Pith Number

pith:FWYPO5VS

pith:2022:FWYPO5VSGCMCNT4BOCB5R5YGKM

not attested not anchored not stored refs pending

Smaller Low-Depth Circuits for Kronecker Powers

Ashwin Padaki, Josh Alman, Yunfeng Guan

arxiv:2211.05217 v1 · 2022-11-09 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWYPO5VSGCMCNT4BOCB5R5YGKM}

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	2026-07-05T05:15:01.447786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db0f776b2309826cf817083d8f706531705150491db528f3c1d29a5a4964cfc

Aliases

arxiv: 2211.05217 · arxiv_version: 2211.05217v1 · doi: 10.48550/arxiv.2211.05217 · pith_short_12: FWYPO5VSGCMC · pith_short_16: FWYPO5VSGCMCNT4B · pith_short_8: FWYPO5VS

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/FWYPO5VSGCMCNT4BOCB5R5YGKM \
  | 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: 2db0f776b2309826cf817083d8f706531705150491db528f3c1d29a5a4964cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f66c1e34be13f99afc9655c4f824dd8426275b5fbd7f05180a47417b4bb1e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-11-09T21:58:36Z",
    "title_canon_sha256": "96e6f71c2d7eaa38e217590686d4daf13abd16fd47c93069f1744d62414c3e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05217",
    "kind": "arxiv",
    "version": 1
  }
}