Pith Number

pith:ZERGUA22

pith:2021:ZERGUA22TODIAXUXKSPIESB2UH

not attested not anchored not stored refs pending

Learn Locally, Correct Globally: A Distributed Algorithm for Training Graph Neural Networks

Anand Sivasubramaniam, Mahmut T. Kandemir, Mehrdad Mahdavi, Morteza Ramezani, Weilin Cong

arxiv:2111.08202 v4 · 2021-11-16 · 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{ZERGUA22TODIAXUXKSPIESB2UH}

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	2026-07-05T04:04:43.556289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9226a035a9b86805e97549e82483aa1f4a26d8550c7fe52f200139000560979

Aliases

arxiv: 2111.08202 · arxiv_version: 2111.08202v4 · doi: 10.48550/arxiv.2111.08202 · pith_short_12: ZERGUA22TODI · pith_short_16: ZERGUA22TODIAXUX · pith_short_8: ZERGUA22

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/ZERGUA22TODIAXUXKSPIESB2UH \
  | 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: c9226a035a9b86805e97549e82483aa1f4a26d8550c7fe52f200139000560979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19180d48bf5c06d3aeff8de4a18c54cf79d29a96b3523f953beb3f3f950fd69b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-16T03:07:01Z",
    "title_canon_sha256": "f6f1839dadd266fada8a88789bd7be97a778e7a4227afbe675719896a3ab8efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08202",
    "kind": "arxiv",
    "version": 4
  }
}