Pith Number

pith:FSBK2IEQ

pith:2000:FSBK2IEQHQHRCVYQNFFZ3FIEKF

not attested not anchored not stored refs pending

The spherical collapse model in a universe with cosmological constant

Ewa L. Lokas, Y. Hoffman

arxiv:astro-ph/0011295 v1 · 2000-11-15 · 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{FSBK2IEQHQHRCVYQNFFZ3FIEKF}

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	2026-05-18T01:00:27.772741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c82ad20903c0f115710694b9d9504514da74410d3395f1dd8ce6414a3587851

Aliases

arxiv: astro-ph/0011295 · arxiv_version: astro-ph/0011295v1 · doi: 10.48550/arxiv.astro-ph/0011295 · pith_short_12: FSBK2IEQHQHR · pith_short_16: FSBK2IEQHQHRCVYQ · pith_short_8: FSBK2IEQ

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/FSBK2IEQHQHRCVYQNFFZ3FIEKF \
  | 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: 2c82ad20903c0f115710694b9d9504514da74410d3395f1dd8ce6414a3587851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5512d54047cef5b261c42b4857329460aca39489f4f644e3288abbeebe8c5d2b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-11-15T11:49:12Z",
    "title_canon_sha256": "3c037f52f7407276ad0816a9bf68983bf1a5000834b36f5f2ae2033d53bd563a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0011295",
    "kind": "arxiv",
    "version": 1
  }
}