Pith Number

pith:OSV6SRFG

pith:2015:OSV6SRFGIK6YUR7VGCNIC6LUGV

not attested not anchored not stored refs pending

Universal recovery maps and approximate sufficiency of quantum relative entropy

Andreas Winter, David Sutter, Marius Junge, Mark M. Wilde, Renato Renner

arxiv:1509.07127 v3 · 2015-09-23 · 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{OSV6SRFGIK6YUR7VGCNIC6LUGV}

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

1 paper in Pith

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Receipt and verification

First computed	2026-05-18T00:05:51.650811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74abe944a642bd8a47f5309a8179743560c6e999caad23682c3c6d432db915c7

Aliases

arxiv: 1509.07127 · arxiv_version: 1509.07127v3 · doi: 10.48550/arxiv.1509.07127 · pith_short_12: OSV6SRFGIK6Y · pith_short_16: OSV6SRFGIK6YUR7V · pith_short_8: OSV6SRFG

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/OSV6SRFGIK6YUR7VGCNIC6LUGV \
  | 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: 74abe944a642bd8a47f5309a8179743560c6e999caad23682c3c6d432db915c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8287c39d0cdffc56f71dac9f1d51a04021c1881e719b5188167bf9d303c26e",
    "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": "2015-09-23T20:07:12Z",
    "title_canon_sha256": "a5e9b6ae2a3c18345c457071364b30d6a133aa023d24377e14c2f12bcf981455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07127",
    "kind": "arxiv",
    "version": 3
  }
}