Pith Number

pith:4Z2QHS2M

pith:2026:4Z2QHS2MHGO3APARPUTPFMTNJK

not attested not anchored not stored refs pending

Machine Learning applications to Galaxy Clusters

Daniel de Andr\'es, Gustavo Yepes

arxiv:2605.21991 v1 · 2026-05-21 · astro-ph.CO · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z2QHS2MHGO3APARPUTPFMTNJK}

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	2026-05-22T01:04:19.242160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67503cb4c399db03c117d26f2b26d4a87f61cfd98eb802887f364fab3dfb56a

Aliases

arxiv: 2605.21991 · arxiv_version: 2605.21991v1 · doi: 10.48550/arxiv.2605.21991 · pith_short_12: 4Z2QHS2MHGO3 · pith_short_16: 4Z2QHS2MHGO3APAR · pith_short_8: 4Z2QHS2M

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/4Z2QHS2MHGO3APARPUTPFMTNJK \
  | 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: e67503cb4c399db03c117d26f2b26d4a87f61cfd98eb802887f364fab3dfb56a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4a083d249165629f3241b9ee89f85ae42401a1a2a977ba060fc94ef5713350",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-21T04:38:45Z",
    "title_canon_sha256": "c7c82eef7c303540db4e3d6a50528c56c858f04a44328cc38c4f33e8b1e78c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21991",
    "kind": "arxiv",
    "version": 1
  }
}