Pith Number

pith:OLQWGYHF

pith:2018:OLQWGYHFSRZ3SGPDEKGSEOPNKY

not attested not anchored not stored refs pending

Quantum conditional relative entropy and quasi-factorization of the relative entropy

Angela Capel, Angelo Lucia, David P\'erez-Garc\'ia

arxiv:1804.09525 v2 · 2018-04-17 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLQWGYHFSRZ3SGPDEKGSEOPNKY}

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	2026-05-18T00:01:47.279865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e16360e59473b919e3228d2239ed563a3807b3848fe180036ae5ef1dd63a21

Aliases

arxiv: 1804.09525 · arxiv_version: 1804.09525v2 · doi: 10.48550/arxiv.1804.09525 · pith_short_12: OLQWGYHFSRZ3 · pith_short_16: OLQWGYHFSRZ3SGPD · pith_short_8: OLQWGYHF

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/OLQWGYHFSRZ3SGPDEKGSEOPNKY \
  | 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: 72e16360e59473b919e3228d2239ed563a3807b3848fe180036ae5ef1dd63a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b7aacf6ae950e30cb5a3e3c46907ac1127c5c845d657be897f5316f01afe80",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-04-17T16:02:42Z",
    "title_canon_sha256": "832f6346f93ba93ec29c0506a4f752327724a07691f5aa0a8a1267ee4e83b078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09525",
    "kind": "arxiv",
    "version": 2
  }
}