Pith Number

pith:AUUE3QDI

pith:2014:AUUE3QDI4OK4A56J7XCVRZFWN3

not attested not anchored not stored refs pending

A lower bound of quantum conditional mutual information

Junde Wu, Lin Zhang

arxiv:1403.1424 v2 · 2014-03-06 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUUE3QDI4OK4A56J7XCVRZFWN3}

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	2026-05-18T02:41:26.065193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05284dc068e395c077c9fdc558e4b66ed8d6f5ba1a43d975451f55350fe3bf54

Aliases

arxiv: 1403.1424 · arxiv_version: 1403.1424v2 · doi: 10.48550/arxiv.1403.1424 · pith_short_12: AUUE3QDI4OK4 · pith_short_16: AUUE3QDI4OK4A56J · pith_short_8: AUUE3QDI

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/AUUE3QDI4OK4A56J7XCVRZFWN3 \
  | 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: 05284dc068e395c077c9fdc558e4b66ed8d6f5ba1a43d975451f55350fe3bf54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d810e67f3c2ef33a0e1160b57120c77a67dd7b7f56026826cd2ee518feb76536",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-03-06T12:01:24Z",
    "title_canon_sha256": "0eaa08df1c80e594d9de0d2a8b833be1176c61da82b0f27f36534cb186930518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1424",
    "kind": "arxiv",
    "version": 2
  }
}