Pith Number

pith:CE4TXUHD

pith:2026:CE4TXUHDMSJYUXYP34XX44RIJB

not attested not anchored not stored refs pending

The Baryonic Faber-Jackson Relation and Fundamental Plane of Galaxy Groups, Elliptical Galaxies, and Dwarf Galaxies

Chung-Ming Ko, Enrico Di Teodoro, Federico Lelli, Konstantin Haubner, Kyu-Hyun Chae, Marcel S. Pawlowski, Meng Hua Kuo, Stacy McGaugh, Yi Duann, Yong Tian

arxiv:2605.26965 v1 · 2026-05-26 · 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{CE4TXUHDMSJYUXYP34XX44RIJB}

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	2026-05-27T01:06:21.911203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11393bd0e364938a5f0fdf2f7e7228486142d0de7a19a9b78b49ce59fb935631

Aliases

arxiv: 2605.26965 · arxiv_version: 2605.26965v1 · doi: 10.48550/arxiv.2605.26965 · pith_short_12: CE4TXUHDMSJY · pith_short_16: CE4TXUHDMSJYUXYP · pith_short_8: CE4TXUHD

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/CE4TXUHDMSJYUXYP34XX44RIJB \
  | 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: 11393bd0e364938a5f0fdf2f7e7228486142d0de7a19a9b78b49ce59fb935631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08509b4d0db15eec4654a01840a58a5701fac55ac55dbb1e8e3e68af651f340c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-05-26T12:52:30Z",
    "title_canon_sha256": "59988d8fadfa43406ab0688f21de59e3d47c2da7363eaff91cf82c6f68fa2f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26965",
    "kind": "arxiv",
    "version": 1
  }
}