Pith Number

pith:S5K55LP7

pith:2023:S5K55LP7LBMUE6NA3BR6HR47RZ

not attested not anchored not stored refs pending

Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels

Li Gao, Marius Junge, Nicholas LaRacuente

arxiv:2301.08402 v1 · 2023-01-20 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5K55LP7LBMUE6NA3BR6HR47RZ}

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	2026-07-05T05:34:35.862710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9755deadff58594279a0d863e3c79f8e4900230aee3dad03ec9b2b10f6b07888

Aliases

arxiv: 2301.08402 · arxiv_version: 2301.08402v1 · doi: 10.48550/arxiv.2301.08402 · pith_short_12: S5K55LP7LBMU · pith_short_16: S5K55LP7LBMUE6NA · pith_short_8: S5K55LP7

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/S5K55LP7LBMUE6NA3BR6HR47RZ \
  | 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: 9755deadff58594279a0d863e3c79f8e4900230aee3dad03ec9b2b10f6b07888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34497e133da3668835475d198ad92b73561d4447561b2bddf23124286b57b969",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-01-20T02:34:31Z",
    "title_canon_sha256": "2fad2016edc6471b4c743203db0b82474b825527537c54f5c446c34af5ad1156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08402",
    "kind": "arxiv",
    "version": 1
  }
}