Pith Number

pith:V36IILXK

pith:2011:V36IILXKAVOFACMKAQ336DQITJ

not attested not anchored not stored refs pending

Average output entropy for quantum channels

Christopher King, David K. Moser

arxiv:1105.2282 v2 · 2011-05-11 · 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{V36IILXKAVOFACMKAQ336DQITJ}

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	2026-05-18T02:01:59.510895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefc842eea055c50098a0437bf0e089a6a8f7138fad87bad9ee8cbd98c68a338

Aliases

arxiv: 1105.2282 · arxiv_version: 1105.2282v2 · doi: 10.48550/arxiv.1105.2282 · pith_short_12: V36IILXKAVOF · pith_short_16: V36IILXKAVOFACMK · pith_short_8: V36IILXK

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/V36IILXKAVOFACMKAQ336DQITJ \
  | 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: aefc842eea055c50098a0437bf0e089a6a8f7138fad87bad9ee8cbd98c68a338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077b77ade20d083a42e3332dfdcf2ff0bf17065f31cd53aec230aa4f310e659b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-11T19:39:06Z",
    "title_canon_sha256": "a880885ed7b0986424f25874c5b7be7f7921cc1e1076856ce9b35004518872f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2282",
    "kind": "arxiv",
    "version": 2
  }
}