Pith Number

pith:23WQFVZA

pith:2013:23WQFVZAVK2GXQVHS56CWV53SP

not attested not anchored not stored refs pending

Testing modified gravity with Planck: the case of coupled dark energy

Valeria Pettorino

arxiv:1305.7457 v1 · 2013-05-31 · 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{23WQFVZAVK2GXQVHS56CWV53SP}

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

Planck 2018 results. VI. Cosmological parameters

Receipt and verification

First computed	2026-05-18T01:49:39.089407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ed02d720aab46bc2a7977c2b57bb93dd9722ec99e52a1c2bece0a04491d05f

Aliases

arxiv: 1305.7457 · arxiv_version: 1305.7457v1 · doi: 10.48550/arxiv.1305.7457 · pith_short_12: 23WQFVZAVK2G · pith_short_16: 23WQFVZAVK2GXQVH · pith_short_8: 23WQFVZA

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/23WQFVZAVK2GXQVHS56CWV53SP \
  | 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: d6ed02d720aab46bc2a7977c2b57bb93dd9722ec99e52a1c2bece0a04491d05f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5090d92d25050ee18d797d65ee0d84fbc1398f28bec2eb405c492633a38c19eb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-31T15:38:15Z",
    "title_canon_sha256": "3d0e7d124579c0fced54effa3e975042d1530805d37a6f0a2b7a434e8bc851ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7457",
    "kind": "arxiv",
    "version": 1
  }
}