Pith Number

pith:DEF66TUL

pith:2024:DEF66TULGVLEZQIL5TXDEIOE5A

not attested not anchored not stored refs pending

Conditional t-independent spectral gap for random quantum circuits and implications for t-design depths

Bryan K. Clark, Daniel Belkin, James Allen

arxiv:2411.13739 v2 · 2024-11-20 · quant-ph · physics.comp-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{DEF66TULGVLEZQIL5TXDEIOE5A}

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	2026-07-05T10:09:12.160833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190bef4e8b35564cc10becee3221c4e816b71cd40d05c02bc26de7b2417b0e29

Aliases

arxiv: 2411.13739 · arxiv_version: 2411.13739v2 · doi: 10.48550/arxiv.2411.13739 · pith_short_12: DEF66TULGVLE · pith_short_16: DEF66TULGVLEZQIL · pith_short_8: DEF66TUL

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/DEF66TULGVLEZQIL5TXDEIOE5A \
  | 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: 190bef4e8b35564cc10becee3221c4e816b71cd40d05c02bc26de7b2417b0e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c5ab290264d381e71670428b1568fb91c1efa0ce03a296bfa140f9fcfe2746",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-11-20T22:46:10Z",
    "title_canon_sha256": "142e22be40536f67630759af7ea3ddff1049a2fcada79ebc74bf4f3a00de6bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13739",
    "kind": "arxiv",
    "version": 2
  }
}