Pith Number

pith:6QTBDAPY

pith:2026:6QTBDAPYI5RXLSV6LYFK6GVGEA

not attested not anchored not stored refs pending

Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits

Chengkai Zhu, Guocheng Zhen, Ranyiliu Chen, Xin Wang, Xuanrong Yang

arxiv:2606.13470 v1 · 2026-06-11 · 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{6QTBDAPYI5RXLSV6LYFK6GVGEA}

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.

Receipt and verification

First computed	2026-06-12T01:10:04.222439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4261181f8476375cabe5e0aaf1aa620387ce5caee51282b2da7c3282e898b82

Aliases

arxiv: 2606.13470 · arxiv_version: 2606.13470v1 · doi: 10.48550/arxiv.2606.13470 · pith_short_12: 6QTBDAPYI5RX · pith_short_16: 6QTBDAPYI5RXLSV6 · pith_short_8: 6QTBDAPY

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/6QTBDAPYI5RXLSV6LYFK6GVGEA \
  | 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: f4261181f8476375cabe5e0aaf1aa620387ce5caee51282b2da7c3282e898b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20397ed694b5aa606cad88e822a44aadd166f29d2293a39cded2788b71da1586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-11T15:21:26Z",
    "title_canon_sha256": "d424e4949e7e95fa788553a7893d412d92fb0fa9cb4508c171a011d6714d0ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13470",
    "kind": "arxiv",
    "version": 1
  }
}