Pith Number

pith:FWBOK4YF

pith:2007:FWBOK4YFAYEWCU4RJKCNQVWMHE

not attested not anchored not stored refs pending

Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales II: Perturbative and numerical analyses of power spectrum and bispectrum

Akihito Shirata, Chiaki Hikage, Naoki Yoshida, Tetsuya Shiromizu, Yasushi Suto

arxiv:0705.1311 v1 · 2007-05-09 · astro-ph · gr-qc · 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{FWBOK4YFAYEWCU4RJKCNQVWMHE}

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	2026-07-04T15:33:55.028119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d82e5730506096153914a84d856cc392be436d08f04a2a7575a7f01294b3f25

Aliases

arxiv: 0705.1311 · arxiv_version: 0705.1311v1 · doi: 10.48550/arxiv.0705.1311 · pith_short_12: FWBOK4YFAYEW · pith_short_16: FWBOK4YFAYEWCU4R · pith_short_8: FWBOK4YF

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/FWBOK4YFAYEWCU4RJKCNQVWMHE \
  | 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: 2d82e5730506096153914a84d856cc392be436d08f04a2a7575a7f01294b3f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8551585d6aa6e3923675924e807257a17b25ef4042d48e071eaf688bb06b2b9d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-05-09T15:42:20Z",
    "title_canon_sha256": "9fbef228f54f331062a1663d873c050a9382952f82f46616a6378460cd5df278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1311",
    "kind": "arxiv",
    "version": 1
  }
}