Pith Number

pith:5WGTQPPZ

pith:2026:5WGTQPPZ6TD2LSZNDOAWOQUGCO

not attested not anchored not stored refs pending

The $M_{\rm BH}$$-$$R_{\rm b}$ relation and the high-mass end of the $M_{\rm BH}$$-$$\sigma$ relation

Bililign Dullo

arxiv:2606.12669 v1 · 2026-06-10 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WGTQPPZ6TD2LSZNDOAWOQUGCO}

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	2026-06-12T01:08:43.690625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8d383df9f4c7a5cb2d1b8167428613aaa48b37309037a86d3133a903623ef3

Aliases

arxiv: 2606.12669 · arxiv_version: 2606.12669v1 · doi: 10.48550/arxiv.2606.12669 · pith_short_12: 5WGTQPPZ6TD2 · pith_short_16: 5WGTQPPZ6TD2LSZN · pith_short_8: 5WGTQPPZ

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/5WGTQPPZ6TD2LSZNDOAWOQUGCO \
  | 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: ed8d383df9f4c7a5cb2d1b8167428613aaa48b37309037a86d3133a903623ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffb1081b6275e4d4e8dbbf57a06239e67cda7b6cac812d81e8f8c27008ad9ac",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-10T20:54:03Z",
    "title_canon_sha256": "58877c831dd74d6c6f0d731dbb4f2de87d2687e75dc2e28c878da4dded9e66fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12669",
    "kind": "arxiv",
    "version": 1
  }
}