Pith Number

pith:QLPT3WEN

pith:2011:QLPT3WENGU6O2OIXUPCVKA7Y5U

not attested not anchored not stored refs pending

Limits on Dark Radiation, Early Dark Energy, and Relativistic Degrees of Freedom

Alessandro Melchiorri, Dragan Huterer, Eric V. Linder, Erminia Calabrese, Luca Pagano

arxiv:1103.4132 v1 · 2011-03-21 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLPT3WENGU6O2OIXUPCVKA7Y5U}

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

CMB signatures of gravity-mediated dark radiation in $\mathbf{\Delta N_{\rm eff}}$

Receipt and verification

First computed	2026-05-18T04:20:14.244037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82df3dd88d353ced3917a3c55503f8ed2b5eac3512a6e25446c5170f2b2be83e

Aliases

arxiv: 1103.4132 · arxiv_version: 1103.4132v1 · doi: 10.48550/arxiv.1103.4132 · pith_short_12: QLPT3WENGU6O · pith_short_16: QLPT3WENGU6O2OIX · pith_short_8: QLPT3WEN

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/QLPT3WENGU6O2OIXUPCVKA7Y5U \
  | 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: 82df3dd88d353ced3917a3c55503f8ed2b5eac3512a6e25446c5170f2b2be83e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc1491cd34541d97750f4ab1bcfeb67add248ba3fd82536ee3fa1ca4b00594f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-21T20:00:52Z",
    "title_canon_sha256": "3655ce413412b8f97256a42e3a96b90ef7cda394075fa2194b6404503d87907f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4132",
    "kind": "arxiv",
    "version": 1
  }
}