Pith Number

pith:KZ6KQNBL

pith:2023:KZ6KQNBLNHEO5MOGVK7UXHJJII

not attested not anchored not stored refs pending

Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial

Antonio Anna Mele

arxiv:2307.08956 v4 · 2023-07-18 · 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{KZ6KQNBLNHEO5MOGVK7UXHJJII}

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

5 papers in Pith

Entanglement Asymmetry in Random Quantum Automata

The most discriminable quantum states in the multicopy regime

Quantum Advantage in Storage and Retrieval of Isometry Channels

The most discriminable quantum states in the multicopy regime

Enabling Lie-Algebraic Classical Simulation beyond Free Fermions

Receipt and verification

First computed	2026-07-05T08:16:21.448566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567ca8342b69c8eeb1c6aabf4b9d294230131ddf06a7cede002111e16aabbea1

Aliases

arxiv: 2307.08956 · arxiv_version: 2307.08956v4 · doi: 10.48550/arxiv.2307.08956 · pith_short_12: KZ6KQNBLNHEO · pith_short_16: KZ6KQNBLNHEO5MOG · pith_short_8: KZ6KQNBL

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/KZ6KQNBLNHEO5MOGVK7UXHJJII \
  | 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: 567ca8342b69c8eeb1c6aabf4b9d294230131ddf06a7cede002111e16aabbea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e51d4d61424d7e0553a617087fc2b68a7e0ca8313f6bf054a0a3e717630ef7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-07-18T03:50:54Z",
    "title_canon_sha256": "e1ddfd97fec5e996f4393cd64b745d558f7608d6552559fe02349e054de4ef49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08956",
    "kind": "arxiv",
    "version": 4
  }
}