Pith Number

pith:2FRA7NDP

pith:2026:2FRA7NDPJVYTYULE3WZQ3MRBH6

not attested not anchored not stored refs pending

A Generalized Tikhonov Layer for Interpretable-by-design Graph Neural Networks

Benjamin Ricaud, Filippo Maria Bianchi, Nicolas Tremblay

arxiv:2605.28578 v1 · 2026-05-27 · 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{2FRA7NDPJVYTYULE3WZQ3MRBH6}

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	2026-05-28T02:04:56.882454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1620fb46f4d713c5164ddb30db2213fbb6f1bef164c572b90ede444f13fa38d

Aliases

arxiv: 2605.28578 · arxiv_version: 2605.28578v1 · doi: 10.48550/arxiv.2605.28578 · pith_short_12: 2FRA7NDPJVYT · pith_short_16: 2FRA7NDPJVYTYULE · pith_short_8: 2FRA7NDP

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/2FRA7NDPJVYTYULE3WZQ3MRBH6 \
  | 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: d1620fb46f4d713c5164ddb30db2213fbb6f1bef164c572b90ede444f13fa38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f63694a1a128c588a3b5734e19986fcde0fa66378f81adba43a64e2f0dbd16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-27T15:01:16Z",
    "title_canon_sha256": "3a936b38d4acc500037cc08dc054bfe37d4c0247a6becac2d4b8ffaf0a3db6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28578",
    "kind": "arxiv",
    "version": 1
  }
}