Pith Number

pith:ZE22VQUB

pith:1996:ZE22VQUBL6X4AWGXYNHCARQA3D

not attested not anchored not stored refs pending

Stabilisation of Quantum Computations by Symmetrisation

Adriano Barenco, Andre` Berthiaume, Artur Ekert, Chiara Macchiavello, David Deutsch, Richard Jozsa

arxiv:quant-ph/9604028 v1 · 1996-04-25 · 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{ZE22VQUBL6X4AWGXYNHCARQA3D}

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

1 paper in Pith

An Algorithm for Estimating $\alpha$-Stabilizer R\'enyi Entropies via Purity

Receipt and verification

First computed	2026-07-04T14:47:04.554681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c935aac2815fafc058d7c34e204600d8d1c86f9a7f2aa10cfb80218d0826ea55

Aliases

arxiv: quant-ph/9604028 · arxiv_version: quant-ph/9604028v1 · doi: 10.48550/arxiv.quant-ph/9604028 · pith_short_12: ZE22VQUBL6X4 · pith_short_16: ZE22VQUBL6X4AWGX · pith_short_8: ZE22VQUB

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/ZE22VQUBL6X4AWGXYNHCARQA3D \
  | 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: c935aac2815fafc058d7c34e204600d8d1c86f9a7f2aa10cfb80218d0826ea55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b38bf42f63e9ad168c7acdced03957dc82a90a91369d805d133b7d31b5b58d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-04-25T10:58:27Z",
    "title_canon_sha256": "ab1c3dc6cc45dcc8b4795e682e693e1841930b23512a2f799b08f7933c20981d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9604028",
    "kind": "arxiv",
    "version": 1
  }
}