Pith Number

pith:KCE67PMI

pith:2020:KCE67PMIE7DDVZ4D3B5GEFR23E

not attested not anchored not stored refs pending

Quantum Secret Sharing and Tripartite Information

Chloe Kim, Guangkuo Liu, Marius Junge, Peixue Wu

arxiv:2012.08445 v2 · 2020-12-15 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCE67PMIE7DDVZ4D3B5GEFR23E}

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	2026-07-05T02:00:00.423398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5089efbd8827c63ae783d87a62163ad92224495b00e34b7fe0384b315cc7a3be

Aliases

arxiv: 2012.08445 · arxiv_version: 2012.08445v2 · doi: 10.48550/arxiv.2012.08445 · pith_short_12: KCE67PMIE7DD · pith_short_16: KCE67PMIE7DDVZ4D · pith_short_8: KCE67PMI

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/KCE67PMIE7DDVZ4D3B5GEFR23E \
  | 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: 5089efbd8827c63ae783d87a62163ad92224495b00e34b7fe0384b315cc7a3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de856c95fa4227f9c6daa92702c6425803d8a60b7f83ac77fbd6e719b6a369a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-12-15T17:35:40Z",
    "title_canon_sha256": "c5ad7e2afaabc49413c5eea400f83f008c59711c57083ceceea2a78ad79c73c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08445",
    "kind": "arxiv",
    "version": 2
  }
}