pith. sign in
Pith Number

pith:7GAVUXGK

pith:2014:7GAVUXGK6MZPP3IFDPJW4VVUTC
not attested not anchored not stored refs pending

The Bullet Cluster is not a Cosmological Anomaly

Craig Lage, Glennys R. Farrar

arxiv:1406.6703 v2 · 2014-06-25 · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7GAVUXGK6MZPP3IFDPJW4VVUTC}

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 2026-05-18T02:25:32.606874Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f9815a5ccaf332f7ed051bd36e56b4989eb93fa52d8663487b394423a19f594f

Aliases

arxiv: 1406.6703 · arxiv_version: 1406.6703v2 · doi: 10.48550/arxiv.1406.6703 · pith_short_12: 7GAVUXGK6MZP · pith_short_16: 7GAVUXGK6MZPP3IF · pith_short_8: 7GAVUXGK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7GAVUXGK6MZPP3IFDPJW4VVUTC \
  | 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: f9815a5ccaf332f7ed051bd36e56b4989eb93fa52d8663487b394423a19f594f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ef0deb8cc8da8929b7c2213e40d5f545f9866cfd6f1b936170b4bf6c55d184bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2014-06-25T20:12:43Z",
    "title_canon_sha256": "c1ebc4eaefb83baee7b87c18533ea8187652a1bc41a05c5b6befaa7022a8ebd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6703",
    "kind": "arxiv",
    "version": 2
  }
}