Pith Number

pith:6VNRCDWY

pith:2024:6VNRCDWY3ZF3JHHEUJVPFRUBPB

not attested not anchored not stored refs pending

Optimal Exact Recovery in Semi-Supervised Learning: A Study of Spectral Methods and Graph Convolutional Networks

Hai-Xiao Wang, Zhichao Wang

arxiv:2412.13754 v1 · 2024-12-18 · cs.LG · math.PR · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VNRCDWY3ZF3JHHEUJVPFRUBPB}

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	2026-07-05T09:51:07.790856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55b110ed8de4bb49ce4a26af2c681784a7a4e35ce78b2a8c6be3a6f6ca8a4a7

Aliases

arxiv: 2412.13754 · arxiv_version: 2412.13754v1 · doi: 10.48550/arxiv.2412.13754 · pith_short_12: 6VNRCDWY3ZF3 · pith_short_16: 6VNRCDWY3ZF3JHHE · pith_short_8: 6VNRCDWY

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/6VNRCDWY3ZF3JHHEUJVPFRUBPB \
  | 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: f55b110ed8de4bb49ce4a26af2c681784a7a4e35ce78b2a8c6be3a6f6ca8a4a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98605f16c3ef6dd078ca426e6d04e1d38ce3f111291a2f81d463ef87c8d709e1",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-18T11:44:19Z",
    "title_canon_sha256": "408c384d21d5ca7d9e96b93c9ecefb0bacd350d2d11c3120c66e7fe8fbfb8012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13754",
    "kind": "arxiv",
    "version": 1
  }
}