Pith Number

pith:DYQR6GTK

pith:2026:DYQR6GTK7QSK433HX54VNH4QGB

not attested not anchored not stored refs pending

A Topological Characterization of Graph Neural Networks via Stochastic Block Model Embeddings on the n-Sphere

Gopal Anantharaman

arxiv:2606.07598 v1 · 2026-05-29 · 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{DYQR6GTK7QSK433HX54VNH4QGB}

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	2026-06-09T00:04:44.432143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e211f1a6afc24ae6f67bf79569f90304dee15fc29cbfe763d6246a85abbef1f

Aliases

arxiv: 2606.07598 · arxiv_version: 2606.07598v1 · doi: 10.48550/arxiv.2606.07598 · pith_short_12: DYQR6GTK7QSK · pith_short_16: DYQR6GTK7QSK433H · pith_short_8: DYQR6GTK

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/DYQR6GTK7QSK433HX54VNH4QGB \
  | 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: 1e211f1a6afc24ae6f67bf79569f90304dee15fc29cbfe763d6246a85abbef1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73dd47cc57a0c7e9d8a38b45cc22e7b72d6029aed80e70158f45ea7e118c7ac5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T07:21:12Z",
    "title_canon_sha256": "109e88a4ea7dd3ede404eed377df50fdbc208424fbf7f3442ab272d33e97fba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07598",
    "kind": "arxiv",
    "version": 1
  }
}