE434BQ7 \
  | 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: 874e309f9c1344f4159376544e6f8187fb1435ed570873307b023036cd5edebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08e536c8f86a32ee4ac10fff738d849f6f7fbc9e14e2dc325185779a8d5684c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-22T08:11:40Z",
    "title_canon_sha256": "c9deeb208793937bec7b6f87fd09777b3c1f7ad207898ac8e95420398268c3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09131",
    "kind": "arxiv",
    "version": 2
  }
}