Pith Number

pith:F52N4SUX

pith:2017:F52N4SUXECSIWKCS7EEA2K7RLS

not attested not anchored not stored refs pending

Efficient optimization of the quantum relative entropy

Hamza Fawzi, Omar Fawzi

arxiv:1705.06671 v2 · 2017-05-18 · quant-ph · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F52N4SUXECSIWKCS7EEA2K7RLS}

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	2026-05-18T00:08:36.565924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f74de4a9720a48b2852f9080d2bf15ca59949ce2280eda2169de25342097c6d

Aliases

arxiv: 1705.06671 · arxiv_version: 1705.06671v2 · doi: 10.48550/arxiv.1705.06671 · pith_short_12: F52N4SUXECSI · pith_short_16: F52N4SUXECSIWKCS · pith_short_8: F52N4SUX

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/F52N4SUXECSIWKCS7EEA2K7RLS \
  | 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: 2f74de4a9720a48b2852f9080d2bf15ca59949ce2280eda2169de25342097c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551d08e5e46e5cd99fe56477d4baa2f6f2c31aad8bea2dbe592fbe9585524806",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-05-18T16:09:46Z",
    "title_canon_sha256": "36a6f1f9332cdf2f32beb067cea280ee32963805434a087ea8196e78de2ca9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06671",
    "kind": "arxiv",
    "version": 2
  }
}