pith. sign in
Pith Number

pith:RS4JAZ5U

pith:2010:RS4JAZ5UT3US6VRCYX5OQKQVCJ
not attested not anchored not stored refs pending

Varying couplings in the early universe: correlated variations of $\alpha$ and $G$

Alessandro Melchiorri, C.J.A.P. Martins, Eloisa Menegoni, Gianpiero Mangano, Silvia Galli

arxiv:1001.3418 v3 · 2010-01-19 · astro-ph.CO · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RS4JAZ5UT3US6VRCYX5OQKQVCJ}

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 2026-05-18T04:38:17.252263Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8cb89067b49ee92f5622c5fae82a1512456a55a6208c9498a568286deb4b8c64

Aliases

arxiv: 1001.3418 · arxiv_version: 1001.3418v3 · doi: 10.48550/arxiv.1001.3418 · pith_short_12: RS4JAZ5UT3US · pith_short_16: RS4JAZ5UT3US6VRC · pith_short_8: RS4JAZ5U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RS4JAZ5UT3US6VRCYX5OQKQVCJ \
  | 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: 8cb89067b49ee92f5622c5fae82a1512456a55a6208c9498a568286deb4b8c64
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "45e480bfa7084df045347c60a37a6deaddac7e21dd7418b40e6b5354fc25abfd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-19T21:22:12Z",
    "title_canon_sha256": "1944b05e794e5e4a2a716810905a92cc6799103df531291739442eb734a563f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3418",
    "kind": "arxiv",
    "version": 3
  }
}