Pith Number

pith:ESFRZKYY

pith:2021:ESFRZKYYGK22GXZEPONKYVW7KH

not attested not anchored not stored refs pending

The (Black Hole Mass)-(Spheroid Stellar Density) Relations: $M_{\rm BH}$--$\mu$ (and $M_{\rm BH}$--$\Sigma$) and $M_{\rm BH}$--$\rho$

Alister W. Graham, Benjamin L. Davis, Nandini Sahu

arxiv:2110.05037 v1 · 2021-10-11 · 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{ESFRZKYYGK22GXZEPONKYVW7KH}

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	2026-07-05T06:07:08.109344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248b1cab1832b5a35f247b9aac56df51f4ff2de438052e75a891c0f6a3b70b3a

Aliases

arxiv: 2110.05037 · arxiv_version: 2110.05037v1 · doi: 10.48550/arxiv.2110.05037 · pith_short_12: ESFRZKYYGK22 · pith_short_16: ESFRZKYYGK22GXZE · pith_short_8: ESFRZKYY

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/ESFRZKYYGK22GXZEPONKYVW7KH \
  | 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: 248b1cab1832b5a35f247b9aac56df51f4ff2de438052e75a891c0f6a3b70b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d14fa42d849fdb4b892141f2c5891a6ca2a79fcaf5ed77be0073f0381938929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-10-11T07:07:35Z",
    "title_canon_sha256": "f6a382919e6e2cf592bc553ea308d9ddf944a6f6aeeae6013e08f5e844538065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05037",
    "kind": "arxiv",
    "version": 1
  }
}