Pith Number

pith:M5G2QFQ5

pith:2012:M5G2QFQ5HRQOBS6LZJ7VKCOSDO

not attested not anchored not stored refs pending

The growth index of matter perturbations and modified gravity

Athina Pouri, Spyros Basilakos

arxiv:1203.6724 v2 · 2012-03-30 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5G2QFQ5HRQOBS6LZJ7VKCOSDO}

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	2026-05-18T01:58:00.199111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674da8161d3c60e0cbcbca7f5509d21b80848ea99cb31dd48978581e036e5f90

Aliases

arxiv: 1203.6724 · arxiv_version: 1203.6724v2 · doi: 10.48550/arxiv.1203.6724 · pith_short_12: M5G2QFQ5HRQO · pith_short_16: M5G2QFQ5HRQOBS6L · pith_short_8: M5G2QFQ5

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/M5G2QFQ5HRQOBS6LZJ7VKCOSDO \
  | 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: 674da8161d3c60e0cbcbca7f5509d21b80848ea99cb31dd48978581e036e5f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c7ed49b8d9bbb281256a8483bef9144827a73aba2199fabd10649970683724",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-30T07:01:04Z",
    "title_canon_sha256": "8434dcea7c6149c9cf7728d56e0d92157bd1115e0db67f95b165d19d03092bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6724",
    "kind": "arxiv",
    "version": 2
  }
}