Pith Number

pith:ODW45MI2

pith:2005:ODW45MI2SWBEWP6ITIBLEHSE6U

not attested not anchored not stored refs pending

Convergence Conditions for Random Quantum Circuits

Etera Livine, Joseph Emerson, Seth Lloyd

arxiv:quant-ph/0503210 v3 · 2005-03-28 · 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{ODW45MI2SWBEWP6ITIBLEHSE6U}

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

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Receipt and verification

First computed	2026-07-04T16:57:32.022987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70edceb11a95824b3fc89a02b21e44f535cfb914e78ca3ddf73b89053dc60ff3

Aliases

arxiv: quant-ph/0503210 · arxiv_version: quant-ph/0503210v3 · doi: 10.48550/arxiv.quant-ph/0503210 · pith_short_12: ODW45MI2SWBE · pith_short_16: ODW45MI2SWBEWP6I · pith_short_8: ODW45MI2

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/ODW45MI2SWBEWP6ITIBLEHSE6U \
  | 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: 70edceb11a95824b3fc89a02b21e44f535cfb914e78ca3ddf73b89053dc60ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d8d8c1f524c9f6f399dfd031c69c10b17344de8d086e88a350c4dfd0218dcb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-28T18:52:29Z",
    "title_canon_sha256": "4c584b850bffb5d0d366673308493e0ff39b4f8a5441fea69b370486241e7aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503210",
    "kind": "arxiv",
    "version": 3
  }
}