Pith Number

pith:HGKGVEWW

pith:2020:HGKGVEWWW6ZENABNBLGSA4CAUB

not attested not anchored not stored refs pending

Defining quantum divergences via convex optimization

Hamza Fawzi, Omar Fawzi

arxiv:2007.12576 v2 · 2020-07-24 · 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{HGKGVEWWW6ZENABNBLGSA4CAUB}

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	2026-07-05T02:09:43.702901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39946a92d6b7b246802d0acd207040a06e672c9d5cb2a0888fb74da214ee8b59

Aliases

arxiv: 2007.12576 · arxiv_version: 2007.12576v2 · doi: 10.48550/arxiv.2007.12576 · pith_short_12: HGKGVEWWW6ZE · pith_short_16: HGKGVEWWW6ZENABN · pith_short_8: HGKGVEWW

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/HGKGVEWWW6ZENABNBLGSA4CAUB \
  | 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: 39946a92d6b7b246802d0acd207040a06e672c9d5cb2a0888fb74da214ee8b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dddf810a1e0363583e0caa726ca0283543de7793ce2ab6f1aea7b93aa24a198",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-07-24T15:28:44Z",
    "title_canon_sha256": "9609c91d8deac37501b80f372b44bcba83aa83704eeb122bc517e69f49032412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12576",
    "kind": "arxiv",
    "version": 2
  }
}