Pith Number

pith:DFMARLTP

pith:2026:DFMARLTP2WBXN6YUU2L4EPCFHY

not attested not anchored not stored refs pending

The velocity dispersion function of red galaxies in four Hubble Frontier Fields galaxy clusters

A. Mercurio, C. Grillo, G. Angora, G. B. Caminha, G. Granata, L. Tortorelli, M. D'Addona, P. Bergamini, P. Rosati

arxiv:2603.26869 v2 · 2026-03-27 · astro-ph.GA · 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{DFMARLTP2WBXN6YUU2L4EPCFHY}

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	2026-05-27T02:05:19.083293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195808ae6fd58376fb14a697c23c453e3c00d7471d0c1e05907a1beff7ad31d3

Aliases

arxiv: 2603.26869 · arxiv_version: 2603.26869v2 · doi: 10.48550/arxiv.2603.26869 · pith_short_12: DFMARLTP2WBX · pith_short_16: DFMARLTP2WBXN6YU · pith_short_8: DFMARLTP

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/DFMARLTP2WBXN6YUU2L4EPCFHY \
  | 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: 195808ae6fd58376fb14a697c23c453e3c00d7471d0c1e05907a1beff7ad31d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4d17cf45ea6f70a6e6f72143c1ea698e45495bef279e4d2d8e204c1a6af020",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-03-27T18:00:00Z",
    "title_canon_sha256": "2a405d94fd983a58b9e9703bcce525eb3681119aae82628cf280a939511065d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.26869",
    "kind": "arxiv",
    "version": 2
  }
}