Pith Number

pith:IBR4AM4W

pith:2026:IBR4AM4W3WRIOE7VQ3WO44HYU5

not attested not anchored not stored refs pending

Typical Output States of Monitored Random Clifford Circuits: A Graph-Theoretic Approach

Yu-Xiang Zhang, Yu-Xuan Zhang

arxiv:2608.03102 v1 · 2026-08-04 · quant-ph · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBR4AM4W3WRIOE7VQ3WO44HYU5}

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	2026-08-05T00:45:40.432236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4063c03396dda28713f586ecee70f8a74a7984175ff37fd07e4c5bf2d193bb2f

Aliases

arxiv: 2608.03102 · arxiv_version: 2608.03102v1 · doi: 10.48550/arxiv.2608.03102 · pith_short_12: IBR4AM4W3WRI · pith_short_16: IBR4AM4W3WRIOE7V · pith_short_8: IBR4AM4W

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/IBR4AM4W3WRIOE7VQ3WO44HYU5 \
  | 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: 4063c03396dda28713f586ecee70f8a74a7984175ff37fd07e4c5bf2d193bb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bbb6d47a190a9b2f9cbed807b52ad1043936455cf7db2567b03ca1a8d896c3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-04T04:19:07Z",
    "title_canon_sha256": "4a9d4598ef85f9c8f4da55680c867093ddbb4f72d5ade1dd9f9fe687be6ffa9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03102",
    "kind": "arxiv",
    "version": 1
  }
}