Pith Number

pith:LJAZLV47

pith:2026:LJAZLV47VJQLECVWZ4534ZIG6X

not attested not anchored not stored refs pending

A Spectral Theory of Normalized Corrected GNN Propagation

Jianfeng Hou, Meng Qin, Qihan Chen, Wei Li

arxiv:2606.23572 v1 · 2026-06-22 · 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{LJAZLV47VJQLECVWZ4534ZIG6X}

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	2026-06-23T03:14:31.237178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4195d79faa60b20ab6cf3bbe6506f5d7a148292bdd56daeb835e7e1e0b8392

Aliases

arxiv: 2606.23572 · arxiv_version: 2606.23572v1 · doi: 10.48550/arxiv.2606.23572 · pith_short_12: LJAZLV47VJQL · pith_short_16: LJAZLV47VJQLECVW · pith_short_8: LJAZLV47

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/LJAZLV47VJQLECVWZ4534ZIG6X \
  | 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: 5a4195d79faa60b20ab6cf3bbe6506f5d7a148292bdd56daeb835e7e1e0b8392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d188a0d377aafc12db90ef13f9cf58385c8d504eaa3fe4d6f90f35386b50bffb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T16:38:50Z",
    "title_canon_sha256": "a1728b32fbbf9ed86c879f8554a4655ad06eb42e1995d870484a8475f65dacc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23572",
    "kind": "arxiv",
    "version": 1
  }
}