Pith Number

pith:F7IIK7A3

pith:2025:F7IIK7A3NYD2H4OHQAMZOTBXRX

not attested not anchored not stored refs pending

Uniformity within Parameterized Circuit Classes

Alfons Laarman, Jan Martens, Steef Hegeman

arxiv:2509.09657 v1 · 2025-09-11 · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7IIK7A3NYD2H4OHQAMZOTBXRX}

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	2026-07-05T12:09:40.396997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd0857c1b6e07a3f1c78019974c378dc4e661f93af4a9e5aaa6d3dee3252796

Aliases

arxiv: 2509.09657 · arxiv_version: 2509.09657v1 · doi: 10.48550/arxiv.2509.09657 · pith_short_12: F7IIK7A3NYD2 · pith_short_16: F7IIK7A3NYD2H4OH · pith_short_8: F7IIK7A3

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/F7IIK7A3NYD2H4OHQAMZOTBXRX \
  | 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: 2fd0857c1b6e07a3f1c78019974c378dc4e661f93af4a9e5aaa6d3dee3252796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6e6fd3a780bfd04f92adc4bfdaf0134bd8055b3edac15ef04b20d114e689fa",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-09-11T17:52:41Z",
    "title_canon_sha256": "b770c6e74c7a6419a4824bda8fe596b573e297ce22e8e19c922c6ee72fcf91ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09657",
    "kind": "arxiv",
    "version": 1
  }
}