Pith Number

pith:ERAN6SGM

pith:2025:ERAN6SGMFIMCHNUCEUJZK7VPB3

not attested not anchored not stored refs pending

Operator convexity along lines, self-concordance, and sandwiched R\'enyi entropies

Hamza Fawzi, James Saunderson, Kerry He

arxiv:2502.05627 v1 · 2025-02-08 · math.OC · 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{ERAN6SGMFIMCHNUCEUJZK7VPB3}

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.

Cited by

3 papers in Pith

Generalized Numerical Framework for Improved Finite-Sized Key Rates with R\'enyi Entropy

Finite-size quantum key distribution rates from R\'enyi entropies using conic optimization

Finite-size general security for relativistic phase shift keying via variable-length quantum key distribution

Receipt and verification

First computed	2026-07-05T10:11:40.741904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2440df48cc2a1823b6822513957eaf0ec812ffc81689a5dba68eb456d8f56057

Aliases

arxiv: 2502.05627 · arxiv_version: 2502.05627v1 · doi: 10.48550/arxiv.2502.05627 · pith_short_12: ERAN6SGMFIMC · pith_short_16: ERAN6SGMFIMCHNUC · pith_short_8: ERAN6SGM

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/ERAN6SGMFIMCHNUCEUJZK7VPB3 \
  | 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: 2440df48cc2a1823b6822513957eaf0ec812ffc81689a5dba68eb456d8f56057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a432eab53130ddbf50c3742047c1931fbf10a127ab503f0d3a63f0b5506cd5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-08T16:17:57Z",
    "title_canon_sha256": "14ca58aa23c4261b89a13848ebaa20e78d368622169e50e1362ff9ea639fbc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05627",
    "kind": "arxiv",
    "version": 1
  }
}