Pith Number

pith:2Q5DTBDT

pith:2013:2Q5DTBDTXJUA44MLMJUNOFFVXH

not attested not anchored not stored refs pending

alpha-z-relative Renyi entropies

Koenraad M.R. Audenaert, Nilanjana Datta

arxiv:1310.7178 v3 · 2013-10-27 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Q5DTBDTXJUA44MLMJUNOFFVXH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

A general proof of integer R\'enyi QNEC

Receipt and verification

First computed	2026-05-18T01:20:17.957965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43a398473ba680e718b6268d714b5b9fc31c9f8350d8c8fbaf5683fa9f255b1

Aliases

arxiv: 1310.7178 · arxiv_version: 1310.7178v3 · doi: 10.48550/arxiv.1310.7178 · pith_short_12: 2Q5DTBDTXJUA · pith_short_16: 2Q5DTBDTXJUA44ML · pith_short_8: 2Q5DTBDT

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/2Q5DTBDTXJUA44MLMJUNOFFVXH \
  | 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: d43a398473ba680e718b6268d714b5b9fc31c9f8350d8c8fbaf5683fa9f255b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a811bbd4d54f672840f4062ff8deb6e49a2cc97715a8db334464b1f9ea42b2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-27T09:55:36Z",
    "title_canon_sha256": "5e89f0620bba83c55b78a68b5bc37568069890e1953e38ebeef774693d859512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7178",
    "kind": "arxiv",
    "version": 3
  }
}