Pith Number

pith:K5ACOU2O

pith:2026:K5ACOU2OXOZPTZ7GPUVWS6L4N3

not attested not anchored not stored refs pending

Cluster vs Field: Clear Evidence for a Morphology-Density Relation in All Environments at $z\sim1.6$

Adam Muzzin, Allison Noble, Ben Forrest, Gillian Wilson, Jasleen Matharu, Julie B. Nantais, Ricardo Demarco, Tracy Webb, Westley Brown

arxiv:2606.26252 v1 · 2026-06-24 · 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{K5ACOU2OXOZPTZ7GPUVWS6L4N3}

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	2026-06-26T00:15:31.424076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574027534ebbb2f9e7e67d2b69797c6ec9da2ee240b3b633d20a6c40cfb722b7

Aliases

arxiv: 2606.26252 · arxiv_version: 2606.26252v1 · doi: 10.48550/arxiv.2606.26252 · pith_short_12: K5ACOU2OXOZP · pith_short_16: K5ACOU2OXOZPTZ7G · pith_short_8: K5ACOU2O

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/K5ACOU2OXOZPTZ7GPUVWS6L4N3 \
  | 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: 574027534ebbb2f9e7e67d2b69797c6ec9da2ee240b3b633d20a6c40cfb722b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd8e673e6559698cc934f41222637e5db82f77df0a223884c15679e51b46ded",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-24T18:01:01Z",
    "title_canon_sha256": "b9f3bffd5482b7aa8743b521a413032844f5a4a0c91af9c1789af0a54fff92d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26252",
    "kind": "arxiv",
    "version": 1
  }
}