Pith Number

pith:EGN5JSJ5

pith:2009:EGN5JSJ5REKBED6QX2CUWFPITN

not attested not anchored not stored refs pending

Cluster formation and the Sunyaev-Zel'dovich power spectrum in modified gravity: the case of a phenomenologically extended DGP model

Hiroyuki Tashiro, Tsutomu Kobayashi

arxiv:0903.3738 v2 · 2009-03-22 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGN5JSJ5REKBED6QX2CUWFPITN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:14:26.729915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

219bd4c93d8914120fd0be854b15e89b5330e43cc1f99722c4e10436b980cec3

Aliases

arxiv: 0903.3738 · arxiv_version: 0903.3738v2 · doi: 10.48550/arxiv.0903.3738 · pith_short_12: EGN5JSJ5REKB · pith_short_16: EGN5JSJ5REKBED6Q · pith_short_8: EGN5JSJ5

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/EGN5JSJ5REKBED6QX2CUWFPITN \
  | 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: 219bd4c93d8914120fd0be854b15e89b5330e43cc1f99722c4e10436b980cec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b145ce20400d6d8d1e355db311c930ca758ea0a83278fccd003272dbe36c2214",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-03-22T16:28:55Z",
    "title_canon_sha256": "01862eced24e7389fdcedeb811a051f661ff8db492f11dbc0681e88367d57405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3738",
    "kind": "arxiv",
    "version": 2
  }
}