Pith Number

pith:4YEICF33

pith:2016:4YEICF33QPDUG7WRSBULO3JTML

not attested not anchored not stored refs pending

The Most Massive Galaxies and Black Holes Allowed by $\Lambda$CDM

JHU), Joseph Silk (IAP, Peter Behroozi (UArizona, Steward Observatory)

arxiv:1609.04402 v2 · 2016-09-14 · 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{4YEICF33QPDUG7WRSBULO3JTML}

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.

Cited by

1 paper in Pith

Empirical estimates of how massive galaxies can be in {\Lambda}CDM

Receipt and verification

First computed	2026-05-18T00:14:34.921497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60881177b83c7437ed19068b76d3362c31aa5e31584f680ea455711767eadb7

Aliases

arxiv: 1609.04402 · arxiv_version: 1609.04402v2 · doi: 10.48550/arxiv.1609.04402 · pith_short_12: 4YEICF33QPDU · pith_short_16: 4YEICF33QPDUG7WR · pith_short_8: 4YEICF33

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/4YEICF33QPDUG7WRSBULO3JTML \
  | 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: e60881177b83c7437ed19068b76d3362c31aa5e31584f680ea455711767eadb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9035e56ad98c8fe9c7ce46a205e2bf9a45d883fe5a702c0d5575973849140009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-09-14T20:00:00Z",
    "title_canon_sha256": "dc3551d8bb8b1925f7626d563ed62c878c13a2e8d75559e6239c7c8ea2e32458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04402",
    "kind": "arxiv",
    "version": 2
  }
}