Pith Number

pith:JYGNOLQ7

pith:2010:JYGNOLQ7YTUVZJ5G5C6NIMLCRL

not attested not anchored not stored refs pending

Parametrization for the Scale Dependent Growth in Modified Gravity

James B. Dent, Juan C. Bueno Sanchez, Leandros Perivolaropoulos, Sourish Dutta

arxiv:1004.4905 v4 · 2010-04-27 · 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{JYGNOLQ7YTUVZJ5G5C6NIMLCRL}

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	2026-05-18T04:39:59.253820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0cd72e1fc4e95ca7a6e8bcd431628afa60bbf4f39e533da92398c1f3b04cda

Aliases

arxiv: 1004.4905 · arxiv_version: 1004.4905v4 · doi: 10.48550/arxiv.1004.4905 · pith_short_12: JYGNOLQ7YTUV · pith_short_16: JYGNOLQ7YTUVZJ5G · pith_short_8: JYGNOLQ7

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/JYGNOLQ7YTUVZJ5G5C6NIMLCRL \
  | 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: 4e0cd72e1fc4e95ca7a6e8bcd431628afa60bbf4f39e533da92398c1f3b04cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6804a2e858a688c90d8a8db04da012be816d2909fa9a62c0eef0d2b7512b31c3",
    "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": "2010-04-27T20:13:46Z",
    "title_canon_sha256": "43cfaacd7eb687cf8f838e74ea4a501fa31828627f525ce7e2cee4213d770d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4905",
    "kind": "arxiv",
    "version": 4
  }
}