Pith Number

pith:AAIWEBHV

pith:2010:AAIWEBHVD26LRPRWYZHP35X3UK

not attested not anchored not stored refs pending

Subadditivity of the minimum output entropy and superactivation of the classical capacity of quantum multiple access channels

Lukasz Czekaj

arxiv:1101.0264 v2 · 2010-12-31 · 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{AAIWEBHVD26LRPRWYZHP35X3UK}

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	2026-05-18T04:00:16.048352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00116204f51ebcb8be36c64efdf6fba29a6587a0afd58d18205011b39ede1c11

Aliases

arxiv: 1101.0264 · arxiv_version: 1101.0264v2 · doi: 10.48550/arxiv.1101.0264 · pith_short_12: AAIWEBHVD26L · pith_short_16: AAIWEBHVD26LRPRW · pith_short_8: AAIWEBHV

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/AAIWEBHVD26LRPRWYZHP35X3UK \
  | 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: 00116204f51ebcb8be36c64efdf6fba29a6587a0afd58d18205011b39ede1c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeff3a249edd23b3316321d55e91e1844a1cd30bff5e2a01c26156506dc5c572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-31T15:39:35Z",
    "title_canon_sha256": "931cd4d6770def540b15f17b1c9ee1417153af778be8a3f1411a395f8317c249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0264",
    "kind": "arxiv",
    "version": 2
  }
}