Pith Number

pith:OPAUB7VP

pith:2026:OPAUB7VP4DBY53JPAK6DOBIT2I

not attested not anchored not stored refs pending

TGHE: Template-based Graph Homomorphic Encryption for Privacy-Preserving GNN Inference in Edge-Cloud Systems

Heath Cooper, John Le, Jun Shen, Ngoc Bao Anh Le, Thai T. Vu

arxiv:2606.26664 v1 · 2026-06-25 · cs.CR · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPAUB7VP4DBY53JPAK6DOBIT2I}

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	2026-06-26T01:15:56.267768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c140feafe0c38eed2f02bc370513d22f9bfe0a9e83b91ea9ec04450407a968

Aliases

arxiv: 2606.26664 · arxiv_version: 2606.26664v1 · doi: 10.48550/arxiv.2606.26664 · pith_short_12: OPAUB7VP4DBY · pith_short_16: OPAUB7VP4DBY53JP · pith_short_8: OPAUB7VP

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/OPAUB7VP4DBY53JPAK6DOBIT2I \
  | 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: 73c140feafe0c38eed2f02bc370513d22f9bfe0a9e83b91ea9ec04450407a968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fe6b479716125e31b0aab0228af37f9da8e5736859d5831065e04e12c1f4dd",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2026-06-25T06:55:06Z",
    "title_canon_sha256": "07b5c78775e0ff7075edbc2aa2e7e1e1e18cfa75a97a488e5778b1d6536cddc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26664",
    "kind": "arxiv",
    "version": 1
  }
}