Pith Number

pith:BRQCKQUE

pith:2004:BRQCKQUEKPYONWZAF3A5HM5YNX

not attested not anchored not stored refs pending

Quasars formation around clusters of primordial black holes

Sergei Rubin, Vyacheslav Dokuchaev, Yury Eroshenko

arxiv:astro-ph/0412418 v2 · 2004-12-16 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRQCKQUEKPYONWZAF3A5HM5YNX}

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

3 papers in Pith

Primordial Black Holes as Dark Matter: Recent Developments

Constraints on Primordial Black Holes

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Receipt and verification

First computed	2026-07-04T14:48:19.885915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6025428453f0e6db202ec1d3b3b86dfd7af4519474d3c00c58c127ada43915

Aliases

arxiv: astro-ph/0412418 · arxiv_version: astro-ph/0412418v2 · doi: 10.48550/arxiv.astro-ph/0412418 · pith_short_12: BRQCKQUEKPYO · pith_short_16: BRQCKQUEKPYONWZA · pith_short_8: BRQCKQUE

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/BRQCKQUEKPYONWZAF3A5HM5YNX \
  | 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: 0c6025428453f0e6db202ec1d3b3b86dfd7af4519474d3c00c58c127ada43915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f2df7a57465328df5a77b4b05cfc7a3f5186b6ec81f397bcdfc7c74be0af73",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-16T15:02:02Z",
    "title_canon_sha256": "5df2ed2728f7c37aeeb919484c07e9887692a4f39204da10440b83c055cd4fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412418",
    "kind": "arxiv",
    "version": 2
  }
}