Pith Number

pith:MKPHJZYB

pith:2008:MKPHJZYBQWNFMI2KCUTVXGIAEU

not attested not anchored not stored refs pending

The growth of matter perturbations in some scalar-tensor DE models

David Polarski, Radouane Gannouji

arxiv:0802.4196 v4 · 2008-02-28 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKPHJZYBQWNFMI2KCUTVXGIAEU}

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

Nonlinear dynamics in Horndeski gravity: a renormalized approach to effective gravitational coupling

Receipt and verification

First computed	2026-07-04T15:44:42.919141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629e74e701859a56234a15275b99002519f67bac104d900ece3ea54070d0966c

Aliases

arxiv: 0802.4196 · arxiv_version: 0802.4196v4 · doi: 10.48550/arxiv.0802.4196 · pith_short_12: MKPHJZYBQWNF · pith_short_16: MKPHJZYBQWNFMI2K · pith_short_8: MKPHJZYB

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/MKPHJZYBQWNFMI2KCUTVXGIAEU \
  | 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: 629e74e701859a56234a15275b99002519f67bac104d900ece3ea54070d0966c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b5ccbfdf91545e3e082263ea5d621a7f94e8d3ec2e9f86d4e24196fc2ecc35",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-02-28T17:13:58Z",
    "title_canon_sha256": "af945f314f25fb6a4add1d601fbc7e08de3414b97a7534c627c94448f8c5ec1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4196",
    "kind": "arxiv",
    "version": 4
  }
}