Pith Number

pith:UDHLDH3M

pith:2006:UDHLDH3MFY2T3BUXBKYBMKU373

not attested not anchored not stored refs pending

Evenly distributed unitaries: on the structure of unitary designs

D. Gross, J. Eisert, K. Audenaert

arxiv:quant-ph/0611002 v2 · 2006-10-31 · 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{UDHLDH3MFY2T3BUXBKYBMKU373}

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.

Cited by

2 papers in Pith

Symmetries and overparametrization properties of Hamiltonian variational ansatzes for the $(1+1)$d $\mathbb{Z}_2$ lattice gauge theory

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Receipt and verification

First computed	2026-07-04T17:03:35.992925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ceb19f6c2e353d86970ab0162a9bfeff44727b7cfb88d63e335c9e5ed8e099

Aliases

arxiv: quant-ph/0611002 · arxiv_version: quant-ph/0611002v2 · doi: 10.48550/arxiv.quant-ph/0611002 · pith_short_12: UDHLDH3MFY2T · pith_short_16: UDHLDH3MFY2T3BUX · pith_short_8: UDHLDH3M

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/UDHLDH3MFY2T3BUXBKYBMKU373 \
  | 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: a0ceb19f6c2e353d86970ab0162a9bfeff44727b7cfb88d63e335c9e5ed8e099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b648f421a70ae0697250ddd5a7ec2f4ed4b2a072ffc7e970981a2f93610500",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-31T21:03:52Z",
    "title_canon_sha256": "0f989fc4d300295451d8a2c0d5cadd148c7900d6f9f102264bddc84b87f7f265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611002",
    "kind": "arxiv",
    "version": 2
  }
}