Pith Number

pith:GBAOOZ2B

pith:2014:GBAOOZ2BORTK55GE5VXPSXCS2Q

not attested not anchored not stored refs pending

How rare is the Bullet Cluster (in a $\Lambda$CDM universe)?

David Kraljic (Oxford), Subir Sarkar (Oxford & Copenhagen)

arxiv:1412.7719 v2 · 2014-12-24 · 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{GBAOOZ2BORTK55GE5VXPSXCS2Q}

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	2026-05-18T02:17:33.306915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3040e767417466aef4c4ed6ef95c52d407fb01715ba454f931f373d7ab359623

Aliases

arxiv: 1412.7719 · arxiv_version: 1412.7719v2 · doi: 10.48550/arxiv.1412.7719 · pith_short_12: GBAOOZ2BORTK · pith_short_16: GBAOOZ2BORTK55GE · pith_short_8: GBAOOZ2B

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/GBAOOZ2BORTK55GE5VXPSXCS2Q \
  | 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: 3040e767417466aef4c4ed6ef95c52d407fb01715ba454f931f373d7ab359623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f1a8e6ea6346023bf5e8f8856bec3decbe1478c3dca862fb616fbe953d0cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-12-24T17:37:40Z",
    "title_canon_sha256": "ad3cac981e3f01b8f8837a82b3509ef7713d098bef1a96c96324abe33cad0b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7719",
    "kind": "arxiv",
    "version": 2
  }
}