Pith Number

pith:QJIIGOCZ

pith:2023:QJIIGOCZOI42GXT3CLS36SM4VJ

not attested not anchored not stored refs pending

The Capacity Region of Information Theoretic Secure Aggregation with Uncoded Groupwise Keys

Giuseppe Caire, Hua Sun, Kai Wan, Mingyue Ji, Tiebin Mi

arxiv:2310.09889 v2 · 2023-10-15 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJIIGOCZOI42GXT3CLS36SM4VJ}

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	2026-07-05T07:12:00.415983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82508338597239a35e7b12e5bf499caa78a4f07bf17b7ff79b6276c68466db49

Aliases

arxiv: 2310.09889 · arxiv_version: 2310.09889v2 · doi: 10.48550/arxiv.2310.09889 · pith_short_12: QJIIGOCZOI42 · pith_short_16: QJIIGOCZOI42GXT3 · pith_short_8: QJIIGOCZ

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/QJIIGOCZOI42GXT3CLS36SM4VJ \
  | 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: 82508338597239a35e7b12e5bf499caa78a4f07bf17b7ff79b6276c68466db49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed9cc8c7ce2a2e39c7ac1e7f02bf7f802d240ab27e03fb67305ddddf8b8bc90",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-10-15T17:14:08Z",
    "title_canon_sha256": "6ae77aaa0b5927f7937017801b447fe50e7d50d1715bd801aaf92a770452e50a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09889",
    "kind": "arxiv",
    "version": 2
  }
}