Pith Number

pith:5C72EHCN

pith:2009:5C72EHCNM7QJJSMB2D5EGI34I7

not attested not anchored not stored refs pending

Galaxy Clusters as mirrors of the distant Universe. Implications for the kSZ and ISW effects

((1) MPA, 2), (2) IKI), Carlos Hernandez-Monteagudo (1), Rashid A. Sunyaev (1

arxiv:0905.3001 v2 · 2009-05-19 · 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{5C72EHCNM7QJJSMB2D5EGI34I7}

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	2026-05-18T02:13:38.775678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bfa21c4d67e094c981d0fa43237c47d4f20ed88cf3fa129101d5b31d9106cd

Aliases

arxiv: 0905.3001 · arxiv_version: 0905.3001v2 · doi: 10.48550/arxiv.0905.3001 · pith_short_12: 5C72EHCNM7QJ · pith_short_16: 5C72EHCNM7QJJSMB · pith_short_8: 5C72EHCN

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/5C72EHCNM7QJJSMB2D5EGI34I7 \
  | 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: e8bfa21c4d67e094c981d0fa43237c47d4f20ed88cf3fa129101d5b31d9106cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9642cd6b647e2597637844863dadbfb4f82afafbf441ce508871f70ae7d0ba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-19T02:53:29Z",
    "title_canon_sha256": "fe18c687c49352267d6a309e2a00ade1f64919dc7f609c9d53d53290690b9281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3001",
    "kind": "arxiv",
    "version": 2
  }
}