Pith Number

pith:B4I7MYQI

pith:2024:B4I7MYQI5P2YW272H74JOFLSBH

not attested not anchored not stored refs pending

On the Constant-Depth Circuit Complexity of Generating Quasigroups

Armin Wei{\ss}, Joshua A. Grochow, Michael Levet, Nathaniel A. Collins

arxiv:2402.00133 v5 · 2024-01-31 · cs.CC · cs.DS · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4I7MYQI5P2YW272H74JOFLSBH}

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

Membership and Conjugacy in Inverse Semigroups

Receipt and verification

First computed	2026-07-05T11:59:04.501811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f11f66208ebf58b6bfa3ff897157209f4c90428d2eb7a1a2491e5cd1d2cc6b4

Aliases

arxiv: 2402.00133 · arxiv_version: 2402.00133v5 · doi: 10.48550/arxiv.2402.00133 · pith_short_12: B4I7MYQI5P2Y · pith_short_16: B4I7MYQI5P2YW272 · pith_short_8: B4I7MYQI

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/B4I7MYQI5P2YW272H74JOFLSBH \
  | 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: 0f11f66208ebf58b6bfa3ff897157209f4c90428d2eb7a1a2491e5cd1d2cc6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88bd8b0754990de83a6a68c47e7ef69dd716181e171baf27439bddcb23e9a62",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-01-31T19:17:52Z",
    "title_canon_sha256": "a2f2dde893cae17622cd93cd9d8dfbee8dd77f3564d18bc4521bfb924bce4ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00133",
    "kind": "arxiv",
    "version": 5
  }
}