Pith Number

pith:XL3UYG4Y

pith:2026:XL3UYG4YK2RZY2R4VEWC6XVMMU

not attested not anchored not stored refs pending

Cluster gravitational redshifts: uncertainties and survey requirements

Alan F. Heavens, Eleni Tsaprazi, Enrico Maraboli, Federico Marulli, Giorgio F. Lesci

arxiv:2603.25339 v1 · 2026-03-26 · 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{XL3UYG4YK2RZY2R4VEWC6XVMMU}

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	2026-06-19T16:10:36.848037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf74c1b9856a39c6a3ca92c2f5eac6521d9ab74d768de5302cd31cdf835eb5f

Aliases

arxiv: 2603.25339 · arxiv_version: 2603.25339v1 · doi: 10.48550/arxiv.2603.25339 · pith_short_12: XL3UYG4YK2RZ · pith_short_16: XL3UYG4YK2RZY2R4 · pith_short_8: XL3UYG4Y

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/XL3UYG4YK2RZY2R4VEWC6XVMMU \
  | 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: baf74c1b9856a39c6a3ca92c2f5eac6521d9ab74d768de5302cd31cdf835eb5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd08bba37b00ea9f945c18a03024e07c3bbb98a1ca9f988174bc20c4bdf1d7c9",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-26T11:30:13Z",
    "title_canon_sha256": "c5a73bd2ee002ad3044deda116713274b08b391ebaae31b3a79f31e430941bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.25339",
    "kind": "arxiv",
    "version": 1
  }
}