Pith Number

pith:YR7DW4A5

pith:2026:YR7DW4A5LVOBODE3WC3C7442VK

not attested not anchored not stored refs pending

New black hole mass calibrations and the fundamental plane of the broad-line region size, luminosity, and velocity

Hojin Cho, Jimin Kim, Jong-Hak Woo, Shu Wang

A three-parameter fundamental plane for broad-line region size, luminosity, and velocity yields new black hole mass estimators that lower previous values by up to 0.5 dex.

arxiv:2603.07047 v3 · 2026-03-07 · astro-ph.GA

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\usepackage{pith}
\pithnumber{YR7DW4A5LVOBODE3WC3C7442VK}

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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.

Claims

C1strongest claim

the new mass estimator substantially changes the cosmic black hole mass density and the growth of black hole seeds in the early universe

C2weakest assumption

That the Eddington ratio correction derived from the 157-AGN sample fully removes systematic offsets and applies to the broader AGN population without residual selection or measurement biases

C3one line summary

A new fundamental plane for AGN BLR size-luminosity-velocity incorporating Eddington ratio yields single-epoch black hole mass estimators with 0.21 dex scatter, reducing prior overestimates by up to 0.5 dex.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Can BLR line profile shape improve single-epoch black hole mass estimates?

Receipt and verification

First computed	2026-06-02T02:04:15.774483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47e3b701d5d5c170c9bb0b62ff39aaa8bf0679d980c8a485a852a89ec3798e6

Aliases

arxiv: 2603.07047 · arxiv_version: 2603.07047v3 · doi: 10.48550/arxiv.2603.07047 · pith_short_12: YR7DW4A5LVOB · pith_short_16: YR7DW4A5LVOBODE3 · pith_short_8: YR7DW4A5

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/YR7DW4A5LVOBODE3WC3C7442VK \
  | 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: c47e3b701d5d5c170c9bb0b62ff39aaa8bf0679d980c8a485a852a89ec3798e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3365a54b7e613a3136509997efdbab5362741106d57ec8cbd26ad5e89c830ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-03-07T05:55:52Z",
    "title_canon_sha256": "dd3cf64e6632452fdc9459db58bf228c905f93f1dc01591f9421f27507374e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07047",
    "kind": "arxiv",
    "version": 3
  }
}