Pith Number

pith:XK24KFLQ

pith:2025:XK24KFLQKI4GTK22Z3DTR4GV4D

not attested not anchored not stored refs pending

Irrational Complex Rotations Empower Low-bit Optimizers

Ji-Rong Wen, Wayne Xin Zhao, Zhen Tian

arxiv:2501.12896 v1 · 2025-01-22 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XK24KFLQKI4GTK22Z3DTR4GV4D}

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	2026-07-05T10:04:00.241027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab5c51570523869ab5acec738f0d5e0d9504be3d12833a7162c45124b3ad6b1

Aliases

arxiv: 2501.12896 · arxiv_version: 2501.12896v1 · doi: 10.48550/arxiv.2501.12896 · pith_short_12: XK24KFLQKI4G · pith_short_16: XK24KFLQKI4GTK22 · pith_short_8: XK24KFLQ

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/XK24KFLQKI4GTK22Z3DTR4GV4D \
  | 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: bab5c51570523869ab5acec738f0d5e0d9504be3d12833a7162c45124b3ad6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fc2f5086534e2e261c73efdfeaffdaf6143412fb0bf27f559d1e1eccc29950",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-22T14:17:57Z",
    "title_canon_sha256": "980bf0972d990ab42af249b1d067af73528c07c7314ea7b38b0a5f0e890a5429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12896",
    "kind": "arxiv",
    "version": 1
  }
}