Pith Number

pith:ZSAN3ZI3

pith:2010:ZSAN3ZI3WJNZJKL7ZA6TYPLMUC

not attested not anchored not stored refs pending

The universality hypothesis: binary and stellar populations in star clusters and galaxies

Pavel Kroupa (Bonn)

arxiv:1012.1596 v1 · 2010-12-07 · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSAN3ZI3WJNZJKL7ZA6TYPLMUC}

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	2026-05-18T02:04:31.963522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc80dde51bb25b94a97fc83d3c3d6ca091a8aed13608d6f1cccd01a2a709b1fe

Aliases

arxiv: 1012.1596 · arxiv_version: 1012.1596v1 · doi: 10.48550/arxiv.1012.1596 · pith_short_12: ZSAN3ZI3WJNZ · pith_short_16: ZSAN3ZI3WJNZJKL7 · pith_short_8: ZSAN3ZI3

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/ZSAN3ZI3WJNZJKL7ZA6TYPLMUC \
  | 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: cc80dde51bb25b94a97fc83d3c3d6ca091a8aed13608d6f1cccd01a2a709b1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a96be86ec6412904590cb8e6561be09ef78a2e79bb369091ca93fb430d06d8e",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2010-12-07T21:00:00Z",
    "title_canon_sha256": "ee803e367b097091c0d1f2a11b7a230ec0b995e290b4fd32059d25b6542ea10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1596",
    "kind": "arxiv",
    "version": 1
  }
}