Pith Number

pith:QBWQRPZE

pith:2015:QBWQRPZEZOENCMX2EWHG22V7NZ

not attested not anchored not stored refs pending

Stability theorem of depolarizing channels for the minimal output quantum R\'enyi entropies

Barry C. Sanders, Eunok Bae, Gilad Gour, Jeonghoon Park, Soojoon Lee

arxiv:1510.07815 v1 · 2015-10-27 · 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{QBWQRPZEZOENCMX2EWHG22V7NZ}

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	2026-05-18T00:43:39.838028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806d08bf24cb88d132fa258e6d6abf6e579af2dae816fa5c060e262595ac0681

Aliases

arxiv: 1510.07815 · arxiv_version: 1510.07815v1 · doi: 10.48550/arxiv.1510.07815 · pith_short_12: QBWQRPZEZOEN · pith_short_16: QBWQRPZEZOENCMX2 · pith_short_8: QBWQRPZE

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/QBWQRPZEZOENCMX2EWHG22V7NZ \
  | 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: 806d08bf24cb88d132fa258e6d6abf6e579af2dae816fa5c060e262595ac0681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662aef0add0c960b2555c1630774889166ac9772c6d522232f73ef1712ad2c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-27T09:05:08Z",
    "title_canon_sha256": "ee13440258d87ffcd8b8211302af93a320ec6c360f7bfb34ffa23ba4dc166f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07815",
    "kind": "arxiv",
    "version": 1
  }
}