Pith Number

pith:XGR44CAN

pith:2009:XGR44CANYAWBAL6PUXFL73HR57

not attested not anchored not stored refs pending

Implications of the remarkable homogeneity of galaxy groups and clusters

Michael L. Balogh, Sean L. McGee (University of Waterloo)

arxiv:0912.0938 v1 · 2009-12-04 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGR44CANYAWBAL6PUXFL73HR57}

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	2026-05-18T02:10:26.363514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a3ce080dc02c102fcfa5cabfecf1efd4425b241b057425751642a33fa1f1ec

Aliases

arxiv: 0912.0938 · arxiv_version: 0912.0938v1 · doi: 10.48550/arxiv.0912.0938 · pith_short_12: XGR44CANYAWB · pith_short_16: XGR44CANYAWBAL6P · pith_short_8: XGR44CAN

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/XGR44CANYAWBAL6PUXFL73HR57 \
  | 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: b9a3ce080dc02c102fcfa5cabfecf1efd4425b241b057425751642a33fa1f1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba7ddc5357d813598214829adb65a8e2e28345cfe3a0c5952adff283c1a0a0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-04T21:00:40Z",
    "title_canon_sha256": "f603388ebb1c1fd078ad349695ac00b6dbe40277bf35b048a662d3c83db378a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0938",
    "kind": "arxiv",
    "version": 1
  }
}