Pith Number

pith:PYYVJU2U

pith:2026:PYYVJU2U2XMDWB5NH72MKANLOL

not attested not anchored not stored refs pending

Implicit Regularization of Mini-Batch Training in Graph Neural Networks

Antoine Vialle, Clement Wang, Robin Vaysse, Thomas Bonald

arxiv:2605.22480 v1 · 2026-05-21 · cs.LG · 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{PYYVJU2U2XMDWB5NH72MKANLOL}

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	2026-05-22T01:04:46.823230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3154d354d5d83b07ad3ff4c501ab72d08b51e86fc6c166e5612948b7ac7dd2

Aliases

arxiv: 2605.22480 · arxiv_version: 2605.22480v1 · doi: 10.48550/arxiv.2605.22480 · pith_short_12: PYYVJU2U2XMD · pith_short_16: PYYVJU2U2XMDWB5N · pith_short_8: PYYVJU2U

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/PYYVJU2U2XMDWB5NH72MKANLOL \
  | 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: 7e3154d354d5d83b07ad3ff4c501ab72d08b51e86fc6c166e5612948b7ac7dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6536a9301f4b2595a709e24740d06766ac66a39622302d04d8874f3eaa535e7a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T13:39:03Z",
    "title_canon_sha256": "86c593ed6171a2bb2d59d119c8cac903715ae63e4c575125ccac2b1ce82d4861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22480",
    "kind": "arxiv",
    "version": 1
  }
}