Pith Number

pith:U45TA3YH

pith:2026:U45TA3YHIZQAOFBMSKRZOOWTFK

not attested not anchored not stored refs pending

From Diffusion to Reaction-Diffusion: A Dynamical-Systems View of Oversmoothing in Hypergraph Neural Networks

Dengyi Zhao, Guiying Yan, Mengyao Zhou, Xingqin Qi, Yancheng Chen, Zhiheng Zhou

arxiv:2607.15773 v1 · 2026-07-17 · 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{U45TA3YHIZQAOFBMSKRZOOWTFK}

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	2026-07-20T01:19:09.322373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73b306f07466007142c92a3973ad32aa903be81dd8b78adaa949b7be089332c

Aliases

arxiv: 2607.15773 · arxiv_version: 2607.15773v1 · doi: 10.48550/arxiv.2607.15773 · pith_short_12: U45TA3YHIZQA · pith_short_16: U45TA3YHIZQAOFBM · pith_short_8: U45TA3YH

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/U45TA3YHIZQAOFBMSKRZOOWTFK \
  | 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: a73b306f07466007142c92a3973ad32aa903be81dd8b78adaa949b7be089332c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98f5b3ba5900b41607564b5b11a39328226fe7e00ebbe4b29e5e12ecda26e2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-17T09:04:22Z",
    "title_canon_sha256": "2d0c2d4b03c17343cf7e08ef5d5090863cf5f259a1286129d769650fa08bbd4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15773",
    "kind": "arxiv",
    "version": 1
  }
}