Pith Number

pith:HW7626NP

pith:2004:HW7626NPMC4OC7WL2EKRQAKEM4

not attested not anchored not stored refs pending

Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications

Joseph Emerson

arxiv:quant-ph/0410087 v1 · 2004-10-12 · 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{HW7626NPMC4OC7WL2EKRQAKEM4}

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	2026-07-04T16:50:25.975996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbfed79af60b8e17ecbd115180144670c6c2b034f138544c83773685c0bada8

Aliases

arxiv: quant-ph/0410087 · arxiv_version: quant-ph/0410087v1 · doi: 10.48550/arxiv.quant-ph/0410087 · pith_short_12: HW7626NPMC4O · pith_short_16: HW7626NPMC4OC7WL · pith_short_8: HW7626NP

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/HW7626NPMC4OC7WL2EKRQAKEM4 \
  | 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: 3dbfed79af60b8e17ecbd115180144670c6c2b034f138544c83773685c0bada8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a3eb23d8a00a7d82b249ad386f04f93c285a74e6b41c7054cac53fcd076bce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-10-12T19:58:10Z",
    "title_canon_sha256": "eae56becf55f7ae730c7573044158553ea022405808b75d6be9c4665ba5b3976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0410087",
    "kind": "arxiv",
    "version": 1
  }
}