Pith Number

pith:LKITXFSO

pith:2026:LKITXFSOJ3XVZUXFQFO6EOBXPG

not attested not anchored not stored refs pending

Beyond Self-Similarity: Reconciling X-Ray Scaling Relations in Galaxy Clusters and Groups

S. Ettori (INAF-OAS Bologna)

arxiv:2606.02719 v1 · 2026-06-01 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKITXFSOJ3XVZUXFQFO6EOBXPG}

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	2026-06-03T00:05:07.850123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a913b964e4eef5cd2e5815de2383779b8995157f1caa0913e6e29de16e01c9c

Aliases

arxiv: 2606.02719 · arxiv_version: 2606.02719v1 · doi: 10.48550/arxiv.2606.02719 · pith_short_12: LKITXFSOJ3XV · pith_short_16: LKITXFSOJ3XVZUXF · pith_short_8: LKITXFSO

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/LKITXFSOJ3XVZUXFQFO6EOBXPG \
  | 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: 5a913b964e4eef5cd2e5815de2383779b8995157f1caa0913e6e29de16e01c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55dd5e584cec0c9b0c467e8b44220a9495af8a5caf8d6ac4ba16091469c1423",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-01T18:00:05Z",
    "title_canon_sha256": "b6d9e1075660897a45ea798044b2b1e34e36d8db3cbb5c92f91e3aa043620473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02719",
    "kind": "arxiv",
    "version": 1
  }
}