Pith Number

pith:FZXUJM67

pith:2025:FZXUJM674WFDUZHFSZL7CGUSVB

not attested not anchored not stored refs pending

Operator Spreading in Random Unitary Circuits with Unitary-invariant Gate Distributions

Piet W. Brouwer, Zhiyang Tan

arxiv:2501.04091 v3 · 2025-01-07 · 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{FZXUJM674WFDUZHFSZL7CGUSVB}

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	2026-07-05T10:57:32.630232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6f44b3dfe58a3a64e59657f11a92a870b7e068d4e97ea689b097373905c6c7

Aliases

arxiv: 2501.04091 · arxiv_version: 2501.04091v3 · doi: 10.48550/arxiv.2501.04091 · pith_short_12: FZXUJM674WFD · pith_short_16: FZXUJM674WFDUZHF · pith_short_8: FZXUJM67

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/FZXUJM674WFDUZHFSZL7CGUSVB \
  | 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: 2e6f44b3dfe58a3a64e59657f11a92a870b7e068d4e97ea689b097373905c6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae692e0fafa9ce8e9486d5a90dac19d0d66773f0483e85977b5a76a3ff85885",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-07T19:00:04Z",
    "title_canon_sha256": "22ca1ab40f3bdd022901740f277da2cab70fe5849143e55a085d5e9c775db337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04091",
    "kind": "arxiv",
    "version": 3
  }
}