Pith Number

pith:WOYKH6T3

pith:2015:WOYKH6T3HQRCXVBUFWRUI7RQG6

not attested not anchored not stored refs pending

Distinguishing between $\Lambda$CDM and modified gravity with future observations of cosmic growth rate

Koichi Hirano

arxiv:1512.09077 v1 · 2015-12-30 · 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{WOYKH6T3HQRCXVBUFWRUI7RQG6}

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.

Cited by

1 paper in Pith

Is $\omega_0 \omega_a$CDM a good model for the clumpy Universe?

Receipt and verification

First computed	2026-05-18T01:23:34.082363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b0a3fa7b3c222bd4342da3447e30378198cadce662d3807e11d2583e1d6399

Aliases

arxiv: 1512.09077 · arxiv_version: 1512.09077v1 · doi: 10.48550/arxiv.1512.09077 · pith_short_12: WOYKH6T3HQRC · pith_short_16: WOYKH6T3HQRCXVBU · pith_short_8: WOYKH6T3

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/WOYKH6T3HQRCXVBUFWRUI7RQG6 \
  | 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: b3b0a3fa7b3c222bd4342da3447e30378198cadce662d3807e11d2583e1d6399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "405144a39ecce0c1a312cd3d49e75509fada6b8057a484821b4162a682fbc0fa",
    "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": "2015-12-30T19:37:50Z",
    "title_canon_sha256": "995ab6a68418136d032ce87f677ff6ffdc17390777e63dccbf5804c852bf4940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09077",
    "kind": "arxiv",
    "version": 1
  }
}