Pith Number

pith:4GCZBCUI

pith:2016:4GCZBCUIUIX5RPYME2VJTVZ4JX

not attested not anchored not stored refs pending

Clustering, Cosmology and a New Era of Black Hole Demographics -- II. The Conditional Luminosity Functions of Type 2 and Type 1 Active Galactic Nuclei

D.R. Ballantyne (Center for Relativistic Astrophysics, Georgia Tech)

arxiv:1604.08219 v2 · 2016-04-27 · astro-ph.CO · astro-ph.GA · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GCZBCUIUIX5RPYME2VJTVZ4JX}

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	2026-05-18T01:04:20.669087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e185908a88a22fd8bf0c26aa99d73c4df53a1d43a3d536e93e8c7b7ccc216561

Aliases

arxiv: 1604.08219 · arxiv_version: 1604.08219v2 · doi: 10.48550/arxiv.1604.08219 · pith_short_12: 4GCZBCUIUIX5 · pith_short_16: 4GCZBCUIUIX5RPYM · pith_short_8: 4GCZBCUI

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/4GCZBCUIUIX5RPYME2VJTVZ4JX \
  | 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: e185908a88a22fd8bf0c26aa99d73c4df53a1d43a3d536e93e8c7b7ccc216561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd93f1ef9f09d0166102bb62e19f8c8aad271161a85bc7f0a2e0f746d685eff",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-27T20:04:00Z",
    "title_canon_sha256": "8b65a3afa10e513245a623dcd75d7f6f66395d25b31a9dce2ef0f00c2635372a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08219",
    "kind": "arxiv",
    "version": 2
  }
}