Pith Number

pith:2ML7EDD7

pith:2016:2ML7EDD7FI6LG7IN7KKIGUJ3WZ

not attested not anchored not stored refs pending

Preservation of a quantum Renyi relative entropy implies existence of a recovery map

Anna Jencova

arxiv:1604.02831 v4 · 2016-04-11 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ML7EDD7FI6LG7IN7KKIGUJ3WZ}

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	2026-05-18T00:52:08.467672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d317f20c7f2a3cb37d0dfa9483513bb6561f6429172bc6b0e6eeb866d5905b08

Aliases

arxiv: 1604.02831 · arxiv_version: 1604.02831v4 · doi: 10.48550/arxiv.1604.02831 · pith_short_12: 2ML7EDD7FI6L · pith_short_16: 2ML7EDD7FI6LG7IN · pith_short_8: 2ML7EDD7

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/2ML7EDD7FI6LG7IN7KKIGUJ3WZ \
  | 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: d317f20c7f2a3cb37d0dfa9483513bb6561f6429172bc6b0e6eeb866d5905b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0366e2ed5b482cf625ebcf27d793aa553407ea5082089e0cff9f415ec10752c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-11T08:37:54Z",
    "title_canon_sha256": "27392e1b585371088dba4ac31d817668123224084c6407d9ec0c95dc5f6399d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02831",
    "kind": "arxiv",
    "version": 4
  }
}