Pith Number

pith:SHLARQHP

pith:2017:SHLARQHPNTLMSOEVRFDATU427X

not attested not anchored not stored refs pending

Superadditivity of quantum relative entropy for general states

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

arxiv:1705.03521 v3 · 2017-05-09 · quant-ph · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHLARQHPNTLMSOEVRFDATU427X}

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	2026-05-18T00:09:05.820330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d608c0ef6cd6c93895894609d39afdc20ddb64644017b22b0e008c35fb6bb8

Aliases

arxiv: 1705.03521 · arxiv_version: 1705.03521v3 · doi: 10.48550/arxiv.1705.03521 · pith_short_12: SHLARQHPNTLM · pith_short_16: SHLARQHPNTLMSOEV · pith_short_8: SHLARQHP

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/SHLARQHPNTLMSOEVRFDATU427X \
  | 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: 91d608c0ef6cd6c93895894609d39afdc20ddb64644017b22b0e008c35fb6bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5f72d081d554d6bf72f589de80b8e77082fade888a02c517e45a49bd78c32e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-05-09T20:04:03Z",
    "title_canon_sha256": "7995af229c6b365d338e677828a2986377c72aa2b886a3ec9cf293cbf7c63cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03521",
    "kind": "arxiv",
    "version": 3
  }
}