Pith Number

pith:E7MIRSDH

pith:2012:E7MIRSDHBFYQPEESAXGXWPN3SL

not attested not anchored not stored refs pending

Partial transpose of random quantum states: exact formulas and meanders

Motohisa Fukuda, Piotr \'Sniady

arxiv:1211.1525 v2 · 2012-11-07 · math-ph · math.MP · math.PR · 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{E7MIRSDHBFYQPEESAXGXWPN3SL}

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	2026-05-18T03:18:31.451001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d888c867097107909205cd7b3dbb92f65e4363bd144b0e09182fc496e80bac

Aliases

arxiv: 1211.1525 · arxiv_version: 1211.1525v2 · doi: 10.48550/arxiv.1211.1525 · pith_short_12: E7MIRSDHBFYQ · pith_short_16: E7MIRSDHBFYQPEES · pith_short_8: E7MIRSDH

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/E7MIRSDHBFYQPEESAXGXWPN3SL \
  | 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: 27d888c867097107909205cd7b3dbb92f65e4363bd144b0e09182fc496e80bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2faf5f6892cf748a31050c36559330e7e87b9242f5ef4480fbcbbe3bfb46489",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-07T12:47:05Z",
    "title_canon_sha256": "28f2459e088818bd481dd76f697ccdfeccd6dece0f0dfba4735f61c64e475218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1525",
    "kind": "arxiv",
    "version": 2
  }
}