Pith Number

pith:5NBV7L3V

pith:2016:5NBV7L3V3BRDRPIKLU5HLHQHD2

not attested not anchored not stored refs pending

Lower and upper bounds for entanglement of R\'enyi-$\alpha$ entropy

Lin Chen, Wei Song, Zhuo-Liang Cao

arxiv:1604.02783 v3 · 2016-04-11 · 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{5NBV7L3V3BRDRPIKLU5HLHQHD2}

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	2026-05-18T00:49:34.598248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb435faf75d86238bd0a5d3a759e071e96f7adf783a0e436a3dabaaa94504b41

Aliases

arxiv: 1604.02783 · arxiv_version: 1604.02783v3 · doi: 10.48550/arxiv.1604.02783 · pith_short_12: 5NBV7L3V3BRD · pith_short_16: 5NBV7L3V3BRDRPIK · pith_short_8: 5NBV7L3V

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/5NBV7L3V3BRDRPIKLU5HLHQHD2 \
  | 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: eb435faf75d86238bd0a5d3a759e071e96f7adf783a0e436a3dabaaa94504b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd302ba339f4afefd05353f75d2efe15df0a25affc6a23b25e1949334ac1159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-11T03:56:11Z",
    "title_canon_sha256": "08ac318a7b5a4550f4ba916cd8999bf1a2ce27c519280c3badd09c200168216e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02783",
    "kind": "arxiv",
    "version": 3
  }
}