Pith Number

pith:76HYUZ3K

pith:2026:76HYUZ3K34ZE2PFPBUA4GKWWQU

not attested not anchored not stored refs pending

Fast Graph-based Higher-Order Clustering Statistics on the GPU

Cristiano G. Sabiu

arxiv:2607.06604 v1 · 2026-07-07 · astro-ph.IM · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76HYUZ3K34ZE2PFPBUA4GKWWQU}

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	2026-07-09T00:19:19.998502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8f8a676adf324d3caf0d01c32ad6850a1f49b468206e33b02c21e95808932c

Aliases

arxiv: 2607.06604 · arxiv_version: 2607.06604v1 · doi: 10.48550/arxiv.2607.06604 · pith_short_12: 76HYUZ3K34ZE · pith_short_16: 76HYUZ3K34ZE2PFP · pith_short_8: 76HYUZ3K

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/76HYUZ3K34ZE2PFPBUA4GKWWQU \
  | 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: ff8f8a676adf324d3caf0d01c32ad6850a1f49b468206e33b02c21e95808932c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecf7add09f2f15a9d8ce6e70a3054cf8e6a515f8670199b93a85f5efc1d7c46",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-07-07T03:28:08Z",
    "title_canon_sha256": "c6e0b4bf8b7fe3bae91dfaf7c4d881bbe6a28ac77f6f95aef4c4a7ba35de9efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06604",
    "kind": "arxiv",
    "version": 1
  }
}