Pith Number

pith:MSEXKPFY

pith:2025:MSEXKPFYKIV3AFC3TIHAJMWNWY

not attested not anchored not stored refs pending

Tight bounds on depth-2 QAC-circuits computing parity

Daniel Grier, Daniel Pad\'e, Stephen Fenner, Thomas Thierauf

arxiv:2504.06433 v1 · 2025-04-08 · quant-ph · cs.CC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSEXKPFYKIV3AFC3TIHAJMWNWY}

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

3 papers in Pith

Evergreen: Efficient Claim Verification for Semantic Aggregates

On the Computational Complexity of Geometrically Local QAC0 circuits

Hard-to-Sample Distributions from Robust Extractors

Receipt and verification

First computed	2026-07-05T10:46:26.735880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6489753cb8522bb0145b9a0e04b2cdb6263b416027f3c2ee691fd80c6ebb07c2

Aliases

arxiv: 2504.06433 · arxiv_version: 2504.06433v1 · doi: 10.48550/arxiv.2504.06433 · pith_short_12: MSEXKPFYKIV3 · pith_short_16: MSEXKPFYKIV3AFC3 · pith_short_8: MSEXKPFY

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/MSEXKPFYKIV3AFC3TIHAJMWNWY \
  | 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: 6489753cb8522bb0145b9a0e04b2cdb6263b416027f3c2ee691fd80c6ebb07c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873ca0adb3feae0b564b31d2cae7d7ad967a61efc7acac4a8db08da3a3b22572",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-04-08T21:05:39Z",
    "title_canon_sha256": "4ffea82bec22b9ecc8028044134537ceefb7a11a93c37b61c6140d119acb62dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06433",
    "kind": "arxiv",
    "version": 1
  }
}