Pith Number

pith:XULGJLCF

pith:2021:XULGJLCFDF6EA64COTHZH7P76S

not attested not anchored not stored refs pending

Edge Federated Learning Via Unit-Modulus Over-The-Air Computation

Derrick Wing Kwan Ng, Qi Hao, Rui Wang, Shuai Wang, Yik-Chung Wu, Yuncong Hong

arxiv:2101.12051 v5 · 2021-01-28 · cs.IT · cs.AI · 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{XULGJLCFDF6EA64COTHZH7P76S}

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	2026-07-05T04:13:08.923286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1664ac45197c407b8274cf93fdfff4b6c3f019f42c7c5b833b6aa093b666bf

Aliases

arxiv: 2101.12051 · arxiv_version: 2101.12051v5 · doi: 10.48550/arxiv.2101.12051 · pith_short_12: XULGJLCFDF6E · pith_short_16: XULGJLCFDF6EA64C · pith_short_8: XULGJLCF

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/XULGJLCFDF6EA64COTHZH7P76S \
  | 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: bd1664ac45197c407b8274cf93fdfff4b6c3f019f42c7c5b833b6aa093b666bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06553a20cc71acd4706ca83f9431324bf56c91b955439b9576c92e1eb12346ec",
    "cross_cats_sorted": [
      "cs.AI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-01-28T15:10:22Z",
    "title_canon_sha256": "f33da520a462596aa1a087acd6159392954bb7bc50f17dde1229ca96d16f55ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.12051",
    "kind": "arxiv",
    "version": 5
  }
}