pith. sign in
Pith Number

pith:P3EP5D6U

pith:2010:P3EP5D6U74P2YBWCSHNPRNDEW7
not attested not anchored not stored refs pending

Mass transport by buoyant bubbles in galaxy clusters

(2) University of Southampton, (3) University of Durham), Aaron Dotter (1) ((1) University of Victoria, Arif Babul (1), Edward C.D. Pope (1), Georgi Pavlovski (2), Richard G. Bower (3)

arxiv:1004.2050 v2 · 2010-04-12 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3EP5D6U74P2YBWCSHNPRNDEW7}

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 2026-05-18T02:08:06.476635Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ec8fe8fd4ff1fac06c291daf8b464b7c6949fa3dd285a4501f7af10695885d5

Aliases

arxiv: 1004.2050 · arxiv_version: 1004.2050v2 · doi: 10.48550/arxiv.1004.2050 · pith_short_12: P3EP5D6U74P2 · pith_short_16: P3EP5D6U74P2YBWC · pith_short_8: P3EP5D6U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3EP5D6U74P2YBWCSHNPRNDEW7 \
  | 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: 7ec8fe8fd4ff1fac06c291daf8b464b7c6949fa3dd285a4501f7af10695885d5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "83fc757213f596c84bfac67bef14c943d71362d875c245aa6bbcd1dfd2b2594d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-12T20:06:21Z",
    "title_canon_sha256": "4017fcde9701071d9eaa9a96089b5acc67032d6e7470134d37a48e14df6272ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2050",
    "kind": "arxiv",
    "version": 2
  }
}