Pith Number

pith:MUP6EINU

pith:2013:MUP6EINU4AJXAKVER24SO7REPV

not attested not anchored not stored refs pending

A universal framework for entanglement detection

Marek Ku\'s, Micha{\l} Oszmaniec

arxiv:1306.2376 v2 · 2013-06-10 · math-ph · math.MP · 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{MUP6EINU4AJXAKVER24SO7REPV}

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	2026-05-18T01:49:23.950665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651fe221b4e013702aa48eb9277e247d56fd5d0783f6cb206f8a36abd1c4d20e

Aliases

arxiv: 1306.2376 · arxiv_version: 1306.2376v2 · doi: 10.48550/arxiv.1306.2376 · pith_short_12: MUP6EINU4AJX · pith_short_16: MUP6EINU4AJXAKVE · pith_short_8: MUP6EINU

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/MUP6EINU4AJXAKVER24SO7REPV \
  | 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: 651fe221b4e013702aa48eb9277e247d56fd5d0783f6cb206f8a36abd1c4d20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75db54dfcce958925ad238c38c07e58f1a33f23ba338bedfcaa843a707cb86c2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-10T22:42:30Z",
    "title_canon_sha256": "b2ea053ee25051338725e79e9a567e9498418aefad243f99920b363b673b21fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2376",
    "kind": "arxiv",
    "version": 2
  }
}