pith. sign in
Pith Number

pith:XN2ZZ6Y3

pith:2013:XN2ZZ6Y3GCS57RSDX2ME5GIJVB
not attested not anchored not stored refs pending

Probing the evolution of the substructure frequency in galaxy clusters up to z~1

A. Wei{\ss}mann, G. Chon, H. B\"ohringer

arxiv:1307.3734 v1 · 2013-07-14 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XN2ZZ6Y3GCS57RSDX2ME5GIJVB}

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 2026-05-18T03:17:46.121853Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bb759cfb1b30a5dfc643be984e9909a85fb14c23787d736fd14c02a9ba7c0a6b

Aliases

arxiv: 1307.3734 · arxiv_version: 1307.3734v1 · doi: 10.48550/arxiv.1307.3734 · pith_short_12: XN2ZZ6Y3GCS5 · pith_short_16: XN2ZZ6Y3GCS57RSD · pith_short_8: XN2ZZ6Y3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XN2ZZ6Y3GCS57RSDX2ME5GIJVB \
  | 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: bb759cfb1b30a5dfc643be984e9909a85fb14c23787d736fd14c02a9ba7c0a6b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f783ee6cd78d6480a21c3571b77d19b2aac4e475b66f2228fcde81b23eb5f0c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-14T13:08:24Z",
    "title_canon_sha256": "4877de5c66228bfbf8fb9c471eedbbeda2b3a6cb5989ecf71da886464ce8c077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3734",
    "kind": "arxiv",
    "version": 1
  }
}