Pith Number

pith:MQ7GVGII

pith:2025:MQ7GVGIIYRJ42XEI2IF7B4C3FP

not attested not anchored not stored refs pending

Different physical and numerical sources of scatter in the $M_{\star}$-$M_{\mathrm{BH}}$ relation and their connection to galaxy evolution

Bocheng Zhu, Volker Springel

arxiv:2502.06203 v2 · 2025-02-10 · 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{MQ7GVGIIYRJ42XEI2IF7B4C3FP}

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	2026-07-05T12:10:55.184504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643e6a9908c453cd5c88d20bf0f05b2bf317e045c5edf96f73fd653dc8409dd6

Aliases

arxiv: 2502.06203 · arxiv_version: 2502.06203v2 · doi: 10.48550/arxiv.2502.06203 · pith_short_12: MQ7GVGIIYRJ4 · pith_short_16: MQ7GVGIIYRJ42XEI · pith_short_8: MQ7GVGII

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/MQ7GVGIIYRJ42XEI2IF7B4C3FP \
  | 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: 643e6a9908c453cd5c88d20bf0f05b2bf317e045c5edf96f73fd653dc8409dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef9ac630e10717bfb9505451ce3705b23642312b73b37793c340bd57fffd9ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2025-02-10T06:57:41Z",
    "title_canon_sha256": "027afdfa7465b1dec9f0a429d3fb6b7920f8d89cfc75671ba9f6f4e18be53995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06203",
    "kind": "arxiv",
    "version": 2
  }
}