Pith Number

pith:M4PJI5SB

pith:2004:M4PJI5SBOZBWLCDEEICEPBOCTF

not attested not anchored not stored refs pending

The Fundamental Building Blocks of Galaxies

Pavel Kroupa (UniBonn)

arxiv:astro-ph/0412069 v2 · 2004-12-02 · 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{M4PJI5SBOZBWLCDEEICEPBOCTF}

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

1 paper in Pith

The most massive star clusters in molecular clouds: Insights from the integrated cloud-wide initial mass function (ICIMF) theory

Receipt and verification

First computed	2026-07-04T14:13:56.629257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671e947641764365886422044785c2996c86988169f6e6bb27000b187cb60d61

Aliases

arxiv: astro-ph/0412069 · arxiv_version: astro-ph/0412069v2 · doi: 10.48550/arxiv.astro-ph/0412069 · pith_short_12: M4PJI5SBOZBW · pith_short_16: M4PJI5SBOZBWLCDE · pith_short_8: M4PJI5SB

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/M4PJI5SBOZBWLCDEEICEPBOCTF \
  | 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: 671e947641764365886422044785c2996c86988169f6e6bb27000b187cb60d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7fe83f179f5bdb4fca1c0720e2350ce89b012d8a71540931283e4fba965b87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-02T21:00:02Z",
    "title_canon_sha256": "3e7b2314233c3a32772eebf31af91c666b5f6036877052f62b07985e05ccc327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412069",
    "kind": "arxiv",
    "version": 2
  }
}