Pith Number

pith:45KT6LFN

pith:2013:45KT6LFNSIJZSM6G2UBABFHWYL

not attested not anchored not stored refs pending

Group representation approach to 1 - N universal quantum cloning machines

Marek Mozrzymas, Micha{\l} Horodecki, Micha{\l} Studzi\'nski, Piotr \'Cwikli\'nski

arxiv:1311.2772 v3 · 2013-11-12 · 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{45KT6LFNSIJZSM6G2UBABFHWYL}

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	2026-05-18T02:51:23.070941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7553f2cad92139933c6d5020094f6c2f5d3fbc8468dc7912997a952aa0f8b6d

Aliases

arxiv: 1311.2772 · arxiv_version: 1311.2772v3 · doi: 10.48550/arxiv.1311.2772 · pith_short_12: 45KT6LFNSIJZ · pith_short_16: 45KT6LFNSIJZSM6G · pith_short_8: 45KT6LFN

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/45KT6LFNSIJZSM6G2UBABFHWYL \
  | 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: e7553f2cad92139933c6d5020094f6c2f5d3fbc8468dc7912997a952aa0f8b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a715b1d29849a8ac60c1240914297b290581ab25d83a94ff628016d6dff92916",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-12T13:24:09Z",
    "title_canon_sha256": "04b684d57f1a2f05b6325f8ce3d3245a325d44f0895244f910712f8d8fcd6643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2772",
    "kind": "arxiv",
    "version": 3
  }
}