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Pith Number

pith:4BHWB5TG

pith:2011:4BHWB5TG5LVAPQOKE4HZDJD5ZU
not attested not anchored not stored refs pending

Mass Functions of Supermassive Black Holes Across Cosmic Time

Andrea Merloni, Brandon C. Kelly

arxiv:1112.1430 v1 · 2011-12-06 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4BHWB5TG5LVAPQOKE4HZDJD5ZU}

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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T01:59:16.065710Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e04f60f666eaea07c1ca270f91a47dcd0404d1ae2c06642e4f20b966d162bea9

Aliases

arxiv: 1112.1430 · arxiv_version: 1112.1430v1 · doi: 10.48550/arxiv.1112.1430 · pith_short_12: 4BHWB5TG5LVA · pith_short_16: 4BHWB5TG5LVAPQOK · pith_short_8: 4BHWB5TG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4BHWB5TG5LVAPQOKE4HZDJD5ZU \
  | 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: e04f60f666eaea07c1ca270f91a47dcd0404d1ae2c06642e4f20b966d162bea9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7cd610d62a96a845bc23ca43c03db031e39735f916ab4bbdb5a848304119522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-06T21:33:23Z",
    "title_canon_sha256": "d0993ae1fdbfd3a99ac38e050fbc0112c624990a94eb36f1357c466fe8374dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1430",
    "kind": "arxiv",
    "version": 1
  }
}