Pith Number

pith:NIF7OUI5

pith:2009:NIF7OUI5PYPNC442YHA2KY5EDJ

not attested not anchored not stored refs pending

Infrared divergence of pure Einstein gravity contributions to cosmological density power spectrum

Donghui Jeong, Hyerim Noh, Jai-chan Hwang

arxiv:0902.4285 v3 · 2009-02-25 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIF7OUI5PYPNC442YHA2KY5EDJ}

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	2026-07-04T15:48:45.161657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a0bf7511d7e1ed1739ac1c1a563a41a61a6bd770edf328f73f950d164d0b34a

Aliases

arxiv: 0902.4285 · arxiv_version: 0902.4285v3 · doi: 10.48550/arxiv.0902.4285 · pith_short_12: NIF7OUI5PYPN · pith_short_16: NIF7OUI5PYPNC442 · pith_short_8: NIF7OUI5

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/NIF7OUI5PYPNC442YHA2KY5EDJ \
  | 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: 6a0bf7511d7e1ed1739ac1c1a563a41a61a6bd770edf328f73f950d164d0b34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8fff3dc8edef33c4b38cf697558665c15e4e19a29cf6612700bf3aac651fe5b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-02-25T05:04:42Z",
    "title_canon_sha256": "d4cf25cd17cbfff7374cd335d42fe5640ad1e596dca0f4b755b4d196aeff3601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4285",
    "kind": "arxiv",
    "version": 3
  }
}