Pith Number

pith:AVKK7GQU

pith:2012:AVKK7GQUC6BSA4QYC52RXGKESM

not attested not anchored not stored refs pending

Local random quantum circuits are approximate polynomial-designs

Aram W. Harrow, Fernando G. S. L. Brandao, Michal Horodecki

arxiv:1208.0692 v4 · 2012-08-03 · 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{AVKK7GQUC6BSA4QYC52RXGKESM}

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

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Receipt and verification

First computed	2026-05-17T23:41:02.624147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0554af9a14178320721817751b9944930bc0fb8851ef23201e0e8ded040c990a

Aliases

arxiv: 1208.0692 · arxiv_version: 1208.0692v4 · doi: 10.48550/arxiv.1208.0692 · pith_short_12: AVKK7GQUC6BS · pith_short_16: AVKK7GQUC6BSA4QY · pith_short_8: AVKK7GQU

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/AVKK7GQUC6BSA4QYC52RXGKESM \
  | 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: 0554af9a14178320721817751b9944930bc0fb8851ef23201e0e8ded040c990a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bf441c242437a3b39a994e78a212dc120abc5f3b28d3d46dfbb74c6df14ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-03T08:59:49Z",
    "title_canon_sha256": "2a6b162393b90f65e93770b60305c411703b1875b821c8dad2db01e451a25ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0692",
    "kind": "arxiv",
    "version": 4
  }
}