Pith Number

pith:BKTET7IQ

pith:2003:BKTET7IQFLGUSDOACTCFJBB2ZR

not attested not anchored not stored refs pending

Spherical collapse and mass function of rich clusters in models with curvature and cosmological constant

B. Novosyadlyj (Astronomical Observatory of Ivan Franko National University of L'viv), Yu. Kulinich

arxiv:astro-ph/0302358 v2 · 2003-02-18 · 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{BKTET7IQFLGUSDOACTCFJBB2ZR}

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	2026-07-04T14:12:36.637870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa649fd102acd490dc014c454843acc63a0d19f8c25ce8353860d4bf4092424

Aliases

arxiv: astro-ph/0302358 · arxiv_version: astro-ph/0302358v2 · doi: 10.48550/arxiv.astro-ph/0302358 · pith_short_12: BKTET7IQFLGU · pith_short_16: BKTET7IQFLGUSDOA · pith_short_8: BKTET7IQ

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/BKTET7IQFLGUSDOACTCFJBB2ZR \
  | 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: 0aa649fd102acd490dc014c454843acc63a0d19f8c25ce8353860d4bf4092424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1af00d4f5c7de53c8241df9f38f5f16333102f328cda825f0cf3c3e14b8901b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-02-18T19:22:46Z",
    "title_canon_sha256": "061febd7bf7c6f77759f790cd810d3f6f71537d3627030f2c9d08270b595d18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0302358",
    "kind": "arxiv",
    "version": 2
  }
}