Pith Number

pith:PNPRK7VW

pith:2025:PNPRK7VWGOQI5PUOHWSM36RTUN

not attested not anchored not stored refs pending

EinHops: Einsum Notation for Expressive Homomorphic Operations on RNS-CKKS Tensors

Austin Ebel, Brandon Reagen, Karthik Garimella

arxiv:2507.07972 v1 · 2025-07-10 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNPRK7VWGOQI5PUOHWSM36RTUN}

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	2026-07-05T11:35:07.720222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5f157eb633a08ebe8e3da4cdfa33a37147e8492e0eac7dcc0fc5a9515e8384

Aliases

arxiv: 2507.07972 · arxiv_version: 2507.07972v1 · doi: 10.48550/arxiv.2507.07972 · pith_short_12: PNPRK7VWGOQI · pith_short_16: PNPRK7VWGOQI5PUO · pith_short_8: PNPRK7VW

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/PNPRK7VWGOQI5PUOHWSM36RTUN \
  | 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: 7b5f157eb633a08ebe8e3da4cdfa33a37147e8492e0eac7dcc0fc5a9515e8384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2036ed62600911c005f50416ec52ca50715307ce939f78ba543992a0e0dd780",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2025-07-10T17:50:10Z",
    "title_canon_sha256": "79f1d20173d3e3c9eab79167399e60d482c67086456585dfa9cbad29ee1925fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07972",
    "kind": "arxiv",
    "version": 1
  }
}