Pith Number

pith:ULETYJJZ

pith:2008:ULETYJJZV6SJFCBGJ3T5QQFEW7

not attested not anchored not stored refs pending

Random Quantum Circuits are Approximate 2-designs

Aram W. Harrow, Richard A. Low

arxiv:0802.1919 v3 · 2008-02-13 · 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{ULETYJJZV6SJFCBGJ3T5QQFEW7}

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

Entanglement and information scrambling in long-range measurement-only circuits

Receipt and verification

First computed	2026-05-18T02:16:01.076670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c93c2539afa49288264ee7d840a4b7f1db45d9d8a50e4a08c3fd2b6f3116da

Aliases

arxiv: 0802.1919 · arxiv_version: 0802.1919v3 · doi: 10.48550/arxiv.0802.1919 · pith_short_12: ULETYJJZV6SJ · pith_short_16: ULETYJJZV6SJFCBG · pith_short_8: ULETYJJZ

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/ULETYJJZV6SJFCBGJ3T5QQFEW7 \
  | 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: a2c93c2539afa49288264ee7d840a4b7f1db45d9d8a50e4a08c3fd2b6f3116da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384eac2db8ffe7e237bb39ace6a885c41603e101dd8b2ad54084a86bae009386",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-02-13T21:02:17Z",
    "title_canon_sha256": "3719e4434024ba6521164e4707be137dae36051d1f6379ffbb0bd03587808c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1919",
    "kind": "arxiv",
    "version": 3
  }
}