Pith Number

pith:T2Q2TZDO

pith:2010:T2Q2TZDO7V43YYN7S33KYSULYA

not attested not anchored not stored refs pending

Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies. II. comparison of covariant formalisms

Naoki Itoh, Satoshi Nozawa, Yasuharu Kohyama

arxiv:1009.2311 v2 · 2010-09-13 · astro-ph.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2Q2TZDO7V43YYN7S33KYSULYA}

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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	2026-05-18T04:32:55.686068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea1a9e46efd79bc61bf96f6ac4a8bc031c31d40fb9d059d0de8fca7d766fb85

Aliases

arxiv: 1009.2311 · arxiv_version: 1009.2311v2 · doi: 10.48550/arxiv.1009.2311 · pith_short_12: T2Q2TZDO7V43 · pith_short_16: T2Q2TZDO7V43YYN7 · pith_short_8: T2Q2TZDO

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/T2Q2TZDO7V43YYN7S33KYSULYA \
  | 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: 9ea1a9e46efd79bc61bf96f6ac4a8bc031c31d40fb9d059d0de8fca7d766fb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02def332b9eb36800c4276dcf4547a23c124c2536dc21c656181a2def5ab8482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-13T07:20:32Z",
    "title_canon_sha256": "ae17da27b0f873a7913f904bebb85b016a2abb4a1241c9d6e1b796fd94e0ffc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2311",
    "kind": "arxiv",
    "version": 2
  }
}