Pith Number

pith:GPH2CI24

pith:2011:GPH2CI24QXWHH22UXAFAJUW2KD

not attested not anchored not stored refs pending

On correlations and mutual entropy in quantum composed systems

Dariusz Chru\'sci\'nski, Masanori Ohya, Takashi Matsuoka, Yuji Hirota

arxiv:1109.3438 v2 · 2011-09-15 · 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{GPH2CI24QXWHH22UXAFAJUW2KD}

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	2026-05-18T03:45:43.714443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cfa1235c85ec73eb54b80a04d2da50ca55fd920d47f78c16bc59567d81a874

Aliases

arxiv: 1109.3438 · arxiv_version: 1109.3438v2 · doi: 10.48550/arxiv.1109.3438 · pith_short_12: GPH2CI24QXWH · pith_short_16: GPH2CI24QXWHH22U · pith_short_8: GPH2CI24

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/GPH2CI24QXWHH22UXAFAJUW2KD \
  | 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: 33cfa1235c85ec73eb54b80a04d2da50ca55fd920d47f78c16bc59567d81a874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0aefefa7af6b36f5af6ee6a75d43fc71b281c750b476b004bfe9a7dc922596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-15T19:28:38Z",
    "title_canon_sha256": "456714427fa7315d475e645c41ec95d7401528fd05364fdb9b4c96fe13e78293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3438",
    "kind": "arxiv",
    "version": 2
  }
}