Pith Number

pith:5FX2UV5U

pith:2026:5FX2UV5U5RHVMTC3FIBJRRIUNN

not attested not anchored not stored refs pending

CurveFP: Rational-Radix Logarithmic Datatypes with Closed Products for Language Models

Ye Qiao

arxiv:2608.10010 v1 · 2026-08-08 · 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{5FX2UV5U5RHVMTC3FIBJRRIUNN}

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	2026-08-12T00:22:35.679510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96faa57b4ec4f564c5b2a0298c5146b42f2cba76a50788b467bde44754ef23b

Aliases

arxiv: 2608.10010 · arxiv_version: 2608.10010v1 · doi: 10.48550/arxiv.2608.10010 · pith_short_12: 5FX2UV5U5RHV · pith_short_16: 5FX2UV5U5RHVMTC3 · pith_short_8: 5FX2UV5U

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/5FX2UV5U5RHVMTC3FIBJRRIUNN \
  | 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: e96faa57b4ec4f564c5b2a0298c5146b42f2cba76a50788b467bde44754ef23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ba379f2d9574db9c75822d0d55700e7e8467e5bfbe49ea7b3b3b73a34a4bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-08T01:55:46Z",
    "title_canon_sha256": "1d3591f6ac1531e16bf2d4521f281f0c75deda578f71d76158c4d8725c28f66b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10010",
    "kind": "arxiv",
    "version": 1
  }
}